Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics

Abstract

We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obtained. The similarities and differences to previous approaches are discussed. Our results confirm the richness of the Bloch-Peierls-Berry dynamics.

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Cited by in corpus (7)

• Berry Phase Effects on Electronic Properties
• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• Negative Magnetoresistance without Chiral Anomaly in Topological Insulators
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Diffusive real-time dynamics of a particle with Berry curvatures
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
• Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality