Quantum Hall liquid on a noncommutative superplane

Journal Article · Tue Nov 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.105017· OSTI ID:20711596

Hasebe, Kazuki ^[1]

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1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

Supersymmetric quantum Hall liquids are constructed on a noncommutative superplane. We explore a supersymmetric formalism of the Landau problem. In the lowest Landau level, there appear spinless bosonic states and spin-1/2 down fermionic states, which exhibit a superchiral property. It is shown that the Laughlin wave function and topological excitations have their superpartners. Similarities between supersymmetric quantum Hall systems and bilayer quantum Hall systems are discussed.

• OSTI ID: 20711596
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMMUTATION RELATIONS
EXCITATION
HALL EFFECT
LIQUIDS
QUANTUM FLUIDS
SPIN
SUPERSYMMETRY
TOPOLOGY
WAVE FUNCTIONS