Chiral Separation effect in non-homogeneous systems
arXiv:2007.07178 · doi:10.1103/PhysRevD.102.076019
Abstract
We discuss chiral separation effect in the systems with spatial non - homogeneity. It may be caused by non - uniform electric potential or by another reasons, which do not, however, break chiral symmetry of an effective low energy theory. Such low energy effective theory describes quasiparticles close to the Fermi surfaces. In the presence of constant external magnetic field the non - dissipative axial current appears. It appears that its response to chemical potential and magnetic field (the CSE conductivity) is universal. It is robust to smooth modifications of the system and is expressed through an integral over a surface in momentum space that surrounds all singularities of the Green function. In itself this expression represents an extension of the topological invariant protecting Fermi points to the case of inhomogeneous systems.
arXiv commentLatex, 31 pages, 1 Figure
References in corpus (45)
- The Chiral Magnetic Effect
- Color superconductivity in dense quark matter
- Observation of the chiral magnetic effect in ZrTe5
- The phase diagram of dense QCD
- Topological response in Weyl semimetals and the chiral anomaly
- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- The Chiral Magnetic Effect and Anomaly-Induced Transport
- Electromagnetic Response of Weyl Semimetals
- The Quark-Gluon Plasma in Equilibrium
- "Strongly interacting matter in magnetic fields": an overview
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Chiral Magnetic conductivity
- Is graphene in vacuum an insulator?
- Chiral gauge field and axial anomaly in a Weyl semi-metal
- Rotating quark-gluon plasma in relativistic heavy ion collisions
- Hadron properties in the nuclear medium
- Vorticity in Heavy-Ion Collisions
- A study of vorticity formation in high energy nuclear collisions
- Axion response in Weyl semimetals
- Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
- A condensed matter realization of the axial magnetic effect
- Weyl fermions and the anomalous Hall effect in metallic ferromagnets
- Generalized Bloch theorem and chiral transport phenomena
- Dense matter in compact stars - A pedagogical introduction
- Physics of Thermal QCD
- Anomalous transport with overlap fermions
- Absence of equilibrium chiral magnetic effect
- Radiative corrections to chiral separation effect in QED
- Patterns of Electro-magnetic Response in Topological Semi-metals
- Chern-Simons current and local parity violation in hot QCD matter
- QCD as a topologically ordered system
- Wigner transformation, momentum space topology, and anomalous transport
- Chiral Separation Effect in lattice regularization
- Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
- Chiral separation and chiral magnetic effects in a slab: The role of boundaries
- Comment on "Weyl fermions and the anomalous Hall effect in metallic ferromagnets"
- Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal
- Hall conductivity as the topological invariant in phase space in the presence of interactions and non-uniform magnetic field
- Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field
- A Note on Bloch theorem
- Precise Wigner-Weyl calculus for lattice models
- Feynman Rules in terms of the Wigner transformed Green functions
Cited by in corpus (7)
- He Universe 2020
- Effect of interactions on the topological expression for the chiral separation effect
- Equilibrium Chiral Magnetic Effect: spatial inhomogeneity, finite temperature, interactions
- Wigner-Weyl calculus in Keldysh technique
- Non-perturbative Suppression of Chiral Vortical Effect in Hot (s)QGP for Hyperons Spin Polarization in Heavy Ion Collisions
- Classification of emergent Weyl spinors in multi-fermion systems
- Chiral anomaly in inhomogeneous systems with nontrivial momentum space topology