Chern-Simons effective action for non-relativistic planar electrons
Journal Article
·
· International Journal of Modern Physics A; (United States)
- Dipartimento di Fisica e Sezione INFN, Universita di Perugia, 06100 Perugia (Italy)
- Instituto Nazionale di Fisica Nucleare, Sezione di Torino and Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi, 10129 Torino (Italy)
The authors investigate the low energy second quantized theory of non-relativistic planar electrons in external magnetic fields. The authors show that a U(1) Chern-Simons term appears in the effective action, for both the continuum and the lattice theories, as a result of a non-trivial phase holonomy. The authors also show, using the Jordan-Wigner transformation for planar systems, that the quantum frustrated XY model is described by an electron hopping model coupled to a U(1) Chern-Simons gauge field.
- OSTI ID:
- 6965598
- Journal Information:
- International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:21; ISSN IMPAEF; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
665000* -- Physics of Condensed Matter-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LEPTONS
LIE GROUPS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PARTICLE PROPERTIES
QUANTIZATION
QUANTUM FIELD THEORY
SPIN
SYMMETRY GROUPS
TRANSFORMATIONS
U GROUPS
U-1 GROUPS
665000* -- Physics of Condensed Matter-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LEPTONS
LIE GROUPS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PARTICLE PROPERTIES
QUANTIZATION
QUANTUM FIELD THEORY
SPIN
SYMMETRY GROUPS
TRANSFORMATIONS
U GROUPS
U-1 GROUPS