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Up-Conversion Electroluminescence (UCEL)

Updated 10 July 2026
  • UCEL is a phenomenon where the emitted photon energy exceeds the electrical bias, achieved by multi-electron and many-body storage mechanisms.
  • Recent studies demonstrate UCEL in varied regimes—from single-molecule STML to 2D heterostructures—using dark states, triplet shelving, and excitonic Auger processes.
  • Key design strategies involve suppressing nonradiative quenching, precise state alignment, and engineered interfaces to control energy-accumulation pathways.

Up-conversion electroluminescence (UCEL) denotes electroluminescence in which the emitted photon energy exceeds the electrical energy supplied per injected or tunneling electron, expressed as eV<ωe|V| < \hbar\omega in scanning tunneling microscope-induced luminescence (STML) and as hν>eVSDh\nu > eV_{\mathrm{SD}} in vertical tunneling devices (Rai et al., 15 Aug 2025, Svatek et al., 2019). Conventional electroluminescence satisfies ωeV\hbar\omega \le e|V|; UCEL therefore requires multi-electron, energy-storage, or many-body pathways that accumulate energy in molecular or excitonic states before radiative decay (Rai et al., 15 Aug 2025, Binder et al., 2019). Recent work spans four experimentally distinct UCEL regimes: adsorption-geometry-gated charge-injection cascades in a single radical molecule, triplet-shelving UCEL in a plasmonic STM nanocavity, sequential inelastic tunneling through a supramolecular monolayer in a van der Waals tunnel diode, and excitonic Auger upconversion from dense interlayer-exciton reservoirs in type-II transition-metal dichalcogenide heterostructures (Rai et al., 15 Aug 2025, Zheng et al., 10 Sep 2025, Svatek et al., 2019, Binder et al., 2019).

1. Energetic criterion and microscopic requirements

The defining energetic inequality of UCEL is that the photon energy exceeds the single-electron electrical energy budget. In STML, the condition is eV<ωe|V| < \hbar\omega, while in the molecular/2D tunneling-diode literature it is written as hν>eVSDh\nu > eV_{\mathrm{SD}} (Rai et al., 15 Aug 2025, Svatek et al., 2019). This distinction in notation does not alter the physical requirement: single-electron excitation of the emissive state is energetically forbidden, so the junction must realize a relay mechanism.

In the reported systems, the relay takes one of three forms. In single-molecule STML of radicals and heavy-metal porphyrins, the relay is a sequence of transiently charged and neutral excited states, often including dark doublet or triplet intermediates (Rai et al., 15 Aug 2025, Zheng et al., 10 Sep 2025). In a supramolecular PTCDI tunnel diode, the relay is an intermediate triplet state T1T_1 reached by inelastic electron scattering and then promoted to the emissive singlet by a second inelastic event (Svatek et al., 2019). In WSe2_2/MoS2_2 heterostructures, the relay is not a single molecular state but a dense reservoir of long-lived interlayer excitons whose mutual collisions activate excitonic Auger upconversion into intralayer excitons (Binder et al., 2019).

Elementary energy conservation remains local even when the net emission is overbias. For the charge-injection mechanism in VOPc, each charge-addition or charge-removal step obeys eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}, where ΔECI\Delta E_{\mathrm{CI}} is the energy difference between the initial and final molecular states involved in a charge addition/removal step (Rai et al., 15 Aug 2025). In the PTCDI tunnel diode, inelastic excitation rates follow Fermi’s golden rule, hν>eVSDh\nu > eV_{\mathrm{SD}}0, and the threshold for triplet excitation is reached when hν>eVSDh\nu > eV_{\mathrm{SD}}1 (Svatek et al., 2019). In the TMD heterostructure, the reservoir kinetics are summarized by

hν>eVSDh\nu > eV_{\mathrm{SD}}2

with UCEL intensity

hν>eVSDh\nu > eV_{\mathrm{SD}}3

making explicit that overbias emission can emerge from quadratic many-body loss channels rather than direct one-particle injection (Binder et al., 2019).

