Hyperbolic supersymmetric quantum Hall effect

Journal Article · Mon Dec 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.125024· OSTI ID:21251173

Hasebe, Kazuki ^[1]

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1. Department of General Education, Takuma National College of Technology, Takuma-cho, Mitoyo-city, Kagawa 769-1192 (Japan)

Developing a noncompact version of the supersymmetric Hopf map, we formulate the quantum Hall effect on a superhyperboloid. Based on OSp(1|2) group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body problem where the Laughlin wave function, hard-core pseudopotential Hamiltonian, and topological excitations are derived. It is also shown that the fuzzy superhyperboloid emerges at the lowest Landau level.

• OSTI ID: 21251173
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 12; Other Information: DOI: 10.1103/PhysRevD.78.125024; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXCITATION
FUZZY LOGIC
HALL EFFECT
HAMILTONIANS
MANY-BODY PROBLEM
PARTICLES
POTENTIALS
SUPERSYMMETRY
WAVE FUNCTIONS