Anomalous transport phenomena and momentum space topology
Physics Department, Ariel University, Ariel 40700, Israel
2 Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow, 117259, Russia
* Talk presented at the XXth International Seminar "Quarks-2018" (27 May 2018 - 2 June 2018, Valday, Russia).
** On leave of absence from Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow, 117259, Russia. e-mail: firstname.lastname@example.org
*** e-mail: email@example.com
Published online: 31 October 2018
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.
© The Authors, published by EDP Sciences, 2018
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