2. Adsorption-induced gating in a single radical molecule

A particularly direct realization of UCEL control is provided by single vanadyl phthalocyanine (VOPc) molecules adsorbed on three monolayers of NaCl on Au(111) and studied at hν>eVSDh\nu > eV_{\mathrm{SD}}4 K with STML and DFT/TD-DFT (Rai et al., 15 Aug 2025). VOPc is a neutral, stable radical with total spin hν>eVSDh\nu > eV_{\mathrm{SD}}5, a doublet ground state hν>eVSDh\nu > eV_{\mathrm{SD}}6, and an unpaired electron localized predominantly in a vanadium-centered orbital of the vanadyl unit. On NaCl/Au(111), the molecule adopts two adsorption geometries: O-up, in which the vanadyl oxygen points away from the surface and appears lower in STM topographs, and O-down, in which the oxygen points toward the surface and appears higher. The two forms are reversibly interconverted by tip manipulation, consistent with identical chemical composition. The NaCl layer suppresses direct hybridization and nonradiative quenching to the metal while still allowing charge injection through the molecule. TD-DFT places the two lowest neutral excited doublet states hν>eVSDh\nu > eV_{\mathrm{SD}}7 at hν>eVSDh\nu > eV_{\mathrm{SD}}8–hν>eVSDh\nu > eV_{\mathrm{SD}}9 eV with very small oscillator strengths, and bright neutral excited states ωeV\hbar\omega \le e|V|0 at ωeV\hbar\omega \le e|V|1 eV that produce the observed ωeV\hbar\omega \le e|V|2 band. The cation ωeV\hbar\omega \le e|V|3 has a triplet ground state ωeV\hbar\omega \le e|V|4, and in the O-down geometry additional low-lying triplet excited states with very low oscillator strengths, labeled ωeV\hbar\omega \le e|V|5, appear only in O-down.

The spectroscopic consequence is geometry-gated UCEL. At sufficiently negative bias, both geometries show a ωeV\hbar\omega \le e|V|6 band at ωeV\hbar\omega \le e|V|7 eV and an ωeV\hbar\omega \le e|V|8 band at ωeV\hbar\omega \le e|V|9 eV. The eV<ωe|V| < \hbar\omega0 peak is narrow in O-down, with Lorentzian width eV<ωe|V| < \hbar\omega1 meV, and broader in O-up, eV<ωe|V| < \hbar\omega2 meV; the eV<ωe|V| < \hbar\omega3 band is instrument-limited at eV<ωe|V| < \hbar\omega4 meV. Differential conductance shows the positive ion resonance at eV<ωe|V| < \hbar\omega5 V and negative ion resonances at eV<ωe|V| < \hbar\omega6 V in O-up and at eV<ωe|V| < \hbar\omega7 V in O-down, with onset at eV<ωe|V| < \hbar\omega8 V. Bias-dependent photon counts then separate ordinary EL from true upconversion: in O-up, no emission occurs for eV<ωe|V| < \hbar\omega9 V hν>eVSDh\nu > eV_{\mathrm{SD}}0, and both hν>eVSDh\nu > eV_{\mathrm{SD}}1 and hν>eVSDh\nu > eV_{\mathrm{SD}}2 appear only for hν>eVSDh\nu > eV_{\mathrm{SD}}3 V hν>eVSDh\nu > eV_{\mathrm{SD}}4 V and above, where hν>eVSDh\nu > eV_{\mathrm{SD}}5 is equal to or exceeds the photon energies. In O-down, by contrast, hν>eVSDh\nu > eV_{\mathrm{SD}}6 emission appears already at hν>eVSDh\nu > eV_{\mathrm{SD}}7 V, exactly at the positive ion resonance onset; since hν>eVSDh\nu > eV_{\mathrm{SD}}8 eV and hν>eVSDh\nu > eV_{\mathrm{SD}}9 eV, the condition T1T_10 is satisfied. The current dependence follows T1T_11 with T1T_12 for both geometries and is closer to T1T_13 in O-down, while second-order photon correlation measurements show antibunching and a slower emission cycle for O-down with a fitted time constant of about T1T_14 ns; O-up shows no antibunching (Rai et al., 15 Aug 2025).

The mechanism is a purely charge-injection cascade gated by adsorption-induced spin interaction with the substrate. The reported sequence is:

  • Step 1: T1T_15 at T1T_16 V by electron removal to the tip.
  • Step 2: T1T_17 by electron capture from the substrate, producing a dark neutral excited state.
  • Step 3: T1T_18 by a second electron removal; this is accessible only in O-down because the low-lying dark cationic triplets are absent in O-up.
  • Step 4: T1T_19 by electron capture.
  • Step 5: Radiative decay 2_20, yielding the 2_21 photon at 2_22 eV.

