Berry’s phase for energy bands in solids
- 5 June 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (23), 2747-2750
- https://doi.org/10.1103/physrevlett.62.2747
Abstract
Berry’s phase is defined for the dynamics of electrons in periodic solids and an explicit formula is derived for it. Because of the special torus topology of the Brillouin zone a nonzero Berry phase is shown to exist in a one-dimensional parameter space. Symmetry of the Bloch functions in the Brillouin zone leads to the quantization of Berry’s phase. A connection is established between the latter and the Wyckoff positions in the crystal in the framework of band representations of space groups. Berry’s phase can therefore be used for labeling energy bands in solids.Keywords
This publication has 22 references indexed in Scilit:
- Geometric angles in cyclic evolutions of a classical systemPhysical Review A, 1988
- Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical ExperimentPhysical Review Letters, 1988
- Observation of a topological phase by means of a nonplanar Mach-Zehnder interferometerPhysical Review Letters, 1988
- Berry’s phase, locally inertial frames, and classical analoguesPhysical Review D, 1988
- Berry's Topological Phase in Quantum Mechanics and Quantum Field TheoryPhysica Scripta, 1988
- Manifestation of Berry’s topological phase in neutron spin rotationPhysical Review Letters, 1987
- Adiabatic Rotational Splittings and Berry's Phase in Nuclear Quadrupole ResonancePhysical Review Letters, 1987
- Berry’s geometrical phase and the sequence of states in the Jahn-Teller effectPhysical Review Letters, 1987
- Observation of Berry's Topological Phase by Use of an Optical FiberPhysical Review Letters, 1986
- Fractional Quantization of Molecular Pseudorotation inPhysical Review Letters, 1986