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A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor

Published 31 Mar 2021 in cond-mat.supr-con and cond-mat.str-el | (2103.16825v1)

Abstract: In order to understand the origin of superconductivity, it is crucial to ascertain the nature and origin of the primary carriers available to participate in pairing. Recent quantum oscillation experiments on high Tc cuprate superconductors have revealed the existence of a Fermi surface akin to normal metals, comprising fermionic carriers that undergo orbital quantization. However, the unexpectedly small size of the observed carrier pocket leaves open a variety of possibilities as to the existence or form of any underlying magnetic order, and its relation to d-wave superconductivity. Here we present quantum oscillations in the magnetisation (the de Haas-van Alphen or dHvA effect) observed in superconducting YBa2Cu3O6.51 that reveal more than one carrier pocket. In particular, we find evidence for the existence of a much larger pocket of heavier mass carriers playing a thermodynamically dominant role in this hole-doped superconductor. Importantly, characteristics of the multiple pockets within this more complete Fermi surface impose constraints on the wavevector of any underlying order and the location of the carriers in momentum space. These constraints enable us to construct a possible density-wave scenario with spiral or related modulated magnetic order, consistent with experimental observations.

Citations (172)

Summary

Multi-Component Fermi Surface in the Vortex State of Underdoped High-Tc Superconductors

In this study, the researchers investigate the electronic structure of underdoped high-Tc superconductors, specifically YBa2Cu3O6.51, by conducting quantum oscillation experiments that reveal a complex Fermi surface structure. The findings of this work are particularly relevant in understanding the fundamental physics behind superconductivity, as they provide evidence for multiple carrier pockets in the Fermi surface, elucidating the nature of the primary carriers involved in superconductivity.

The experiments are focused on the de Haas-van Alphen (dHvA) effect, observing quantum oscillations in the magnetization of the YBa2Cu3O6.51 sample. Notably, these oscillations reveal a secondary oscillatory component with a frequency (Fβ = 1654 ± 40 T) significantly different from the dominant component (Fα = 502 ± 20 T). Although the amplitude of the β pocket is notably weaker—almost 30 times smaller than the α pocket—its thermodynamic significance is emphasized due to its greater effective mass (mβ = 3.8 ± 0.4 me), which is approximately twice that of the α pocket.

The existence of these multiple pockets contributes to an understanding of the Fermi surface in this quasi-two-dimensional (Q2D) superconductor. The β-pocket is found to contain approximately 3.29 times as many carriers as the α-pocket, with implications for the effective carrier density and suggesting the presence of complex magnetic order. The carrier densities observed closely match the nominal hole doping value (pnom ≈ 0.1), indicating that the α-pocket is likely an electron pocket and the β-pocket a hole pocket.

A key implication of this research is the discussion of potential Fermi surface reconstructions. The experimental findings impose constraints on the underlying ordering wavevector Q, suggesting scenarios beyond simple commensurable orderings. The capacious β pocket is only compatible with reconstruction scenarios featuring incommensurate order or complex helical/spiral modulations, supported by inelastic neutron scattering measurements. This necessitates consideration of potential helical or spiral density-wave scenarios, where the pocket sizes align with the experimental data without contradicting the effective carrier density.

Furthermore, the presence of a bilayer potential is suggested as a refining factor for the Fermi surface picture. The potential could alter the degeneracy of the observed pockets, resulting in dual frequencies for these electron and hole pockets. This complexity would imply significant re-evaluation of the superconducting pairing mechanisms in light of the observed asymmetry and mass renormalization of the β pocket.

The implications of these findings on the theoretical understanding of superconductivity are significant. The Fermi surface reconstruction indicated by these multi-component pockets may arise in regions where superconductivity is locally suppressed, such as vortex cores, leading to considerations of magnetic order competing with superconductivity.

Speculative future investigations could explore the stabilization of Fermi surface features in layered metals under strong external magnetic fields, potentially further elucidating the interplay of magnetic order parameters in these states. Additionally, the nuanced understanding of cyclotron mass renormalization will require integration into existing models of high-Tc superconductivity to refine predictions regarding carrier behavior and pairing mechanisms in similar Q2D materials.

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