Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals

Abstract

The thermoelectric transport coefficients are calculated in a generic lattice model of multi-Weyl semimetals with a broken time-reversal symmetry by using the Kubo's linear response theory. The contributions connected with the Berry curvature-induced electromagnetic orbital and heat magnetizations are systematically taken into account. It is shown that the thermoelectric transport is profoundly affected by the nontrivial topology of multi-Weyl semimetals. In particular, the calculation reveals a number of thermal coefficients of the topological origin which describe the anomalous Nernst and thermal Hall effects in the absence of background magnetic fields. Similarly to the anomalous Hall effect, all anomalous thermoelectric coefficients are proportional to the integer topological charge of the Weyl nodes. The dependence of the thermoelectric coefficients on the chemical potential and temperature is also studied.

20 pages, 13 multi-panel figures; published version

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• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Thermoelectric response in nodal-point semimetals
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• Three-dimensional quantum Hall effect and magnetothermoelectric properties in Weyl semimetals
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• Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals
• Photogalvanic response in multi-Weyl semimetals
• Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
• Cubic Dirac and quadruple Weyl points in screw-symmetric materials
• Magnetovortical and thermoelectric transport in tilted Weyl metals
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• Large circular photogalvanic effect in the noncentrosymmetric magnetic Weyl semimetal CeAlSi
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• Impact of Broken Inversion Symmetry on Molecular States in multi-Weyl fermions