Quadratic-response TD-DFT further shows that the summed oscillator strength for 2_23 higher neutral states within the experimental window is 2_24 in O-down versus 2_25 in O-up, dominated by 2_26. The study attributes the gating of UCEL to a reordering of excited states and enhanced excited-state transition probabilities caused by altered screening of the vanadyl unit in O-down. It also states that there is no experimental indication for inelastic energy transfer being needed for UCEL, that plasmonic assistance is not required to explain the band positions or bias thresholds, and that vibrational sidebands modulate line shapes but are not the energy source for upconversion (Rai et al., 15 Aug 2025).

3. Triplet shelving in a plasmonic STM nanocavity

A second single-molecule implementation uses Pd-octaethylporphyrin (PdOEP) decoupled from Ag(111) or Ag(100) by an ultrathin NaCl layer and measured in a plasmonic STM nanocavity at 2_27 K (Zheng et al., 10 Sep 2025). On 2_28 ML NaCl/Ag(111), the 2_29 spectrum shows a positive ion resonance onset at 2_20 V and a negative ion resonance at 2_21 V. STML resolves two narrow electronic transitions: 2_22 fluorescence at 2_23 nm (2_24 eV), with FWHM 2_25 meV, and 2_26 phosphorescence at 2_27 nm (2_28 eV), with FWHM 2_29 meV. The linewidths imply lower bounds eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}0 fs and eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}1 ps, while the eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}2 lifetime is estimated to lie in the eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}3 ps–eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}4 ns range after including charge-exchange quenching. The tip–sample junction provides wavelength-dependent Purcell enhancement; the local plasmon spectrum is strong between eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}5–eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}6 eV, favoring eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}7 visibility, and weaker at eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}8 eV, so plasmon normalization is required to compare eVΔECIe|V| \ge \Delta E_{\mathrm{CI}}9 and ΔECI\Delta E_{\mathrm{CI}}0 intensities. After normalization, the ΔECI\Delta E_{\mathrm{CI}}1 peak area ratio is ΔECI\Delta E_{\mathrm{CI}}2.

UCEL is observed for the singlet line when the sample bias magnitude drops below ΔECI\Delta E_{\mathrm{CI}}3 V. Bias scans from ΔECI\Delta E_{\mathrm{CI}}4 to ΔECI\Delta E_{\mathrm{CI}}5 V show that the ΔECI\Delta E_{\mathrm{CI}}6 peak persists across the transition from energy-allowed excitation to UCEL, and at ΔECI\Delta E_{\mathrm{CI}}7 V the inequality ΔECI\Delta E_{\mathrm{CI}}8 is satisfied. Simultaneous monitoring of ΔECI\Delta E_{\mathrm{CI}}9 and hν>eVSDh\nu > eV_{\mathrm{SD}}00 from hν>eVSDh\nu > eV_{\mathrm{SD}}01 to hν>eVSDh\nu > eV_{\mathrm{SD}}02 V shows both lines present at all voltages, with an approximately constant intensity ratio across the UCEL transition at fixed current hν>eVSDh\nu > eV_{\mathrm{SD}}03 pA. This behavior supports a common threshold governed by the positive ion resonance and a pumping route in which hν>eVSDh\nu > eV_{\mathrm{SD}}04 occupancy mediates subsequent population of hν>eVSDh\nu > eV_{\mathrm{SD}}05 even when direct hν>eVSDh\nu > eV_{\mathrm{SD}}06 excitation is energetically inaccessible (Zheng et al., 10 Sep 2025).

The proposed pathway is triplet-mediated upconversion via charged relay states. Electron extraction at the positive ion resonance produces hν>eVSDh\nu > eV_{\mathrm{SD}}07. Substrate-mediated neutralization then yields hν>eVSDh\nu > eV_{\mathrm{SD}}08 or hν>eVSDh\nu > eV_{\mathrm{SD}}09; the hν>eVSDh\nu > eV_{\mathrm{SD}}10 state is not directly accessible from hν>eVSDh\nu > eV_{\mathrm{SD}}11 in the UCEL window due to energy conservation. The triplet can decay radiatively to hν>eVSDh\nu > eV_{\mathrm{SD}}12 or be quenched by charge exchange through hν>eVSDh\nu > eV_{\mathrm{SD}}13 or hν>eVSDh\nu > eV_{\mathrm{SD}}14. The decisive UCEL step is electron-assisted upconversion from hν>eVSDh\nu > eV_{\mathrm{SD}}15, where the excess electron tunnels to the tip and promotes hν>eVSDh\nu > eV_{\mathrm{SD}}16. Direct hν>eVSDh\nu > eV_{\mathrm{SD}}17 spin-flip by a tunneling electron and direct hν>eVSDh\nu > eV_{\mathrm{SD}}18 spin flip are described as inefficient here.

