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Berry curvature and Hall viscosities in an anisotropic Dirac semi-metal

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arxiv 1805.09827 v1 pith:RKTLP6AN submitted 2018-05-24 cond-mat.str-el cond-mat.mes-hallhep-th

Francisco Pena-Benitez , Kush Saha , Piotr Surowka This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hallhep-th
keywords diracsystemsanisotropicberrycurvaturesemi-metaltransportviscosities
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We investigate parity-odd non-dissipative transport in an anisotropic Dirac semi-metal in two spatial dimensions. The analysis is relevant for interacting electronic systems with merging Dirac points at charge neutrality. For such systems the dispersion relation is relativistic in one direction and non-relativistic in the other. We give a proposal how to calculate the Berry curvature for this system and use it to derive more than one odd viscosities, in contrast to rotationally invariant systems. We observe that in such a model the odd part of stress tensor is parameterised by two independent transport coefficients and one that is identically zero.

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  1. Torsion and anomalies in the warped limit of Lifschitz theories

    hep-th 2019-09 conditional novelty 6.0 of 10

    The z-to-0 'warped' limit of fermionic Lifshitz theories carries an anomalous anisotropic translation symmetry, a mixed boost-translation anomaly sourced by torsion, with coefficient kappa = q^3/(32*pi^2) in four dimensions.

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