Fetching the paper…
Reading the bibliography…
We begin with an introduction to topological order using Wegner's quantum $Z_2$ gauge theory on the square lattice: the topological state is characterized by the expulsion of defects, carrying $Z_2$ magnetic flux.
J. M. Luttinger and J. C. Ward, Ground-State Energy of a Many-Fermion System. II , Phys. Rev. 118
1960
Earlier work this paper cites.
M. E. Fisher and R. J. Burford, Theory of Critical-Point Scattering and Correlations. I. The Ising Model , Phys. Rev. 156
1967
Earlier work this paper cites.
F. J. Wegner, Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters , J. Math. Phys. 12
1971
Earlier work this paper cites.
V. L. Berezinskiǐ, Destruction of Long-range Order in One-dimensional and Two-dimensional Systems having a Continuous Symmetry Group I. Classical Systems , Soviet Journal of Experimental and Theoretical Physics 32
1971
Earlier work this paper cites.
V. L. Berezinskiǐ, Destruction of Long-range Order in One-dimensional and Two-dimensional Systems Possessing a Continuous Symmetry Group. II. Quantum Systems , Soviet Journal of Experimental and Theoretical Physics 34
1972
Earlier work this paper cites.
K. G. Wilson and M. E. Fisher, Critical Exponents in 3.99 Dimensions , Phys. Rev. Lett. 28
1972
Earlier work this paper cites.
J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems , Journal of Physics C: Solid State Physics 6
1973
Earlier work this paper cites.
J. M. Kosterlitz, The critical properties of the two-dimensional XY model , Journal of Physics C: Solid State Physics 7
1974
Earlier work this paper cites.
G. ’t Hooft, Magnetic monopoles in unified gauge theories , Nucl. Phys. B 79
1974
Earlier work this paper cites.
A. M. Polyakov, Particle spectrum in quantum field theory , JETP Lett. 20
1974
Earlier work this paper cites.
J. A. Hertz, Quantum critical phenomena , Phys. Rev. B 14
1976
Earlier work this paper cites.
A. M. Polyakov, Quark confinement and topology of gauge theories , Nuclear Physics B 120
1977
Earlier work this paper cites.
M. E. Peskin, Mandelstam-’t Hooft duality in abelian lattice models , Annals of Physics 113
1978
Earlier work this paper cites.
J. B. Kogut, An introduction to lattice gauge theory and spin systems , Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
E. Fradkin and S. H. Shenker, Phase diagrams of lattice gauge theories with Higgs fields , Phys. Rev. D 19
1979
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phase Transition in a Lattice Model of Superconductivity , Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
D. Rokhsar and S. A. Kivelson, Superconductivity and the Quantum Hard-Core Dimer Gas , Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
F. D. M. Haldane, O(3) Nonlinear σ \sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions , Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
N. Read and S. Sachdev, Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets , Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
S. Kivelson, Statistics of holons in the quantum hard-core dimer gas , Phys. Rev. B 39
1989
Earlier work this paper cites.
N. Read and B. Chakraborty, Statistics of the excitations of the resonating-valence-bond state , Phys. Rev. B 40
1989
Earlier work this paper cites.
T. Dombre and N. Read, Nonlinear σ \sigma models for triangular quantum antiferromagnets , Phys. Rev. B 39
1989
Earlier work this paper cites.
E. Fradkin and S. A. Kivelson, Short range resonating valence bond theories and superconductivity , Mod. Phys. Lett. B 04
1990
Earlier work this paper cites.
N. Read and S. Sachdev, Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets , Phys. Rev. B 42
1990
Earlier work this paper cites.
R. A. Jalabert and S. Sachdev, Spontaneous alignment of frustrated bonds in an anisotropic, three-dimensional Ising model , Phys. Rev. B 44
1991
Earlier work this paper cites.
N. Read and S. Sachdev, Large N N expansion for frustrated quantum antiferromagnets , Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
X. G. Wen, Mean-field theory of spin-liquid states with finite energy gap and topological orders , Phys. Rev. B 44
1991
Earlier work this paper cites.
S. Sachdev and N. Read, Large N N expansion for frustrated and doped quantum antiferromagnets , Int. J. Mod. Phys. B 5
1991
Earlier work this paper cites.
F. A. Bais, P. van Driel and M. de Wild Propitius, Quantum symmetries in discrete gauge theories , Phys. Lett. B 280
1992
Earlier work this paper cites.
P. E. Lammert, D. S. Rokhsar and J. Toner, Topology and nematic ordering , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
A. V. Chubukov, S. Sachdev and T. Senthil, Quantum phase transitions in frustrated quantum antiferromagnets , Nucl. Phys. B 426
1994
Earlier work this paper cites.
