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The simplest topologically ordered phase in 2+1D is the deconfined phase of $Z_2$ gauge theory, realized for example in the toric code.
Roy J Glauber, “Time-dependent statistics of the ising model,” Journal of mathematical physics 4
1963
Earlier work this paper cites.
Franz J Wegner, “Duality in generalized ising models and phase transitions without local order parameters,” Journal of Mathematical Physics 12
1971
Earlier work this paper cites.
Pierre-Gilles de Gennes, “Exponents for the excluded volume problem as derived by the wilson method,” Physics Letters A 38
1972
Earlier work this paper cites.
John Michael Kosterlitz and David James Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
Michael E. Fisher, “The renormalization group in the theory of critical behavior,” Rev. Mod. Phys. 46
1974
Earlier work this paper cites.
Roger Balian, JM Drouffe, and Claude Itzykson, “Gauge fields on a lattice. i. general outlook,” Physical Review D 10
1974
Earlier work this paper cites.
Kenneth G Wilson, “Confinement of quarks,” Physical review D 10
1974
Earlier work this paper cites.
Pierre C Hohenberg and Bertrand I Halperin, “Theory of dynamic critical phenomena,” Reviews of Modern Physics 49
1977
Earlier work this paper cites.
SF Edwards, “The theory of rubber elasticity,” British Polymer Journal 9
1977
Earlier work this paper cites.
Eduardo Fradkin and Stephen H Shenker, “Phase diagrams of lattice gauge theories with higgs fields,” Physical Review D 19
1979
Earlier work this paper cites.
John B Kogut, “An introduction to lattice gauge theory and spin systems,” Reviews of Modern Physics 51
1979
Earlier work this paper cites.
Pierre-Gilles De Gennes and Pierre-Gilles Gennes, Scaling concepts in polymer physics (Cornell university press, 1979)
1979
Earlier work this paper cites.
Gary A Jongeward, John D Stack, and C Jayaprakash, “Monte carlo calculations on z 2 gauge-higgs theories,” Physical Review D 21
1980
Earlier work this paper cites.
Kurt Binder, “Critical properties from monte carlo coarse graining and renormalization,” Physical Review Letters 47
1981
Earlier work this paper cites.
Jacques des Cloizeaux, “Ring polymers in solution: topological effects,” Journal de Physique Lettres 42
1981
Earlier work this paper cites.
Bernard Nienhuis, “Exact critical point and critical exponents of o (n) models in two dimensions,” Physical Review Letters 49
1982
Earlier work this paper cites.
AR Khokhlov and SK Nechaev, “Polymer chain in an array of obstacles,” Physics Letters A 112
1985
Earlier work this paper cites.
Klaus Fredenhagen and Mihail Marcu, “Confinement criterion for qcd with dynamical quarks,” Physical review letters 56
1986
Earlier work this paper cites.
Benjamin Svetitsky, “Symmetry aspects of finite-temperature confinement transitions,” Physics Reports 132
1986
Earlier work this paper cites.
Michael Rubinstein, “Dynamics of ring polymers in the presence of fixed obstacles,” Physical review letters 57
1986
Earlier work this paper cites.
ME Cates and JM Deutsch, “J phys paris,” J Phys (Paris) 47
1986
Earlier work this paper cites.
S Wansleben and DP Landau, “Dynamical critical exponent of the 3d ising model,” Journal of Applied Physics 61
1987
Earlier work this paper cites.
D A Huse and S Leibler, “Phase behaviour of an ensemble of nonintersecting random fluid films,” J. Phys. (Paris) 49
1988
Earlier work this paper cites.
ME Cates, D Roux, D Andelman, ST Milner, and SA Safran, “Random surface model for the l3-phase of dilute surfactant solutions,” EPL (Europhysics Letters) 5
1988
Earlier work this paper cites.
N Read and B Chakraborty, “Statistics of the excitations of the resonating-valence-bond state,” Physical Review B 40
1989
Earlier work this paper cites.
Steven Kivelson, “Statistics of holons in the quantum hard-core dimer gas,” Physical Review B 39
1989
Earlier work this paper cites.
Francois David, “O (n) gauge models and self-avoiding random surfaces in three dimensions,” EPL (Europhysics Letters) 9
1989
Earlier work this paper cites.
D Roux, ME Cates, U Olsson, RC Ball, F Nallet, and AM Bellocq, “Light scattering from a surfactant “sponge” phase: Evidence for a hidden symmetry,” EPL (Europhysics Letters) 11
1990
Earlier work this paper cites.
David A Huse and Stanislas Leibler, “Are sponge phases of membranes experimental gauge-higgs systems?” Physical review letters 66
1991
Earlier work this paper cites.
N Read and Subir Sachdev, “Large-n expansion for frustrated quantum antiferromagnets,” Physical review letters 66
1991
Earlier work this paper cites.
Xiao-Gang Wen, “Mean-field theory of spin-liquid states with finite energy gap and topological orders,” Physical Review B 44
1991
Earlier work this paper cites.
S Wansleben and DP Landau, “Monte carlo investigation of critical dynamics in the three-dimensional ising model,” Physical Review B 43
1991
Earlier work this paper cites.
D Roux, C Coulon, and ME Cates, “Sponge phases in surfactant solutions,” The Journal of Physical Chemistry 96
1992
Earlier work this paper cites.
Paul E Lammert, Daniel S Rokhsar, and John Toner, “Topology and nematic ordering,” Physical review letters 70
1993
Earlier work this paper cites.
Christian Münkel, Dieter W Heermann, Joan Adler, Misha Gofman, and Dietrich Stauffer, “The dynamical critical exponent of the two-, three-and five-dimensional kinetic ising model,” Physica A: Statistical Mechanics and its Applications 193
1993
Earlier work this paper cites.
Nobuyasu Ito, “Non-equilibrium critical relaxation of the three-dimensional ising model,” Physica A: Statistical Mechanics and its Applications 192
1993
Earlier work this paper cites.
Didier Roux, “Sponge phases: An example of random surfaces,” Physica A: Statistical Mechanics and its Applications 213
1995
Earlier work this paper cites.
Peter Grassberger, “Damage spreading and critical exponents for “model a” ising dynamics,” Physica A: Statistical Mechanics and its Applications 214
1995
Earlier work this paper cites.
Philippe De Forcrand, “Progress on lattice qcd algorithms,” arXiv preprint hep-lat/9509082 (1995)
1995
Earlier work this paper cites.
L Peliti, ““amphiphilic membranes”, in “fluctuating geometries in statistical mechanics and field theory”, f. david, p. ginsparg, j. zinn-justin, (eds.) les houches, session lxii, 1994 (amsterdam: Elsevier, 1996) 195-285,”
1996
Earlier work this paper cites.
John Cardy, Scaling and renormalization in statistical physics , Vol. 5 (Cambridge university press, 1996)
1996
Earlier work this paper cites.
Joseph Polchinski, String theory: Volume 1, an introduction to the bosonic string (Cambridge university press, 1998)
1998
Earlier work this paper cites.
A Jaster, J Mainville, L Schülke, and B Zheng, “Short-time critical dynamics of the three-dimensional ising model,” Journal of Physics A: Mathematical and General 32
1999
Earlier work this paper cites.
T Senthil and Matthew PA Fisher, “Z 2 gauge theory of electron fractionalization in strongly correlated systems,” Physical Review B 62
2000
Earlier work this paper cites.
Nobuyasu Ito, Koji Hukushima, Keita Ogawa, and Yukiyasu Ozeki, “Nonequilibrium relaxation of fluctuations of physical quantities,” Journal of the Physical Society of Japan 69
2000
Earlier work this paper cites.
Roderich Moessner, Shivaji L Sondhi, and Eduardo Fradkin, “Short-ranged resonating valence bond physics, quantum dimer models, and ising gauge theories,” Physical Review B 65
2001
Cited alongside, same era.
Mike Peardon, “Progress in lattice algorithms,” arXiv preprint hep-lat/0201003 (2002)
2002
Cited alongside, same era.
A Yu Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303
2003
Cited alongside, same era.
Xiao-Gang Wen, “Quantum orders in an exact soluble model,” Physical review letters 90
2003
Cited alongside, same era.
Luigi Genovese, Ferdinando Gliozzi, Antonio Rago, and Christian Torrero, “The phase diagram of the three-dimensionalz2 gauge higgs system at zero and finite temperature,” Nuclear Physics B-Proceedings Supplements 119
2003
Cited alongside, same era.
Chong Wang, Adam Nahum, and T Senthil, “Topological paramagnetism in frustrated spin-1 mott insulators,” Physical Review B 91
2015
Later among the works it cites.
Michele Caselle, Gianluca Costagliola, and N Magnoli, “Numerical determination of the operator-product-expansion coefficients in the 3d ising model from off-critical correlators,” Physical Review D 91
2015
Later among the works it cites.
D Niermann, CP Grams, P Becker, L Bohatỳ, H Schenck, and J Hemberger, “Critical slowing down near the multiferroic phase transition in mnwo 4,” Physical Review Letters 114
2015
Later among the works it cites.
David Mesterhazy, Jan H Stockemer, and Yuya Tanizaki, “From quantum to classical dynamics: The relativistic o (n) model in the framework of the real-time functional renormalization group,” Physical Review D 92
2015
Later among the works it cites.
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Todadri Senthil, Ashvin Vishwanath, Leon Balents, Subir Sachdev, and Matthew PA Fisher, “Deconfined quantum critical points,” Science 303
2004
Cited alongside, same era.
Michael Levin and Todadri Senthil, “Deconfined quantum criticality and néel order via dimer disorder,” Physical Review B 70
2004
Cited alongside, same era.
Olexei I Motrunich and Ashvin Vishwanath, “Emergent photons and transitions in the o (3) sigma model with hedgehog suppression,” Physical Review B 70
2004
Cited alongside, same era.
Michael Freedman, Chetan Nayak, Kirill Shtengel, Kevin Walker, and Zhenghan Wang, “A class of p, t-invariant topological phases of interacting electrons,” Annals of Physics 310
2004
Cited alongside, same era.
David R Nelson, Tsvi Piran, and Steven Weinberg, Statistical mechanics of membranes and surfaces (World Scientific, 2004)
2004
Cited alongside, same era.
Todadri Senthil, Leon Balents, Subir Sachdev, Ashvin Vishwanath, and Matthew P A Fisher, “Deconfined criticality critically defined,” Journal of the Physical Society of Japan 74
2005
Cited alongside, same era.
Akihiro Tanaka and Xiao Hu, “Many-body spin berry phases emerging from the π \pi -flux state: Competition between antiferromagnetism and the valence-bond-solid state,” Physical review letters 95
2005
Cited alongside, same era.
Sumiran Pujari, Fabien Alet, and Kedar Damle, “Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet,” Physical Review B 91
2015
Later among the works it cites.
Maxim V Imakaev, Konstantin M Tchourine, Sergei K Nechaev, and Leonid A Mirny, “Effects of topological constraints on globular polymers,” Soft matter 11
2015
Later among the works it cites.
Pablo Serna, Guy Bunin, and Adam Nahum, “Topological constraints in directed polymer melts,” Physical review letters 115
2015
Later among the works it cites.
Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, and Jutho Haegeman, “Excitations and the tangent space of projected entangled-pair states,” Physical Review B 92
2015
Later among the works it cites.
Jong Yeon Lee, Scott Geraedts, and Olexei I Motrunich, “Monte carlo study of phase transitions out of symmetry-enriched topological phases of bosons in two dimensions,” Physical Review B 93
2016
Later among the works it cites.
Chris Heinrich, Fiona Burnell, Lukasz Fidkowski, and Michael Levin, “Symmetry-enriched string nets: Exactly solvable models for set phases,” Physical Review B 94
2016
Later among the works it cites.
David Aasen, Roger SK Mong, and Paul Fendley, “Topological defects on the lattice: I. the ising model,” Journal of Physics A: Mathematical and Theoretical 49
2016
Later among the works it cites.
Hidemaro Suwa, Arnab Sen, and Anders W Sandvik, “Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point,” Physical Review B 94
2016
Later among the works it cites.