A minimal steady-state rate model for the ground, triplet, and singlet populations hν>eVSDh\nu > eV_{\mathrm{SD}}19, hν>eVSDh\nu > eV_{\mathrm{SD}}20, and hν>eVSDh\nu > eV_{\mathrm{SD}}21 uses four effective rates hν>eVSDh\nu > eV_{\mathrm{SD}}22–hν>eVSDh\nu > eV_{\mathrm{SD}}23: hν>eVSDh\nu > eV_{\mathrm{SD}}24

hν>eVSDh\nu > eV_{\mathrm{SD}}25

hν>eVSDh\nu > eV_{\mathrm{SD}}26

with hν>eVSDh\nu > eV_{\mathrm{SD}}27 and hν>eVSDh\nu > eV_{\mathrm{SD}}28, hν>eVSDh\nu > eV_{\mathrm{SD}}29. A central consequence is

hν>eVSDh\nu > eV_{\mathrm{SD}}30

so the singlet-to-triplet population ratio is proportional to current because hν>eVSDh\nu > eV_{\mathrm{SD}}31 while hν>eVSDh\nu > eV_{\mathrm{SD}}32 is constant. Joint fits reproduce superlinear hν>eVSDh\nu > eV_{\mathrm{SD}}33 scaling and near-linear hν>eVSDh\nu > eV_{\mathrm{SD}}34 scaling, with exponents hν>eVSDh\nu > eV_{\mathrm{SD}}35–hν>eVSDh\nu > eV_{\mathrm{SD}}36 for hν>eVSDh\nu > eV_{\mathrm{SD}}37 at hν>eVSDh\nu > eV_{\mathrm{SD}}38 V over hν>eVSDh\nu > eV_{\mathrm{SD}}39–hν>eVSDh\nu > eV_{\mathrm{SD}}40 pA and hν>eVSDh\nu > eV_{\mathrm{SD}}41–hν>eVSDh\nu > eV_{\mathrm{SD}}42 for hν>eVSDh\nu > eV_{\mathrm{SD}}43 at hν>eVSDh\nu > eV_{\mathrm{SD}}44 V over hν>eVSDh\nu > eV_{\mathrm{SD}}45–hν>eVSDh\nu > eV_{\mathrm{SD}}46 pA. The best-fit parameters are

hν>eVSDh\nu > eV_{\mathrm{SD}}47

hν>eVSDh\nu > eV_{\mathrm{SD}}48

The study interprets these results as verification of a triplet-mediated UCEL mechanism in which hν>eVSDh\nu > eV_{\mathrm{SD}}49 acts as a shelving state and a subsequent electron event upconverts hν>eVSDh\nu > eV_{\mathrm{SD}}50 to hν>eVSDh\nu > eV_{\mathrm{SD}}51 via hν>eVSDh\nu > eV_{\mathrm{SD}}52 (Zheng et al., 10 Sep 2025).

4. Inelastic-tunneling UCEL in a molecular/2D hybrid diode

A solid-state UCEL platform is realized by embedding a hydrogen-bonded supramolecular monolayer of perylene tetracarboxylic di-imide (PTCDI) within hexagonal boron nitride tunnel barriers and contacting it with few-layer graphene, forming a vertical FLG/hBN/PTCDI/hBN/FLG heterostructure (Svatek et al., 2019). The upper hBN barrier is thin, with thickness hν>eVSDh\nu > eV_{\mathrm{SD}}53 nm, and the lower hBN barrier is hν>eVSDh\nu > eV_{\mathrm{SD}}54–hν>eVSDh\nu > eV_{\mathrm{SD}}55 hBN monolayers. PTCDI forms planar monolayer islands stabilized by hydrogen bonding, with AFM lattice vectors hν>eVSDh\nu > eV_{\mathrm{SD}}56 nm and hν>eVSDh\nu > eV_{\mathrm{SD}}57 nm subtending hν>eVSDh\nu > eV_{\mathrm{SD}}58, island sizes hν>eVSDh\nu > eV_{\mathrm{SD}}59–hν>eVSDh\nu > eV_{\mathrm{SD}}60 hν>eVSDh\nu > eV_{\mathrm{SD}}61m, and hν>eVSDh\nu > eV_{\mathrm{SD}}62 surface coverage under the reported deposition conditions. Under applied hν>eVSDh\nu > eV_{\mathrm{SD}}63, electrons tunnel across the junction and excite molecular states by inelastic scattering.

