Berry phase correction to electron density in solids and "exotic" dynamics

Abstract

Recent results on the semiclassical dynamics of an electron in a solid are explained using techniques developed for ``exotic'' Galilean dynamics. The system is indeed Hamiltonian and Liouville's theorem holds for the symplectic volume form. Suitably defined quantities satisfy hydrodynamic equations.

Affiliation of the first Author expanded. One more reference added. To appear in Mod. Phys. Lett. B. 5 pages

References in corpus (4)

• Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
• Monopole and Berry Phase in Momentum Space in Noncommutative Quantum Mechanics
• Enlarged Galilean symmetry of anyons and the Hall effect
• Exotic plasma as classical Hall Liquid

Cited by in corpus (117)

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• Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
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• Measurement of Chern numbers through center-of-mass responses
• Foundations and Applications of Quantum Kinetic Theory
• Modern semiclassical theory of magnetic transport and breakdown
• Berry phase theory of planar Hall effect in Topological Insulators
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• Nernst effect in Dirac and inversion-asymmetric Weyl semimetals
• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Berry Phase, Lorentz Covariance, and Anomalous Velocity for Dirac and Weyl Particles
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• Electromagnetic response of quantum Hall systems in dimensions five and six and beyond
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• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
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• Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach
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• Chiral Langevin theory for non-Abelian plasmas
• A Classical Version of the Non-Abelian Gauge Anomaly
• Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
• Colloquium: Quantum skyrmionics
• Exotic galilean symmetry and non-commutative mechanics
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• Second-order chiral kinetic theory: Chiral magnetic and pseudomagnetic waves
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• Classical chiral kinetic theory and anomalies in even space-time dimensions
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• Pseudomagnetic helicons
• Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
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• Dirac Quantization Condition for Monopole in Noncommutative Space-Time
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