Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal

Buividovich, P. V.; Puhr, Matthias; Valgushev, S. N.

doi:10.1103/physrevb.92.205122

Cited by 30 publications

(49 citation statements)

References 59 publications

(156 reference statements)

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“…If the static chiral magnetic effect exists in real materials, there will be substantial possible applications. Discussions on the existence of the static chiral magnetic effect in Weyl semimetals have continued theoretically [36][37][38][39][40][41][42]. However, the existence of the static chiral magnetic effect would be ruled out in crystalline solids (i.e., lattice systems) as discussed in Ref.…”

Section: A Theoretical Modelmentioning

confidence: 99%

“…Here, b is the vector connecting the distinct Weyl points in momentum space, and b 0 is the difference between distinct local chemical potentials, if one is somehow established in different regions of momentum space. Such a chemical potential difference is of course absent in equilibrium; the possible existence of an equilibrium chiral magnetic effect has been considered theoretically [36][37][38][39][40][41][42], but can be ruled out in crystalline solids as discussed in Ref. [36].…”

Section: Introductionmentioning

confidence: 99%

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Quantum kinetic theory of the chiral anomaly

2017

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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 wavepacket 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 wavepacket 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. 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.

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Section: A Theoretical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum kinetic theory of the chiral anomaly

2017

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“…We can also mention that lattice calculations, performed in Ref. [13], show that the CME can get a contribution from an interfermion interaction.…”

Section: Introductionmentioning

confidence: 86%

Chiral magnetic effect in the presence of an external axial-vector field

Dvornikov

2018

Phys. Rev. D

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We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the exact solution of the Dirac equation for these fermions accounting for the external fields. First, this solution was obtained for massive particles and, then, we consider the chiral limit, which is used in the anomalous current computation. We obtain that, in this situation, the anomalous current does not contain the direct contribution of the axial-vector field. This result is compared with findings of other authors. * maxdvo@izmiran.ru

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“…The so -called non -dissipative transport effects have been widely discussed recently [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Anomalous transport phenomena and momentum space topology

Zubkov

Khaidukov

2018

EPJ Web Conf.

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Using the derivative expansion applied to the Wigner transform of the two -point Green function this is possible to derive the response of various nondissipative currents to the external gauge fields. The corresponding currents are proportional to the momentum space topological invariants. This allows to analyse systematically various anomalous transport phenomena including the anomalous quantum Hall effect and the chiral separation effect. We discuss the application of this methodology both to the solid state physics and to the high energy physics. 1 The CME may, though, survive in a certain form as a non -equilibrium kinetic phenomenon -see, for example, [28].Here the sum in the exponent is over the discrete coordinates r n . However, the operator −i∂ r acts on the function ψ(r) of continuous variable defined above.

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Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal

Cited by 30 publications

References 59 publications

Quantum kinetic theory of the chiral anomaly

Quantum kinetic theory of the chiral anomaly

Chiral magnetic effect in the presence of an external axial-vector field

Anomalous transport phenomena and momentum space topology

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