Berry's phase originated from the broken time-reversal symmetry: Theory and application to anyon superconductivity

Journal Article · Mon Jul 08 00:00:00 EDT 1991 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.67.251· OSTI ID:5519901

Ihm, J ^[1]

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1. Department of Physics, Seoul National University, Seoul 151-742, Korea (KR)

We prove that Berry's phase arises when the (phenomenological) Hamiltonian for the fast variable in the system violates time-reversal symmetry. Our derivation demonstrates the existence of a current-type Berry's phase based on the time-reversal-odd part of the Hamiltonian, in contrast to the usual monopole-type Berry's phase where the degeneracy of states acts as a topological singularity in the parameter space. Effects of this phase on the transverse phonon modes of solids are studied and the results are applied to the anyon model of the high-{ital T}{sub {ital c}} superconductors.

• OSTI ID: 5519901
• Journal Information: Physical Review Letters; (USA), Vol. 67:2; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HIGH-TC SUPERCONDUCTORS
PHONONS
QUANTUM MECHANICS
T INVARIANCE
BORN-OPPENHEIMER APPROXIMATION
HAMILTONIANS
SYMMETRY BREAKING
WAVE FUNCTIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
QUASI PARTICLES
SUPERCONDUCTORS
656100* - Condensed Matter Physics- Superconductivity
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics