Fetching the paper…
Reading the bibliography…
A simple spin-$1/2$ frustrated antiferromagnetic Heisenberg model (AFHM) on the square lattice - including chiral plaquette cyclic terms - was argued [Anne E.B.
P.W. Anderson, “Resonating valence bonds: A new kind of insulator?” Materials Research Bulletin 8
1973
Earlier work this paper cites.
H. L. Stormer and D. C. Tsui, “The quantized Hall effect,” Science 220
1983
Earlier work this paper cites.
R. B. Laughlin, “Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations,” Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
B. I. Halperin, “Statistics of quasiparticles and the hierarchy of fractional quantized Hall states,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
V. Kalmeyer and R. B. Laughlin, “Equivalence of the resonating-valence-bond and fractional quantum Hall states,” Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
P. Ginspary, “Applied conformal field theory,” in Fields, Strings and Critical Phenomena , edited by E. Brézin and J. Zinn-Justin, Les Houches summer school (North-Holland, 1988)
1988
Earlier work this paper cites.
Daniel S. Rokhsar and Steven A. Kivelson, “Superconductivity and the quantum hard-core dimer gas,” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
X. G. Wen, Frank Wilczek, and A. Zee, “Chiral spin states and superconductivity,” Phys. Rev. B 39
1989
Earlier work this paper cites.
X. G. Wen, “Topological orders in rigid states,” International Journal of Modern Physics B 04
1990
Earlier work this paper cites.
Gregory Moore and Nicholas Read, “Nonabelions in the fractional quantum Hall effect,” Nuclear Physics B 360
1991
Earlier work this paper cites.
Xiao-Gang Wen, “Theory of the edge states in fractional quantum hall effects,” International Journal of Modern Physics B 06
1992
Earlier work this paper cites.
Tomotoshi Nishino and Kouichi Okunishi, “Corner transfer matrix renormalization group method,” Journal of the Physical Society of Japan 65
1996
Earlier work this paper cites.
N. Read and E. Rezayi, “Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited landau level,” Phys. Rev. B 59
1999
Earlier work this paper cites.
Tomotoshi Nishino, Yasuhiro Hieida, Kouichi Okunishi, Nobuya Maeshima, Yasuhiro Akutsu, and Andrej Gendiar, “Two-dimensional tensor product variational formulation,” Progress of Theoretical Physics 105
2001
Earlier work this paper cites.
A.Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303
2003
Earlier work this paper cites.
Darrell F. Schroeter, Eliot Kapit, Ronny Thomale, and Martin Greiter, “Spin hamiltonian for which the chiral spin liquid is the exact ground state,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
William H. Press, Saul A. Teukolsky, William P. Vetterling, and Brian P. Flannery, Numerical Recipes (Cambridge University Press, 2007)
2007
Earlier work this paper cites.
Hui Li and F. D. M. Haldane, “Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-abelian fractional quantum hall effect states,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Michael Levin and Ady Stern, “Fractional topological insulators,” Phys. Rev. Lett. 103
2009
Cited alongside, same era.
Ronny Thomale, Eliot Kapit, Darrell F. Schroeter, and Martin Greiter, “Parent hamiltonian for the chiral spin liquid,” Phys. Rev. B 80
2009
Cited alongside, same era.
2009
Cited alongside, same era.
Román Orús and Guifré Vidal, “Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction,” Physical Review B 80
2009
Cited alongside, same era.
2014
Later among the works it cites.
Martin Greiter, Darrell F. Schroeter, and Ronny Thomale, “Parent hamiltonian for the non-abelian chiral spin liquid,” Phys. Rev. B 89
2014
Later among the works it cites.
Anne E. B. Nielsen, Germán Sierra, and J. Ignacio Cirac, “Optical-lattice implementation scheme of a bosonic topological model with fermionic atoms,” Phys. Rev. A 90
2014
Later among the works it cites.
