Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals

Abstract

We study the anomalous Nernst and thermal Hall effects in a linearized low-energy model of a tilted Weyl semimetal, with two Weyl nodes separated in momentum space. For inversion symmetric tilt, we give analytic expressions in two opposite limits: for a small tilt, corresponding to a type-I Weyl semimetal, the Nernst conductivity is finite and independent of the Fermi level, while for a large tilt, corresponding to a type-II Weyl semimetal, it acquires a contribution depending logarithmically on the Fermi energy. This result is in a sharp contrast to the nontilted case, where the Nernst response is known to be zero in the linear model. The thermal Hall conductivity similarly acquires Fermi surface contributions, which add to the Fermi level independent, zero tilt result, and is suppressed as one over the tilt parameter at half filling in the Type-II phase. In the case of inversion breaking tilt, with the tilting vector of equal modulus in the two Weyl cones, all Fermi surface contributions to both anomalous responses cancel out, resulting in zero Nernst conductivity. We discuss two possible experimental setups, representing open and closed thermoelectric circuits.

References in corpus (16)

• The Chiral Magnetic Effect
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Topological response in Weyl semimetals and the chiral anomaly
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
• The extremely large magnetoresistance in the Candidate Type-II Weyl semimetal MoTe2
• Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe${}_{1.98}$ crystals at the quasi-classical regime
• Low-energy effective theory in the bulk for transport in a topological phase
• Observation of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal
• Signature of the chiral anomaly in a Dirac semimetal: a current plume steered by a magnetic field
• Thermopower and thermal conductivity in the Weyl semimetal NbP
• Role of axion electrodynamics in Weyl metal: Violation of Wiedemann-Franz law
• Weyl fermions induced Magnon electrodynamics in Weyl semimetal

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