2008

Hyperbolic Supersymmetric Quantum Hall Effect

Hasebe, Kazuki

Understand

Developing a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid.

Based on $OSp(1|2)$ group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body problem where Laughlin wavefunction, hard-core pseudo-potential Hamiltonian and topological excitations are derived.
It is also shown that the fuzzy super-hyperboloid emerges in the lowest Landau level.

Built on

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Similar

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Then

See as a review and for detail references, Dimitra Karabali, V.P. Nair, “Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry”
2006
Later among the works it cites.
Stefano Bellucci, Levon Mardoyan, Armen Nersessian, “Hyperboloid, instanton, oscillator”
2006
Later among the works it cites.
Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend “Planar Super-Landau Models”
2006
Later among the works it cites.
Kazuki Hasebe, “ Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid”
2006
Later among the works it cites.
M. Daoud, A. Jellal, “Effective Wess-Zumino-Witten Action for Edge States of Quantum Hall Systems on Bergman Ball”
2007
Later among the works it cites.
M. Daoud, A. Jellal, “Quantum Hall Droplets on Disc and Effective Wess-Zumino-Witten Action for Edge States”
2007
Later among the works it cites.
Thomas Curtright, Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend, “Planar Super-Landau Models Revisited”
2007
Later among the works it cites.
E.V. Gorbar, V.P. Gusynin “Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field”
Original
2008
Closest in time.
Evgeny Ivanov, “Supersymmetrizing Landau Models”
Original
2008
Closest in time.
Andrey Beylin, Thomas L. Curtright, Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend, “Unitary Spherical Super-Landau Models”
Original
2008
Closest in time.
Kazuki Hasebe, “Unification of Laughlin and Moore-Read States in SUSY Quantum Hall Effect”
Original
2008
Closest in time.
Kazuki Hasebe, “SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry”
Original
2008
Closest in time.

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