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Using methods based on conformal field theory, we construct model wave functions on a torus with arbitrary flat metric for all chiral states in the abelian quantum Hall hierarchy.
Quantized hall conductance in a two-dimensional periodic potential
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs · 1982
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Fractional quantization of the hall effect: A hierarchy of incompressible quantum fluid states
F. D. M. Haldane · 1983
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Theory of the quantized hall conductance
B. I. Halperin · 1983
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Ground state of two-dimensional electrons in strong magnetic fields and 1 3 \frac{1}{3} quantized hall effect
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Classification of abelian quantum hall states and matrix formulation of topological fluids
X. G. Wen and A. Zee · 1992
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X.-G. Wen · 1995
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Viscosity of quantum hall fluids
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J.A. Polchinski and J.G. Polchinski · 1998
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Numerical study of charge and statistics of laughlin quasiparticles
Heidi Kjønsberg and Jan Myrheim · 1999
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D. Yoshioka · 2002
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J. K. Jain · 2007
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T. H. Hansson, C.-C. Chang, J. K. Jain, and S. Viefers · 2007
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E. J. Bergholtz, T. H. Hansson, M. Hermanns, and A. Karlhede · 2007
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Fractional quantum hall hierarchy and the second landau level
P. Bonderson and J. K. Slingerland · 2008
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Non-abelian adiabatic statistics and hall viscosity in quantum hall states and p x + i p y {p}_{x}+i{p}_{y} paired superfluids
N. Read · 2009
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Condensing non-abelian quasiparticles
M. Hermanns · 2010
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A general approach to quantum hall hierarchies
J. Suorsa, S. Viefers, and T. H. Hansson · 2011
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N. Read and E. H. Rezayi · 2011
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F. D. M. Haldane · 2011
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Experimental studies of the fractional quantum hall effect in the first excited landau level
W. Pan, J. S. Xia, H. L. Stormer, D. C. Tsui, C. Vicente, E. D. Adams, N. S. Sullivan, L. N. Pfeiffer, K. W. Baldwin, and K. W. West · 2008
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M. Hermanns, J. Suorsa, E. J. Bergholtz, T. H. Hansson, and A. Karlhede · 2008
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Quasiparticle spin from adiabatic transport in quantum hall trial wavefunctions
N. Read · 2008
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Quantum hall hierarchy wave functions: From conformal correlators to tao-thouless states
E. J. Bergholtz, T. H. Hansson, M. Hermanns, A. Karlhede, and S. Viefers · 2008
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In the Cartesian coordinates z = \mathaccentV t i l d e 07 E x + ı \mathaccentV t i l d e 07 E y z=\mathaccentV{tilde}07Ex+{\imath}\mathaccentV{tilde}07Ey , this corresponds to the vector potential \mathaccentV v e c 17 E \mathaccentV t i l d e 07 E A = \mathaccentV t i l d e 07 E y B τ 2 ( τ 2 , − τ 1 ) \mathaccentV{vec}17E{\mathaccentV{tilde}07EA}=\frac{\mathaccentV{tilde}07EyB}{\tau_{2}}(\tau_{2},-\tau_{1}) , that is perpendicular to \mathaccentV v e c 17 E τ \mathaccentV{vec}17E\tau
Cited in the paper.
Quasihole condensates in quantum hall liquids
J. Suorsa, S. Viefers, and T. H. Hansson · 2011
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Hierarchical nature of the quantum hall effects
Parsa Bonderson · 2012
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Quantum hall hierarchy in a spherical geometry
T. Kvorning · 2013
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Composite fermion states on the torus
M. Hermanns · 2013
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Coherent state wave functions on a torus with a constant magnetic field
M. Fremling · 2013
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