Cécile Repellin, Titus Neupert, B. Andrei Bernevig, and Nicolas Regnault, “Projective construction of the ℤ k \mathbb{Z}_{k} Read-Rezayi fractional quantum hall states and their excitations on the torus geometry,” Phys. Rev. B 92
2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
A. Fabricio Albuquerque and Fabien Alet, “Critical correlations for short-range valence-bond wave functions on the square lattice,” Phys. Rev. B 82
2010
Cited alongside, same era.
Anne E. B. Nielsen, J. Ignacio Cirac, and Germán Sierra, “Quantum spin hamiltonians for the S U ( 2 ) k SU(2)_{k} WZW model,” Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Cited alongside, same era.
J. Ignacio Cirac, Didier Poilblanc, Norbert Schuch, and Frank Verstraete, “Entanglement spectrum and boundary theories with projected entangled-pair states,” Physical Review B 83
2011
Cited alongside, same era.
Ying Tang, Anders W. Sandvik, and Christopher L. Henley, “Properties of resonating-valence-bond spin liquids and critical dimer models,” Phys. Rev. B 84
2011
Cited alongside, same era.
Anne E. B. Nielsen, J. Ignacio Cirac, and Germán Sierra, “Laughlin spin-liquid states on lattices obtained from conformal field theory,” Phys. Rev. Lett. 108
2012
Cited alongside, same era.
Román Orús, “Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems,” Physical Review B 85
2012
Cited alongside, same era.
Didier Poilblanc, Norbert Schuch, David Pérez-García, and J. Ignacio Cirac, “Topological and entanglement properties of resonating valence bond wave functions,” Phys. Rev. B 86
2012
Cited alongside, same era.
B. Estienne, N. Regnault, and B. A. Bernevig, “Correlation lengths and topological entanglement entropies of unitary and nonunitary fractional quantum hall wave functions,” Phys. Rev. Lett. 114
2015
Later among the works it cites.
Joseph Maciejko and Gregory A. Fiete, “Fractionalized topological insulators,” Nature Physics 11
2015
Later among the works it cites.
Ivan Glasser, J Ignacio Cirac, Germán Sierra, and Anne E B Nielsen, “Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models,” New Journal of Physics 17
2015
Later among the works it cites.
J. Dubail and N. Read, “Tensor network trial states for chiral topological phases in two dimensions and a no-go theorem in any dimension,” Phys. Rev. B 92
2015
Later among the works it cites.
Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu, Norbert Schuch, and J. Ignacio Cirac, “Chiral projected entangled-pair state with topological order,” Phys. Rev. Lett. 114
2015
Later among the works it cites.
Didier Poilblanc, J. Ignacio Cirac, and Norbert Schuch, “Chiral topological spin liquids with projected entangled pair states,” Phys. Rev. B 91
2015
Later among the works it cites.
Benedikt Herwerth, Germán Sierra, Hong-Hao Tu, J. Ignacio Cirac, and Anne E. B. Nielsen, “Edge states for the Kalmeyer-Laughlin wave function,” Phys. Rev. B 92
2015
Later among the works it cites.
Didier Poilblanc, Norbert Schuch, and Ian Affleck, “ SU ( 2 ) 1 \mathrm{SU}(2{)}_{1} chiral edge modes of a critical spin liquid,” Phys. Rev. B 93
2016
Later among the works it cites.
Matthieu Mambrini, Román Orús, and Didier Poilblanc, “Systematic construction of spin liquids on the square lattice from tensor networks with SU(2)
2016
Later among the works it cites.
Philippe Corboz, “Variational optimization with infinite projected entangled-pair states,” Phys. Rev. B 94
2016
Later among the works it cites.
Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, and Frank Verstraete, “Gradient methods for variational optimization of projected entangled-pair states,” Phys. Rev. B 94
2016
Later among the works it cites.
Didier Poilblanc and Matthieu Mambrini, “Quantum critical phase with infinite projected entangled paired states,” Phys. Rev. B 96
2017
Closest in time.
Wen-Yuan Liu, Shao-Jun Dong, Yong-Jian Han, Guang-Can Guo, and Lixin He, “Gradient optimization of finite projected entangled pair states,” Phys. Rev. B 95
2017
Closest in time.