Triangle anomaly in Weyl semi-metals
arXiv:1305.6338 · doi:10.1103/PhysRevB.89.035142
Abstract
Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel phenomena caused by the triangle anomalies in this material: 1) anomaly cooling; 2) charge transport by soliton waves as described by the Burgers' equation, and 3) the shift of the BKT phase transition of superfluid vortices coupled to Weyl fermions. In addition, we establish the conditions under which the chiral magnetic current exists in real materials.
v3. Improved figures, minor changes in the text, 24 pages, 3 figures
References in corpus (18)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- The Chiral Magnetic Effect
- Topological response in Weyl semimetals and the chiral anomaly
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Charge separation induced by P-odd bubbles in QCD matter
- Gravitational Anomaly and Transport
- Chiral Magnetic Wave
- Quantum Anomalies in Dense Matter
- Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
- Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Relativistic Hydrodynamics with General Anomalous Charges
- Axion response in Weyl semimetals
- Notes on chiral hydrodynamics within effective theory approach
- Holographic Anomalous Conductivities and the Chiral Magnetic Effect
- Chiral vortaic effect and neutron asymmetries at NICA
- A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
- A Classical Version of the Non-Abelian Gauge Anomaly
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- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
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- Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
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- Universality of plasmon excitations in Dirac semimetals
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- Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
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- Surface plasmon polaritons in thin-film Weyl semimetals
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- Emergent Chern-Simons Interactions in 3+1 Dimensions
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- A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
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- Topological magnetoelectric pump in three dimensions
- On the origin of mixed inhomogeneous phase in vortical gluon plasma
- Weyl systems: anomalous transport normally explained
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- Anomalous transport and massive gravity theories
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- Scaling of the chiral magnetic effect in quantum diffusive Weyl semimetals
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