P. E. Lammert, D. S. Rokhsar and J. Toner, Topology and nematic ordering. I. A gauge theory , Phys. Rev. E 52
1995
Earlier work this paper cites.
J. Toner, P. E. Lammert and D. S. Rokhsar, Topology and nematic ordering. II. Observable critical behavior , Phys. Rev. E 52
1995
Earlier work this paper cites.
X.-G. Wen and P. A. Lee, Theory of Underdoped Cuprates , Phys. Rev. Lett. 76
1996
Earlier work this paper cites.
S. Sachdev and M. Vojta, Translational symmetry breaking in two-dimensional antiferromagnets and superconductors , J. Phys. Soc. Jpn 69
1999
Earlier work this paper cites.
M. Oshikawa, Topological Approach to Luttinger’s Theorem and the Fermi Surface of a Kondo Lattice , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
T. Senthil and M. P. A. Fisher, ℤ 2 \mathbb{Z}_{2} gauge theory of electron fractionalization in strongly correlated systems , Phys. Rev. B 62
2000
Earlier work this paper cites.
R. Moessner, S. L. Sondhi and P. Chandra, Two-Dimensional Periodic Frustrated Ising Models in a Transverse Field , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
J. M. Maldacena, G. W. Moore and N. Seiberg, D-brane charges in five-brane backgrounds , JHEP 10
2001
Earlier work this paper cites.
C. Lannert, M. P. Fisher and T. Senthil, Quantum confinement transition in a d-wave superconductor , Phys. Rev. B 63
2001
Earlier work this paper cites.
R. Moessner and S. L. Sondhi, Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model , Phys. Rev. Lett. 86
2001
Cited alongside, same era.
R. Moessner, S. L. Sondhi and P. Chandra, Phase diagram of the hexagonal lattice quantum dimer model , Phys. Rev. B 64
2001
Cited alongside, same era.
G. V. Dunne, I. I. Kogan, A. Kovner and B. Tekin, Deconfining phase transition in (2+1)-dimensions: The Georgi-Glashow model , JHEP 01
2001
Cited alongside, same era.
T. Senthil and O. I. Motrunich, Microscopic models for fractionalized phases in strongly correlated systems , Phys. Rev. B 66
2002
Cited alongside, same era.
O. I. Motrunich and T. Senthil, Exotic Order in Simple Models of Bosonic Systems , Phys. Rev. Lett. 89
2002
Cited alongside, same era.
2011
Later among the works it cites.
Y. Huh, M. Punk and S. Sachdev, Vison states and confinement transitions of Z 2
2011
Later among the works it cites.
L. Huijse and S. Sachdev, Fermi surfaces and gauge-gravity duality , Phys. Rev. D 84
2011
Later among the works it cites.
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Sachdev and K. Park, Ground States of Quantum Antiferromagnets in Two Dimensions , Annals of Physics 298
2002
Cited alongside, same era.
R. D. Sedgewick, D. J. Scalapino and R. L. Sugar, Fractionalized phase in an XY-Z 2
2002
Cited alongside, same era.
K. Park and S. Sachdev, Bond and Néel order and fractionalization in ground states of easy-plane antiferromagnets in two dimensions , Phys. Rev. B 65
2002
Cited alongside, same era.
R. Moessner, S. L. Sondhi and E. Fradkin, Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories , Phys. Rev. B 65
2002
Cited alongside, same era.
A. C. Davis, A. Hart, T. W. B. Kibble and A. Rajantie, Monopole mass in the three-dimensional Georgi-Glashow model , Phys. Rev. D 65
2002
Cited alongside, same era.
S. Sachdev and T. Morinari, Strongly coupled quantum criticality with a Fermi surface in two dimensions: Fractionalization of spin and charge collective modes , Phys. Rev. B 66
2002
Cited alongside, same era.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Annals of Physics 303
2003
Cited alongside, same era.
2012
Later among the works it cites.
2012
Later among the works it cites.
A. M. Essin and M. Hermele, Classifying fractionalization: Symmetry classification of gapped Z 2
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
P. A. Lee, Amperean Pairing and the Pseudogap Phase of Cuprate Superconductors , Phys. Rev. X 4
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
D. Chowdhury and S. Sachdev, Higgs criticality in a two-dimensional metal , Phys. Rev. B 91
2015
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
X. Yang and F. Wang, Schwinger boson spin-liquid states on square lattice , Phys. Rev. B 94
2016
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
J.-F. He, C. R. Rotundu, M. S. Scheurer, Y. He, M. Hashimoto, K. Xu et al., Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order , preprint (2018)
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
2018
Closest in time.
X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. , Rev. Mod. Phys. 83
2026
Closest in time.
A. V. Chubukov, T. Senthil and S. Sachdev, Universal magnetic properties of frustrated quantum antiferromagnets in two dimensions , Phys. Rev. Lett. 72
2092
Closest in time.