Manifestation of Berry's Phase in Metal Physics
- 8 March 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (10) , 2147-2150
- https://doi.org/10.1103/physrevlett.82.2147
Abstract
It is shown that in crystals the semiclassical quantization condition for energy levels of electrons in the magnetic field depends on Berry's phase. When the electron orbit links to the band-contact line of the metal (i.e., surrounds it), Berry's phase is nonzero and the quantization condition differs from that commonly used. This result is closely analogous to the Aharonov-Bohm's effect provided the band-contact line plays the role of the infinitely thin “solenoid” with the fixed “magnetic flux.” The predicted effect must manifest itself in oscillation phenomena for a number of metals.Keywords
This publication has 13 references indexed in Scilit:
- Berry’s phase for energy bands in solidsPhysical Review Letters, 1989
- Berry's Topological Phase in Quantum Mechanics and Quantum Field TheoryPhysica Scripta, 1988
- Adiabatic Rotational Splittings and Berry's Phase in Nuclear Quadrupole ResonancePhysical 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
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Magnetic Oscillations in MetalsPublished by Cambridge University Press (CUP) ,1984
- Principles of the Theory of SolidsPublished by Cambridge University Press (CUP) ,1972
- Semiclassical Theory of Magnetic Energy Levels and Magnetic Susceptibility of Bloch ElectronsPhysical Review B, 1966
- Accidental Degeneracy in the Energy Bands of CrystalsPhysical Review B, 1937