Abstract

Materials with charged chiral quasiparticles in external parallel electric and magnetic fields can support an electric current that grows linearly in time, corresponding to diverging DC conductivity. From experimental viewpoint, this "Chiral Magnetic Superconductivity" (CMS) is thus analogous to conventional superconductivity. However the underlying physics is entirely different -- the CMS does not require a condensate of Cooper pairs breaking the gauge degeneracy, and is thus not accompanied by Meissner effect. Instead, it owes its existence to the (temperature-independent) quantum chiral anomaly and the conservation of chirality. As a result, this phenomenon can be expected to survive to much higher temperatures. Even though the chirality of quasiparticles is not strictly conserved in real materials, the chiral magnetic superconductivity should still exhibit itself in AC measurements at frequencies larger than the chirality-flipping rate, and in microstructures of Dirac and Weyl semimetals with thickness below the mean chirality-flipping length that is about 1-100 $\mu$m. In nuclear physics, the CMS should contribute to the charge-dependent elliptic flow in heavy ion collisions.

Highlights

  • The chiral magnetic effect (CME) is the generation of electric current induced by an external magnetic field in the presence of imbalance between the left- and right-handed chiral fermions

  • The CME and related phenomena are the subject of vigorous ongoing research in particle, nuclear, and condensed matter physics, and I will not attempt to cover it here – reviews can be found in Refs. [1,2,3]

  • I would like to address the relation between the CME and conventional superconductivity (SC)

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Summary

Introduction

The chiral magnetic effect (CME) is the generation of electric current induced by an external magnetic field in the presence of imbalance between the left- and right-handed chiral fermions. The CME and related phenomena are the subject of vigorous ongoing research in particle, nuclear, and condensed matter physics, and I will not attempt to cover it here – reviews can be found in Refs. I would like to address the relation between the CME and conventional superconductivity (SC). Both are non-dissipative transport phenomena, but as we will see the underlying physics is drastically different. The CME and SC do share some common properties, and accentuating the similarities and the differences between these macroscopic quantum phenomena may be useful for focusing the future research in this area

London theory of superconductivity
Chiral magnetic effect as a new type of superconductivity
Chiral magnetic conductivity in microstructures
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