Marcello Dalmonte and Simone Montangero, “Lattice gauge theory simulations in the quantum information era,” Contemporary Physics 57
2016
Later among the works it cites.
Filip Kos, David Poland, David Simmons-Duffin, and Alessandro Vichi, “Precision islands in the ising and o (n) models,” Journal of High Energy Physics 2016
2016
Later among the works it cites.
Anton Kapustin and Ryan Thorngren, “Higher symmetry and gapped phases of gauge theories,” in Algebra, Geometry, and Physics in the 21st Century (Springer, 2017) pp. 177–202
2017
Later among the works it cites.
Chong Wang, Adam Nahum, Max A Metlitski, Cenke Xu, and T Senthil, “Deconfined quantum critical points: symmetries and dualities,” Physical Review X 7
2017
Later among the works it cites.
Meng Cheng, Zheng-Cheng Gu, Shenghan Jiang, and Yang Qi, “Exactly solvable models for symmetry-enriched topological phases,” Physical Review B 96
2017
Later among the works it cites.
Charlie Duclut and Bertrand Delamotte, “Frequency regulators for the nonperturbative renormalization group: A general study and the model a as a benchmark,” Physical Review E 95
2017
Later among the works it cites.
Junwei Liu, Yang Qi, Zi Yang Meng, and Liang Fu, “Self-learning monte carlo method,” Phys. Rev. B 95
2017
Later among the works it cites.
Li Huang and Lei Wang, “Accelerated monte carlo simulations with restricted boltzmann machines,” Physical Review B 95
2017
Later among the works it cites.
Fiona J Burnell, “Anyon condensation and its applications,” Annual Review of Condensed Matter Physics 9
2018
Later among the works it cites.
Snir Gazit, Fakher F Assaad, Subir Sachdev, Ashvin Vishwanath, and Chong Wang, “Confinement transition of z2 gauge theories coupled to massless fermions: Emergent quantum chromodynamics and so(5) symmetry,” Proceedings of the National Academy of Sciences 115
2018
Later among the works it cites.
Max A Metlitski and Ryan Thorngren, “Intrinsic and emergent anomalies at deconfined critical points,” Physical Review B 98
2018
Later among the works it cites.
L Ts Adzhemyan, EV Ivanova, MV Kompaniets, and S Ye Vorobyeva, “Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation,” Journal of Physics A: Mathematical and Theoretical 51
2018
Later among the works it cites.
Alan M Ferrenberg, Jiahao Xu, and David P Landau, “Pushing the limits of monte carlo simulations for the three-dimensional ising model,” Physical Review E 97
2018
Later among the works it cites.
Xiao-Gang Wen, “Emergent anomalous higher symmetries from topological order and from dynamical electromagnetic field in condensed matter systems,” Physical Review B 99
2019
Later among the works it cites.
Shenghan Jiang and Olexei Motrunich, “Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points,” Physical Review B 99
2019
Later among the works it cites.
Andreas Karch, David Tong, and Carl Turner, “A Web of 2d Dualities: 𝐙 2 {\bf Z}_{2} Gauge Fields and Arf Invariants,” SciPost Phys. 7
2019
Later among the works it cites.
2019
Later among the works it cites.
Guo-Yi Zhu and Guang-Ming Zhang, “Gapless coulomb state emerging from a self-dual topological tensor-network state,” Physical review letters 122
2019
Later among the works it cites.
Martin Hasenbusch, “Monte carlo study of an improved clock model in three dimensions,” Physical Review B 100
2019
Later among the works it cites.
Laurens Vanderstraeten, Jutho Haegeman, and Frank Verstraete, “Simulating excitation spectra with projected entangled-pair states,” Physical Review B 99
2019
Later among the works it cites.
Christian Schweizer, Fabian Grusdt, Moritz Berngruber, Luca Barbiero, Eugene Demler, Nathan Goldman, Immanuel Bloch, and Monika Aidelsburger, “Floquet approach to ℤ 2 lattice gauge theories with ultracold atoms in optical lattices,” Nature Physics 15
2019
Later among the works it cites.
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2019
Later among the works it cites.
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2019
Later among the works it cites.
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