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Quantify the electronic specific heat and superconducting parameters from high-temperature calorimetry

Determine the electronic specific heat of boron-doped ultrathin carbon nanotube networks embedded in ZSM-5 zeolite (CNT@ZSM-5) and, by accurately separating the phonon background at high temperatures, derive the superconducting coupling strength, pairing symmetry, superconducting gap magnitude(s), and condensation energy from specific-heat data.

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Background

Due to dominant phonon contributions at high temperatures and the composite nature of the CNT–zeolite system, the authors could not isolate the electronic specific heat. This prevents quantitative extraction of key superconducting parameters from calorimetry.

Establishing the electronic specific heat and related superconducting quantities is essential for testing compatibility with BCS expectations, assessing multigap behavior, and comparing with other high-Tc systems.

References

Given the unknow value of the electronic specific heat, which is impossible to extract at such high temperatures without knowing the phonon contribution, it is not possible to extract more detailed information, such as the coupling strength, paring symmetry, superconducting gap value or condensation energy.

— High temperature superconductivity with giant pressure effect in 3D networks of boron doped ultra-thin carbon nanotubes in the pores of ZSM-5 zeolite (2509.19255 - Wang et al., 23 Sep 2025) in Main — Specific heat section