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We study the stability of anyonic models on lattices to perturbations.
E. Lieb, T. Schultz, D. Mattis, Two soluble models of an antiferromagnetic chain, Ann. Phys 16 (3) (1961) 407–466
1961
Earlier work this paper cites.
G. Gallavotti, A. Martin-Lof, S. Miracle-Sole, Some problems connected with the description of coexisting phases at low temperatures in the Ising model, Lecture Notes in Physics 20 (1973) 159–204
1973
Earlier work this paper cites.
S. Pirogov, Y. Sinai, Phase diagrams of classical lattice systems continuation, Theoretical and Mathematical Physics 26 (1) (1976) 39–49
1976
Earlier work this paper cites.
M. Zahradník, An alternate version of Pirogov-Sinai theory, Communications in Mathematical Physics 93 (4) (1984) 559–581
1984
Earlier work this paper cites.
G. Moore, N. Seiberg, Classical and quantum conformal field theory, Communications in Mathematical Physics 123 (2) (1989) 177–254
1989
Earlier work this paper cites.
E. Witten, Quantum field theory and the Jones polynomial, Communications in Mathematical Physics 121 (3) (1989) 351–399
1989
Earlier work this paper cites.
K. Fredenhagen, K. Rehren, B. Schroer, Superselection sectors with braid group statistics and exchange algebras, Communications in Mathematical Physics 125 (2) (1989) 201–226
1989
Earlier work this paper cites.
C. Borgs, J. Imbrie, A unified approach to phase diagrams in field theory and statistical mechanics, Communications in Mathematical Physics 123 (2) (1989) 305–328
1989
Earlier work this paper cites.
J. Fröhlich, F. Gabbiani, Braid statistics in local quantum theory, Reviews in Mathematical Physics 2 (1990) 251–353
1990
Earlier work this paper cites.
B. Simon, The statistical mechanics of lattice gases, Princeton University Press, 1993
1993
Earlier work this paper cites.
V. Turaev, Quantum invariants of knots and 3-manifolds, Walter de Gruyter, 1994
1994
Earlier work this paper cites.
N. Datta, R. Fernández, J. Fröhlich, Low-temperature phase diagrams of quantum lattice systems. I. Stability for quantum perturbations of classical systems with finitely-many ground states, Journal of Statistical Physics 84 (3) (1996) 455–534
1996
Cited alongside, same era.
C. Borgs, R. Koteckỳ, D. Ueltschi, Low temperature phase diagrams for quantum perturbations of classical spin systems, Communications in Mathematical Physics 181 (2) (1996) 409–446
1996
Cited alongside, same era.
B. Bakalov, A. Kirillov, Lectures on tensor categories and modular functors, American Mathematical Society, 2001
2001
Cited alongside, same era.
A. Kitaev, Fault tolerant computation by anyons, Ann. Phys.(NY) 303 (2003) 2–30
2003
Cited alongside, same era.
M. Hastings, Lieb-Schultz-Mattis in higher dimensions, Physical Review B 69 (10) (2004) 104431
2004
A. Seidel, D. Lee, Abelian and non-Abelian Hall liquids and charge-density wave: Quantum number fractionalization in one and two dimensions, Physical review letters 97 (5) (2006) 56804
2006
Later among the works it cites.
C. Castelnovo, C. Chamon, Entanglement and topological entropy of the toric code at finite temperature, Physical Review B 76 (18) (2007) 184442
2007
Later among the works it cites.
C. Castelnovo, C. Chamon, Topological order and topological entropy in classical systems, Physical Review B 76 (17) (2007) 174416
2007
Later among the works it cites.
A. Feiguin, S. Trebst, A. Ludwig, M. Troyer, A. Kitaev, Z. Wang, M. Freedman, Interacting anyons in topological quantum liquids: The golden chain, Physical review letters 98 (16) (2007) 160409
2007
Later among the works it cites.
S. Trebst, P. Werner, M. Troyer, K. Shtengel, C. Nayak, Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension, Physical review letters 98 (7) (2007) 70602
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Cited alongside, same era.
M. Hastings, X. Wen, Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, Physical Review B 72 (4) (2005) 45141
2005
Cited alongside, same era.
M. Levin, X. Wen, String-net condensation: A physical mechanism for topological phases, Physical Review B 71 (4) (2005) 45110
2005
Cited alongside, same era.
E. Bergholtz, A. Karlhede, Half-Filled Lowest Landau Level on a Thin Torus, Physical review letters 94 (2) (2005) 26802
2005
Cited alongside, same era.
A. Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321 (1) (2006) 2–111
2006
Cited alongside, same era.
D. Yarotsky, Ground states in relatively bounded quantum perturbations of classical lattice systems, Communications in Mathematical Physics 261 (3) (2006) 799–819
2006
Cited alongside, same era.
E. Bergholtz, J. Kailasvuori, E. Wikberg, T. Hansson, A. Karlhede, Pfaffian quantum Hall state made simple: Multiple vacua and domain walls on a thin torus, Physical Review B 74 (8) (2006) 81308
2006
Cited alongside, same era.
E. Farhi, J. Goldstone, S. Gutmann, M. Sipser, Quantum computation by adiabatic evolution, Arxiv preprint quant-ph/0001106
Cited in the paper.
2007
Later among the works it cites.
C. Nayak, S. Simon, A. Stern, M. Freedman, S. Das Sarma, Non-Abelian anyons and topological quantum computation, Reviews of Modern Physics 80 (3) (2008) 1083–1159
2008
Later among the works it cites.
P. Fendley, Topological order from quantum loops and nets, Annals of Physics 323 (12) (2008) 3113–3136
2008
Later among the works it cites.
Z. Nussinov, G. Ortiz, Autocorrelations and thermal fragility of anyonic loops in topologically quantum ordered systems, Physical Review B 77 (6) (2008) 64302
2008
Later among the works it cites.
S. Iblisdir, D. Perez-Garcia, M. Aguado, J. Pachos, Scaling law for topologically ordered systems at finite temperature, Physical Review B 79 (13) (2009) 134303
2009
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A. Hamma, C. Castelnovo, C. Chamon, Toric-boson model: Toward a topological quantum memory at finite temperature, Physical Review B 79 (24) (2009) 245122
2009
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E. Ardonne, Domain Walls, Fusion Rules, and Conformal Field Theory in the Quantum Hall Regime, Physical Review Letters 102 (18) (2009) 180401
2009
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