Quantum kinetic theory of the chiral anomaly

Sekine, Akihiko; Culcer, Dimitrie; MacDonald, Allan H.

doi:10.1103/physrevb.96.235134

Quantum kinetic theory of the chiral anomaly

Journal Article · Thu Dec 21 00:00:00 EST 2017 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.96.235134· OSTI ID:1511842

Sekine, Akihiko ^[1]; Culcer, Dimitrie ^[2]; MacDonald, Allan H. ^[3]

The Univ. of Texas at Austin, Austin, TX (United States); University of Texas at Austin
The Univ. of New South Wales, Sydney (Australia)
The Univ. of Texas at Austin, Austin, TX (United States)

We present a general quantum kinetic theory of low-field magnetotransport in weakly disordered crystals that accounts fully for the interplay between electric-field-induced interband coherence, Bloch-state scattering, and an external magnetic field. The quantum kinetic equation we derive for the Bloch-state density matrix naturally incorporates the momentum-space Berry phase effects whose influence on Bloch-state wave-packet dynamics is normally incorporated into transport theory in an ad hoc manner. The Berry phase correction to the momentum-space density of states in the presence of an external magnetic field implied by semiclassical wave-packet dynamics is captured by our theory as an intrinsic density-matrix response to a magnetic field. We propose a simple and general procedure for expanding the linear response of the Bloch-state density matrix to an electric field in powers of magnetic field. As an illustration, we apply our theory to magnetotransport in Weyl semimetals. Furthermore we show that the chiral anomaly (positive magnetoconductivity quadratic in magnetic field) that appears when separate Fermi surface pockets surround distinct Weyl points survives only when intervalley scattering is very weak compared to intravalley scattering.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas at Austin, Austin, TX (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: FG02-02ER45958; FG03-02ER45958

OSTI ID:: 1511842

Alternate ID(s):: OSTI ID: 1414504

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 23 Vol. 96; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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