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Conformal field theory has turned out to be a powerful tool to derive two-dimensional lattice models displaying fractional quantum Hall physics.
Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations
R. B. Laughlin · 1983
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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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Statistics of quasiparticles and the hierarchy of fractional quantized Hall states
B. I. Halperin · 1984
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Periodic Laughlin-Jastrow wave functions for the fractional quantized Hall effect
F. D. M. Haldane and E. H. Rezayi · 1985
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Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling
F. D. M. Haldane · 1985
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Bosonization on higher genus Riemann surfaces
L. Alvarez-Gaume, J.-B. Bost, G. Moore, P. Nelson, and C. Vafa · 1987
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C = 1 {C}=1 conformal field theories on Riemann surfaces
R. Dijkgraaf, E. Verlinde, and H. Verlinde · 1988
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Composite-fermion approach for the fractional quantum Hall effect
J. K. Jain · 1989
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Nonabelions in the fractional quantum Hall effect
G. Moore and N. Read · 1991
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Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics
N. Read and E. Rezayi · 1996
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Conformal Field Theory
P. Di Francesco, P. Mathieu, and D. Sénéchal · 1997
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Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms
D. Jaksch and P. Zoller · 2003
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Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
E. J. Mueller · 2004
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Fractional quantum Hall states of atoms in optical lattices
A. S. Sørensen, E. Demler, and M. D. Lukin · 2005
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High-field fractional quantum Hall effect in optical lattices
R. N. Palmer and D. Jaksch · 2006
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Topological entanglement entropy
A. Kitaev and J. Preskill · 2006
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Detecting topological order in a ground state wave function
M. Levin and X.-G. Wen · 2006
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Explicit monodromy of Moore–Read wavefunctions on a torus
S. B. Chung and M. Stone · 2007
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Spin Hamiltonian for which the chiral spin liquid is the exact ground state
D. F. Schroeter, E. Kapit, R. Thomale, and M. Greiter · 2007
Cited alongside, same era.
Quantum Hall wave functions on the torus
M. Hermanns, J. Suorsa, E. J. Bergholtz, T. H. Hansson, and A. Karlhede · 2008
Cited alongside, same era.
Characterization of topological states on a lattice with Chern number
M. Hafezi, A. S. Sørensen, M. D. Lukin, and E. Demler · 2008
Cited alongside, same era.
Parent Hamiltonian for the chiral spin liquid
R. Thomale, E. Kapit, D. F. Schroeter, and M. Greiter · 2009
Cited alongside, same era.
Emerging bosons with three-body interactions from spin-1 atoms in optical lattices
L. Mazza, M. Rizzi, M. Lewenstein, and J. I. Cirac · 2010
Cited alongside, same era.
Exact parent Hamiltonian for the quantum Hall states in a lattice
E. Kapit and E. Mueller · 2010
Realizing fractional Chern insulators in dipolar spin systems
N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. Läuchli, J. Ye, and M. D. Lukin · 2013
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Local models of fractional quantum Hall states in lattices and physical implementation
A. E. B. Nielsen, G. Sierra, and J. I. Cirac · 2013
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Projected BCS states and spin Hamiltonians for the SO( n n ) 1 Wess-Zumino-Witten model
H.-H. Tu · 2013
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Characterizing topological order by studying the ground states on an infinite cylinder
L. Cincio and G. Vidal · 2013
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Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
M. P. Zaletel, R. S. K. Mong, and F. Pollmann · 2013
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Momentum polarization: An entanglement measure of topological spin and chiral central charge
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Cited alongside, same era.
Infinite matrix product states, conformal field theory, and the Haldane-Shastry model
J. I. Cirac and G. Sierra · 2010
Cited alongside, same era.
Fractional quantum Hall states at zero magnetic field
T. Neupert, L. Santos, C. Chamon, and C. Mudry · 2011
Cited alongside, same era.
Fractional quantum Hall effect in the absence of Landau levels
D. N. Sheng, Z.-C. Gu, K. Sun, and L. Sheng · 2011
Cited alongside, same era.
Fractional quantum Hall effect of hard-core bosons in topological flat bands
Y.-F. Wang, Z.-C. Gu, C.-D. Gong, and D. N. Sheng · 2011
Cited alongside, same era.
Fractional Chern insulator
N. Regnault and B. A. Bernevig · 2011
Cited alongside, same era.
Quantum spin Hamiltonians for the SU(2) k
A. E. B. Nielsen, J. I. Cirac, and G. Sierra · 2011
Cited alongside, same era.
H.-H. Tu, Y. Zhang, and X.-L. Qi · 2013
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Parent Hamiltonian for the non-Abelian chiral spin liquid
M. Greiter, D. F. Schroeter, and R. Thomale · 2014
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Lattice Laughlin states of bosons and fermions at filling fractions 1/q
H.-H. Tu, A. E. B. Nielsen, J. I. Cirac, and G. Sierra · 2014
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Quantum spin models for the SU(n) 1 Wess-Zumino-Witten model
H.-H. Tu, A. E. B. Nielsen, and G. Sierra · 2014
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Infinite matrix product states for long-range SU(N) spin models
R. Bondesan and T. Quella · 2014
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Bosonic fractional quantum Hall states on the torus from conformal field theory
A. E. B. Nielsen and G. Sierra · 2014
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Topological transitions from multipartite entanglement with tensor networks: A procedure for sharper and faster characterization
R. Orús, T.-C. Wei, O. Buerschaper, and A. García-Saez · 2014
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Conformal field theory on the plane
S. Ribault · 2014
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Interacting bosons in topological optical flux lattices
A. Sterdyniak, B. A. Bernevig, N. R. Cooper, and N. Regnault · 2015
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Anyon braiding in semianalytical fractional quantum Hall lattice models
A. E. B. Nielsen · 2015
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Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
I. Glasser, J. I. Cirac, G. Sierra, and A. E. B. Nielsen · 2015
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Continuum limit of lattice models with Laughlin-like ground states containing quasiholes
I. D. Rodriguez and A. E. B. Nielsen · 2015
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