Spin Singlet Quantum Hall Effect and nonabelian Landau-Ginzburg theory

Conference · Tue Dec 31 00:00:00 EST 1991

DOI:https://doi.org/10.1142/S0217979292000463· OSTI ID:10104892

Balatsky, A ^[1]

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1. Los Alamos National Lab., NM (United States)

In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We 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. We introduce field-theoretic model in which the electron operators are factorized in terms of charged spinless semions (holons) and neutral spin-{1/2} semions (spinons). Broken time reversal symmetry and short ranged spin correlations lead to Su(2){sub {kappa}=1} Chern-Simons term in Landau-Ginzburg action for SQHE phase. We 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 displacenmants. We argue that topological structure of Su(2){sub {kappa}=1} Chern-Simons theory unambiguously dictates semion statistics of spinons. 19 refs.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 10104892
• Report Number(s): LA-UR-91-3717; CONF-9108184-1; ON: DE92003871
• Resource Relation: Journal Volume: 06; Journal Issue: 05n06; Conference: Adriatico conference on strongly correlated electrons,Trieste (Italy),Aug 1991; Other Information: PBD: [1991]
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GINZBURG-LANDAU THEORY
HALL EFFECT
QUANTUM MECHANICS
WAVE FUNCTIONS
SU-2 GROUPS
SPIN
LAGRANGIAN FUNCTION
ELECTRON CORRELATION
665411
661100
BASIC SUPERCONDUCTIVITY STUDIES
CLASSICAL AND QUANTUM MECHANICS