Spin singlet quantum Hall effect and non-Abelian Landau-Ginzberg theory
- Los Alamos National Lab., Theoretical Div., Los Alamos, NM (US)
In this paper the authors present a theory of Singlet Quantum Hall Effect (SQHE). The authors show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-1/2 semions. The authors introduce field-theoretic model in which the electron operators are factorized in terms of charged spinless semions (holons) and neutral-1/2 semions (spinons). Broken time reversal symmetry and short ranged spin correlations lead to SU(2){sub k=1} Chern-Simons term in Landau-Ginzburg action for SQHE phase. The authors construct appropriate coherent states for SQHE phase and show the existence of SU(2) valued gauge potential. This potential appears as a result of spin rigidity of the ground state against any displacements of nodes of wave function from positions of the particles and reflects the nontrivial monodromy in the presence of these displacements. The authors argue that topological structure of SU(2){sub k=1} Chern-Simons theory unambiguously dictates semion statistics of spinons.
- OSTI ID:
- 5223254
- Journal Information:
- International Journal of Modern Physics B; (United States), Vol. 6:5; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
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GINZBURG-LANDAU THEORY
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665411* - Basic Superconductivity Studies- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)