Proposed Model of the Giant Thermal Hall Effect in Two-Dimensional Superconductors: An Extension to the Superconducting Fluctuations Regime

Abstract

We extend the thermodynamic approach for the description of the thermal Hall effect in the vicinity of a superconducting phase transition, in the fluctuation dominated regime. We show that the Hall heat conductivity is proportional to the product of temperature derivatives of the chemical potential and of the magnetization of the system. We argue that the latter derivative shows the strong singularity in the vicinity of the phase transition, while the former does not contain the characteristic for fermionic systems smallness (T /EF ), what additionally increases the effect. We derive the analytical formula predicting the temperature dependence of the thermal Hall conductivity in the vicinity of the critical temperature for different magnetic fields. Moreover, we study the phenomenon in the regime of quantum fluctuations, in the vicinity of the second critical field and at very low temperatures. We demonstrate how it fades away in a full agreement with the third law of thermodynamics. The developed approach qualitatively explains the recently observed giant thermal Hall effect in cuprates [1].

5 pages, 2 figures

References in corpus (8)

• Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
• Phonon thermal Hall effect in strontium titanate
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Enhanced thermal Hall effect in nearly ferroelectric insulators
• Pseudogap phenomena in ultracold atomic Fermi gases
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Thermal Hall-Senftleben Effect
• Impurity-Induced Anomalous Thermal Hall Effect in Chiral Superconductors

Cited by in corpus (1)

• Unified approach to electrical and thermal transport in high-$T_c$ superconductors