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A condensed matter realization of the axial magnetic effect

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arxiv 1311.0878 v2 pith:JFK6LIER submitted 2013-11-04 hep-th cond-mat.mes-hall

classification hep-thcond-mat.mes-hall
keywords axialmagneticeffectanomalycondensedfieldgravitationalmatter
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The axial magnetic effect, i.e., the generation of an energy current parallel to an axial magnetic field coupling with opposite signs to left- and right-handed fermions is a non-dissipative transport phenomenon intimately related to the gravitational contribution to the axial anomaly. An axial magnetic field emerges naturally in condensed matter in the so called Weyl semi-metals. We present a measurable implementation of the axial magnetic effect. We show that the edge states of a Weyl semimetal at finite temperature possess a temperature dependent angular momentum in the direction of the vector potential intrinsic to the system. Such a realization provides a plausible context for the experimental confirmation of the elusive gravitational anomaly.

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    Squaring the chiral-anomaly three-current correlator, in its five-dimensional flat-space limit, reproduces the conformal-anomaly contribution to the stress-tensor three-point function.

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