Anomalous transport phenomena and momentum space topology
arXiv:1811.07778 · doi:10.1051/epjconf/201819105007
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.
arXiv commentLatex, 8 pages, proceedings of the XXth International Seminar "Quarks-2018" (27 May 2018 - 2 June 2018, Valday, Russia)
References in corpus (35)
- Topological Field Theory of Time-Reversal Invariant Insulators
- The Chiral Magnetic Effect
- Observation of the chiral magnetic effect in ZrTe5
- 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
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Chiral Magnetic conductivity
- Chiral gauge field and axial anomaly in a Weyl semi-metal
- Rotating quark-gluon plasma in relativistic heavy ion collisions
- 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
- Anomalous Transport from Kubo Formulae
- Anomalous transport with overlap fermions
- Absence of equilibrium chiral magnetic effect
- Patterns of Electro-magnetic Response in Topological Semi-metals
- Chern-Simons current and local parity violation in hot QCD matter
- 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
- Probing the chiral anomaly with nonlocal transport in three dimensional topological semimetals
- Standard Model as the topological material
- Chiral Magnetic Effect in finite-size samples of parity-breaking Weyl semimetals