The optical signatures resolve both singlet and triplet electroluminescence. The dominant visible EL peak is the hν>eVSDh\nu > eV_{\mathrm{SD}}64 hν>eVSDh\nu > eV_{\mathrm{SD}}65–hν>eVSDh\nu > eV_{\mathrm{SD}}66 transition at hν>eVSDh\nu > eV_{\mathrm{SD}}67 nm (hν>eVSDh\nu > eV_{\mathrm{SD}}68 eV), accompanied by a hν>eVSDh\nu > eV_{\mathrm{SD}}69–hν>eVSDh\nu > eV_{\mathrm{SD}}70 vibronic satellite at hν>eVSDh\nu > eV_{\mathrm{SD}}71 nm (hν>eVSDh\nu > eV_{\mathrm{SD}}72 eV). A weak additional visible peak appears at hν>eVSDh\nu > eV_{\mathrm{SD}}73 nm (hν>eVSDh\nu > eV_{\mathrm{SD}}74 eV). Direct triplet electroluminescence is observed at hν>eVSDh\nu > eV_{\mathrm{SD}}75 nm (hν>eVSDh\nu > eV_{\mathrm{SD}}76 eV), absent in PL. Using these measured EL energies, the singlet–triplet gap is hν>eVSDh\nu > eV_{\mathrm{SD}}77 eV. The visible singlet emission persists down to hν>eVSDh\nu > eV_{\mathrm{SD}}78 V at hν>eVSDh\nu > eV_{\mathrm{SD}}79 K, giving hν>eVSDh\nu > eV_{\mathrm{SD}}80 eV for the hν>eVSDh\nu > eV_{\mathrm{SD}}81 eV line, and to hν>eVSDh\nu > eV_{\mathrm{SD}}82 V at room temperature, giving hν>eVSDh\nu > eV_{\mathrm{SD}}83 eV; using the hν>eVSDh\nu > eV_{\mathrm{SD}}84 eV feature extends the inferred upconversion at room temperature to hν>eVSDh\nu > eV_{\mathrm{SD}}85 eV. The work therefore reports UCEL “up to hν>eVSDh\nu > eV_{\mathrm{SD}}86 eV” (Svatek et al., 2019).

The mechanistic picture is sequential inelastic excitation via an intermediate triplet. When the electron energy gain satisfies hν>eVSDh\nu > eV_{\mathrm{SD}}87, inelastic tunneling excites the molecule from hν>eVSDh\nu > eV_{\mathrm{SD}}88 to hν>eVSDh\nu > eV_{\mathrm{SD}}89. A subsequent tunneling electron then excites a hν>eVSDh\nu > eV_{\mathrm{SD}}90 molecule to hν>eVSDh\nu > eV_{\mathrm{SD}}91. Radiative decay yields both hν>eVSDh\nu > eV_{\mathrm{SD}}92 visible EL and direct hν>eVSDh\nu > eV_{\mathrm{SD}}93 near-IR EL. A broad peak in hν>eVSDh\nu > eV_{\mathrm{SD}}94 near hν>eVSDh\nu > eV_{\mathrm{SD}}95 V matches the triplet excitation energy scale and is used as evidence for the inelastic scattering threshold associated with hν>eVSDh\nu > eV_{\mathrm{SD}}96. The conceptual rate-equation framework is

hν>eVSDh\nu > eV_{\mathrm{SD}}97

hν>eVSDh\nu > eV_{\mathrm{SD}}98

Here hν>eVSDh\nu > eV_{\mathrm{SD}}99 is negligible under much of the UCEL range because ωeV\hbar\omega \le e|V|00, so the singlet population is fed predominantly from the triplet manifold (Svatek et al., 2019).

