Abstract
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.
Highlights
The so - called non - dissipative transport effects have been widely discussed recently [1,2,3,4,5,6,7,8]
It was expected that their family includes, in particular, the chiral separation effect (CSE) [18], the chiral magnetic effect (CME) [19,20,21,22], the chiral vortical effect (CVE) [23], the anomalous quantum Hall effect (AQHE) [15, 24, 25]
We reviewed the application of momentum space topology to the analysis of anomalous transport
Summary
The so - called non - dissipative transport effects have been widely discussed recently [1,2,3,4,5,6,7,8]. In the high energy physics those effects are expected to be observed in the non - central heavy ion collisions, when the fireballs are in the presence of both magnetic field and rotation [9] Such effects have been considered for the recently discovered Dirac and Weyl semimetals [10,11,12,13,14,15,16,17]. In the framework of the naive nonregularized quantum field theory the CSE was discussed, for example, in [3] in the technique similar to the one that was used for the consideration of the CME [19] in Dirac semimetals and AQHE in Weyl semimetals [15]. The whole Standard Model of fundamental interaction has been considered as a topological material in [42]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
