Chiral torsional effect

M.A.Zubkov; Z.V.Khaidukov

Chiral torsional effect

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arxiv 1812.00970 v1 pith:WBOEYDEY submitted 2018-12-03 cond-mat.mes-hall hep-ph

Z.V.Khaidukov , M.A.Zubkov This is my paper · ORCID

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keywords effectchiralaxialcurrentdiractorsiontorsionalappearance

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abstract

We propose the new nondissipative transport effect - the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion. For the non-interacting model of massless Dirac fermions the response of the axial current to torsion is derived. The chiral vortical effect appears to be the particular case of the chiral torsional effect. The proposed effect may be observed in the condensed matter systems with emergent relativistic invariance (Weyl/Dirac semimetals and the $^3$He-A superfluid).

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Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field
cond-mat.mes-hall 2019-08 conditional novelty 6.0 of 10

Interactions do not renormalize the phase-space topological expression for the Hall conductivity in a 2+1D tight-binding model with non-uniform magnetic field, to all orders of perturbation theory.

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