Several diagnostics constrain alternative interpretations. EL peak energies remain effectively bias-independent for both polarities, supporting emission from discrete molecular levels rather than band-to-band processes. A log–log plot gives ωeV\hbar\omega \le e|V|01 with ωeV\hbar\omega \le e|V|02 for positive bias and ωeV\hbar\omega \le e|V|03 for negative bias, which rules out triplet–triplet annihilation in the low-triplet-density regime, where quadratic or higher dependence would be expected. Thermal mechanisms are excluded because UCEL persists with ωeV\hbar\omega \le e|V|04, and rapid vibronic excitation of ωeV\hbar\omega \le e|V|05 is excluded because the intermediate must persist over average intervals of ωeV\hbar\omega \le e|V|06 ωeV\hbar\omega \le e|V|07s per electron per molecule at ωeV\hbar\omega \le e|V|08 pA/nmωeV\hbar\omega \le e|V|09. Plasmon-assisted emission is described as unlikely because strong local plasmons are improbable with few-layer graphene contacts and graphene plasmon energies are in the mid-IR rather than the visible. The overall photon-per-electron efficiency is ωeV\hbar\omega \le e|V|10–ωeV\hbar\omega \le e|V|11 photons per injected electron, comparable to STML experiments (Svatek et al., 2019).

5. Excitonic Auger UCEL in type-II van der Waals heterostructures

In WSeωeV\hbar\omega \le e|V|12/MoSωeV\hbar\omega \le e|V|13 type-II heterostructures, UCEL is obtained not from sequential charging of a single emitter but from carrier-carrier interactions within a dense interlayer-exciton reservoir (Binder et al., 2019). The device stack is Gr / ωeV\hbar\omega \le e|V|14–ωeV\hbar\omega \le e|V|15L hBN / ωeV\hbar\omega \le e|V|16L WSeωeV\hbar\omega \le e|V|17 / ωeV\hbar\omega \le e|V|18–ωeV\hbar\omega \le e|V|19L hBN / ωeV\hbar\omega \le e|V|20L MoSωeV\hbar\omega \le e|V|21 / ωeV\hbar\omega \le e|V|22–ωeV\hbar\omega \le e|V|23L hBN / Gr on Si/SiOωeV\hbar\omega \le e|V|24, with top and bottom graphene acting as tunnel electrodes. Under bias ωeV\hbar\omega \le e|V|25 above the interlayer threshold, holes are selectively injected into the WSeωeV\hbar\omega \le e|V|26 valence band and electrons into the MoSωeV\hbar\omega \le e|V|27 conduction band. Because the carriers are injected into different layers, direct intralayer recombination is avoided at sub-threshold biases and interlayer excitons accumulate at the interface. The conduction-band minimum resides in MoSωeV\hbar\omega \le e|V|28, the valence-band maximum in WSeωeV\hbar\omega \le e|V|29, and the reported offsets are ωeV\hbar\omega \le e|V|30–ωeV\hbar\omega \le e|V|31 eV, ωeV\hbar\omega \le e|V|32–ωeV\hbar\omega \le e|V|33 eV, with an interlayer gap ωeV\hbar\omega \le e|V|34–ωeV\hbar\omega \le e|V|35 eV.

The interlayer excitons are spatially indirect and, because of lattice mismatch and small twist, also ωeV\hbar\omega \le e|V|36-space indirect. The momentum mismatch is estimated as ωeV\hbar\omega \le e|V|37 for zero twist and ωeV\hbar\omega \le e|V|38 for ωeV\hbar\omega \le e|V|39 twist, so radiative recombination requires momentum assistance. The interlayer exciton emission energy exhibits a linear Stark blueshift with applied electric field,

ωeV\hbar\omega \le e|V|40

with slope ωeV\hbar\omega \le e|V|41–ωeV\hbar\omega \le e|V|42 meV/V and extrapolated zero-injection interlayer-exciton energy ωeV\hbar\omega \le e|V|43 eV. Introducing a monolayer hBN spacer increases the electron-hole separation, suppresses radiative recombination, and enables a much larger exciton density (Binder et al., 2019).

