Impurity-Induced Anomalous Thermal Hall Effect in Chiral Superconductors

Abstract

Chiral superconductors exhibit novel transport properties that depend on the topology of the order parameter, topology of the Fermi surface, the spectrum of bulk and edge Fermionic excitations, and the structure of the impurity potential. In the case of electronic heat transport, impurities induce an anomalous (zero-field) thermal Hall conductivity that is easily orders of magnitude larger than the quantized edge contribution. The effect originates from branch-conversion scattering of Bogoliubov quasiparticles by the chiral order parameter, induced by potential scattering. The former transfers angular momentum between the condensate and the excitations that transport heat. The anomalous thermal Hall conductivity is shown to depend to the structure of the electron-impurity potential, as well as the winding number, $\nu$, of the chiral order parameter, $\Delta (p)=|\Delta (p)|e^{i\nu {\varphi }_p}$. The results provide quantitative formulae for interpreting heat transport experiments seeking to identify broken T and P symmetries, as well as the topology of the order parameter for chiral superconductors.

arXiv comment5 pages, 5 figures. arXiv admin note: text overlap with arXiv:1911.06299

References in corpus (23)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• Chiral superconductivity from repulsive interactions in doped graphene
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• The spin quantum Hall effect in unconventional superconductors
• The thermal Hall effect of spin excitations in a Kagome magnet
• Electronic thermal conductivity and the Wiedemann-Franz law for unconventional superconductors
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Energy Magnetization and Thermal Hall Effect
• Evidence for Time-Reversal-Symmetry-Broken Superconductivity in Locally Noncentrosymmetric SrPtAs
• Models for Superfluid ${}^3$He in Aerogel
• Possible Topological Superconducting Phases of MoS${}_2$
• Chiral $d$-wave Superconductivity in SrPtAs
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Topological invariants for Standard Model: from semi-metal to topological insulator
• Anomalous Transport Phenomena in $p_x+i{p}_y$ Superconductors
• Electron bubbles and Weyl Fermions in chiral superfluid ${}^3$He-A
• Topological Superconductivity in Two Dimensions with Mixed Chirality
• Low Temperature Thermal Hall Conductivity of a Nodal Chiral Superconductor

Cited by in corpus (12)

• Chiral singlet superconductivity in the weakly correlated metal LaPt3P
• Anderson-Kitaev spin liquid
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Thermal transport of helium-3 in a strongly confining channel
• Intrinsic Anomalous Thermal Hall Effect in the Unconventional Superconductor UTe2
• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
• Spin-Nernst Effect in Time-Reversal-Invariant Topological Superconductors
• Planar and Nematic Aerogels: DLCA and Superfluid 3He
• Disorder Induced Anomalous Thermal Hall Effect in Chiral Phases of Superfluid ${}^3$He
• Anomalous Hall Effects in Chiral Superconductors
• Proposed Model of the Giant Thermal Hall Effect in Two-Dimensional Superconductors: An Extension to the Superconducting Fluctuations Regime
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor