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Phase-space dynamics of semiclassical spin- 1/2 Bloch electrons
W C Kerr1, M J Rave, L A Turski
1Olin Physical Laboratory, Wake Forest University, Winston-Salem, North Carolina 27109-7507, USA.
Physical Review Letters
|May 21, 2005
Summary
We present a novel kinetic theory for semiclassical Bloch electron dynamics, incorporating Berry curvature and quantum spin effects. This gauge-invariant formulation advances electron dynamics and has broad applications in physics.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Theoretical Physics
Background:
- Recent interest in kinetic descriptions of semiclassical Bloch electron dynamics.
- Need for a formulation that includes Berry curvature and quantum spin effects.
- Existing models lack gauge invariance and struggle with electron interactions.
Purpose of the Study:
- To propose a new, gauge-invariant kinetic formulation for semiclassical Bloch electron dynamics.
- To incorporate Berry curvature and quantum spin-1/2 degrees of freedom.
- To provide a versatile theoretical framework applicable beyond solid-state physics.
Main Methods:
- Development of a modified Lie-Poisson formulation.
- Inclusion of Berry curvature in the electron's equation of motion.
- Integration of quantum treatment for spin-1/2 degrees of freedom.
Main Results:
- A manifestly gauge-invariant theory for semiclassical Bloch electron dynamics.
- The formulation accounts for Berry curvature and quantum spin effects.
- The theory permits the inclusion of electron interactions.
Conclusions:
- The proposed formulation offers a robust kinetic description of electron dynamics.
- Its gauge invariance and inclusion of quantum effects broaden its applicability.
- The framework extends to noncommutative mechanics and quantum gravity models.
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