This density increase activates excitonic Auger upconversion. Without a spacer, electroluminescence shows interlayer-exciton EL at ωeV\hbar\omega \le e|V|44–ωeV\hbar\omega \le e|V|45 eV appearing first at ωeV\hbar\omega \le e|V|46 V, then WSeωeV\hbar\omega \le e|V|47 intralayer EL at ωeV\hbar\omega \le e|V|48 eV near ωeV\hbar\omega \le e|V|49 V, and MoSωeV\hbar\omega \le e|V|50 intralayer EL at ωeV\hbar\omega \le e|V|51 eV near ωeV\hbar\omega \le e|V|52 V. With a monolayer hBN spacer, intralayer EL from both WSeωeV\hbar\omega \le e|V|53 (ωeV\hbar\omega \le e|V|54 eV) and MoSωeV\hbar\omega \le e|V|55 (ωeV\hbar\omega \le e|V|56 eV) appears already at ωeV\hbar\omega \le e|V|57 V, well below the monolayer excitonic thresholds and corresponding to an upconversion of ωeV\hbar\omega \le e|V|58 eV relative to the interlayer-exciton EL. The onset voltages for WSeωeV\hbar\omega \le e|V|59 and MoSωeV\hbar\omega \le e|V|60 UCEL are similar, and UCEL dominates over interlayer-exciton EL in spacer devices (Binder et al., 2019).

The proposed process is an excitonic Auger collision between two interlayer excitons. One exciton annihilates nonradiatively and transfers its energy and momentum to the other, promoting it into the excitonic continuum with near-delocalized character. From this continuum, relaxation can return to the interlayer-exciton ground state, or proceed into MoSωeV\hbar\omega \le e|V|61 intralayer excitons followed by radiative recombination at ωeV\hbar\omega \le e|V|62 eV, or into WSeωeV\hbar\omega \le e|V|63 intralayer excitons followed by radiative recombination at ωeV\hbar\omega \le e|V|64 eV. Because the continuum contains many excited excitonic states in both layers, the two intralayer channels occur with comparable probability, explaining the nearly equal onset and intensity of WSeωeV\hbar\omega \le e|V|65 and MoSωeV\hbar\omega \le e|V|66 upconverted EL. Independent density estimates give ωeV\hbar\omega \le e|V|67 cmωeV\hbar\omega \le e|V|68 for a spacer device and ωeV\hbar\omega \le e|V|69 cmωeV\hbar\omega \le e|V|70 for a device without spacer. The mean interlayer-exciton spacing

ωeV\hbar\omega \le e|V|71

is ωeV\hbar\omega \le e|V|72 nm in the spacer device and ωeV\hbar\omega \le e|V|73 nm without spacer; with ωeV\hbar\omega \le e|V|74 nm, this gives ωeV\hbar\omega \le e|V|75 versus ωeV\hbar\omega \le e|V|76, matching the emergence of many-body Auger processes only in spacer devices (Binder et al., 2019).

The evidence is explicitly framed against alternative explanations. Selective electrical injection excludes optical nonlinearities such as two-photon absorption. The equal onset and comparable intensity of WSeωeV\hbar\omega \le e|V|77 and MoSωeV\hbar\omega \le e|V|78 UCEL contradict a single-particle Auger picture, which would favor electrons over holes, and device A1 shows a superlinear near-quadratic rise of EL with current in the UCEL regime, transitioning to nearly linear behavior when direct intralayer injection dominates. Hot-carrier EL and trap-assisted recombination do not explain the equal upconversion in both layers at the same threshold or the dependence on the hBN spacer (Binder et al., 2019).

6. Comparative mechanisms, misconceptions, and design constraints

The reported UCEL platforms differ sharply in microscopic mechanism, but they can be organized by the nature of the energy-storage state or reservoir (Rai et al., 15 Aug 2025, Zheng et al., 10 Sep 2025, Svatek et al., 2019, Binder et al., 2019).

Platform Intermediate or reservoir Characteristic UCEL signature
VOPc on 3 ML NaCl/Au(111) (Rai et al., 15 Aug 2025) Dark ωeV\hbar\omega \le e|V|79 and low-lying dark cationic triplets ωeV\hbar\omega \le e|V|80 in O-down ωeV\hbar\omega \le e|V|81 emission at ωeV\hbar\omega \le e|V|82 eV appears already at ωeV\hbar\omega \le e|V|83 V
PdOEP on 3 ML NaCl/Ag (Zheng et al., 10 Sep 2025) ωeV\hbar\omega \le e|V|84 shelving state with ωeV\hbar\omega \le e|V|85 relay states ωeV\hbar\omega \le e|V|86 at ωeV\hbar\omega \le e|V|87 eV persists for ωeV\hbar\omega \le e|V|88 V
FLG/hBN/PTCDI/hBN/FLG (Svatek et al., 2019) Intermediate triplet ωeV\hbar\omega \le e|V|89 excited by inelastic tunneling Visible EL at ωeV\hbar\omega \le e|V|90 eV down to ωeV\hbar\omega \le e|V|91 V at ωeV\hbar\omega \le e|V|92 K
WSeωeV\hbar\omega \le e|V|93/hBN/MoSωeV\hbar\omega \le e|V|94 (Binder et al., 2019) Dense interlayer-exciton reservoir enabling excitonic Auger scattering Intralayer EL at ωeV\hbar\omega \le e|V|95 and ωeV\hbar\omega \le e|V|96 eV already at ωeV\hbar\omega \le e|V|97 V

A recurrent misconception is that overbias emission necessarily implies plasmonic assistance. The available evidence is system-specific and does not support that generalization. In VOPc, plasmonic assistance is not required to explain the band positions or bias thresholds, and there is no experimental indication that inelastic energy transfer is needed for UCEL (Rai et al., 15 Aug 2025). In the PTCDI tunnel diode, plasmon-assisted emission is described as unlikely because few-layer graphene contacts do not provide visible plasmons of the relevant scale (Svatek et al., 2019). In PdOEP, by contrast, the plasmonic nanocavity clearly reshapes radiative rates and detection efficiency through Purcell enhancement, but the microscopic UCEL pathway is still triplet-mediated and charge-exchange-driven rather than a purely plasmonic energy-source mechanism (Zheng et al., 10 Sep 2025).

A second misconception is that UCEL in organics is generically triplet–triplet annihilation. The reported systems show otherwise. The PTCDI monolayer yields nearly linear ωeV\hbar\omega \le e|V|98 versus ωeV\hbar\omega \le e|V|99, excluding TTA as the eV<ωe|V| < \hbar\omega00 step (Svatek et al., 2019). The PdOEP single-molecule case is reproduced by a one-molecule rate model with two-electron character encoded in eV<ωe|V| < \hbar\omega01 and eV<ωe|V| < \hbar\omega02, while a preliminary dimer result with nearly linear eV<ωe|V| < \hbar\omega03 is specifically interpreted as potentially involving cooperative TTA-like physics not present in the single-molecule model (Zheng et al., 10 Sep 2025). The TMD heterostructure case is instead a many-body excitonic Auger process, and the VOPc radical case is a charge-injection cascade through dark cationic triplets (Binder et al., 2019, Rai et al., 15 Aug 2025).

Taken together, these studies suggest three recurrent UCEL design conditions. First, nonradiative quenching must be sufficiently suppressed: eV<ωe|V| < \hbar\omega04 ML NaCl is crucial for VOPc and PdOEP, while hBN barriers or spacers are essential in PTCDI and WSeeV<ωe|V| < \hbar\omega05/MoSeV<ωe|V| < \hbar\omega06 devices (Rai et al., 15 Aug 2025, Zheng et al., 10 Sep 2025, Svatek et al., 2019, Binder et al., 2019). Second, the system must contain either a long-lived shelving state or a dense dark reservoir: eV<ωe|V| < \hbar\omega07 and eV<ωe|V| < \hbar\omega08 in O-down VOPc, eV<ωe|V| < \hbar\omega09 in PdOEP and PTCDI, or interlayer excitons in the TMD heterostructure. Third, the level alignment must permit sequential energy accumulation without opening faster nonradiative loss channels. This suggests that UCEL optimization is fundamentally a problem of engineering state ordering, charge-exchange rates, and radiative versus nonradiative competition.

The reported limitations are equally consistent across platforms. Low temperatures are central in the STML and TMD demonstrations, although PTCDI UCEL persists at room temperature (Rai et al., 15 Aug 2025, Zheng et al., 10 Sep 2025, Binder et al., 2019, Svatek et al., 2019). Device performance remains sensitive to interface quality, voltage drop across the active region, twist angle in TMD stacks, and the exact balance between state lifetime and tunneling rate. In radicals, adsorption geometry can switch UCEL on and off through substrate screening of the unpaired spin, and the work on VOPc explicitly proposes that this mechanism should generalize to other neutral radicals with a separated unpaired spin center and a decoupled chromophore (Rai et al., 15 Aug 2025). In heavy-metal porphyrins, the visible placement of both eV<ωe|V| < \hbar\omega10 and eV<ωe|V| < \hbar\omega11 lines enables quantitative validation of triplet-mediated UCEL. In molecular/2D diodes and TMD stacks, scalable vertical architectures provide electrical access to triplet or excitonic reservoirs without requiring the single-tip geometry of STML (Zheng et al., 10 Sep 2025, Svatek et al., 2019, Binder et al., 2019).

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