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3
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Z. Nussinov, G. Ortiz, cond-mat/0702377.
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Z. Nussinov, G. Ortiz, cond-mat/0702377.
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4
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62849096764
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Z. Nussinov, G. Ortiz, cond-mat/0605316.
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Z. Nussinov, G. Ortiz, cond-mat/0605316.
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9
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Somma, R.4
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10
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62849116652
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note
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topo = 1.
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17
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62849088988
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M. Oshikawa, Y.-B. Kim, K. Shtengel, C. Nayak, S. Tewari, cond-mat/0607743.
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M. Oshikawa, Y.-B. Kim, K. Shtengel, C. Nayak, S. Tewari, cond-mat/0607743.
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Bergholtz E.J., Kailasvuori J., Wikberg E., Hansson T.H., and Karlhede A. Phys. Rev. B 74 (2006) 081308R
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Bergholtz, E.J.1
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25
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33244468607
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Seidel A., Fu H., Lee DH., Leinaas J.M., and Moore J. Phys. Rev. Lett. 95 (2005) 266405
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Seidel, A.1
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41
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62849124043
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cond-mat/0606075
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Z. Nussinov, cond-mat/0606075.
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Nussinov, Z.1
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43
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1542317587
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(and references cited therein)
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Senthil T., Viswanath A., Balents L., Sachdev S., and Fisher M.P.A. Science 303 (2004) 1490 (and references cited therein)
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Senthil, T.1
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Fisher, M.P.A.5
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57
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62849118256
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note
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β 〉 are eigenstates of H with the same eigenvalue.
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61
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62849106238
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note
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max and states which differ by a finite number of spin flips is algebraically small in the system size. The general matrix element of a quasi-local operator between different (orthogonal) symmetry eigenstates can be computed by the Clebsch-Gordan coefficients and is seen to be exponentially small in the system size.
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64
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35848938732
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Some time after we found the mappings to the Ising chain [3, 4], we learned that H. Chen and J. Hu later arrived independently, by fermionization, at a similar conclusion regarding the equivalence of this model to an Ising chain:
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Some time after we found the mappings to the Ising chain [3, 4], we learned that H. Chen and J. Hu later arrived independently, by fermionization, at a similar conclusion regarding the equivalence of this model to an Ising chain:. Chen H.-D., and Hu J. Phys. Rev. B 76 (2007) 193101
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(2007)
Phys. Rev. B
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Chen, H.-D.1
Hu, J.2
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67
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62849105808
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note
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{norm of matrix} P {norm of matrix}. From these relations, Eq. (111) follows.
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68
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62849115898
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note
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s) needs to be much larger than the separation of the spins {norm of matrix} R {norm of matrix}.
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69
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62849108369
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note
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i → c with a finite non-zero (nor infinite c).
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76
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62849098936
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H. Katsura, T. Hirano, Y. Hatsugai, cond-mat/0702196.
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H. Katsura, T. Hirano, Y. Hatsugai, cond-mat/0702196.
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80
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62849123483
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note
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D - 1) scaling although no TQO might exist in this system of tight binding fermions.
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85
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62849105041
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Hernandez S., and Clark J. (Eds), Nova, New York
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Batista C.D., and Ortiz G. In: Hernandez S., and Clark J. (Eds). Condensed Matter Theories. 1 ed. vol. 16 (2001), Nova, New York
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Batista, C.D.1
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97
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62849087748
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F. Anfuso, A. Rosch, cond-mat/0609051, cond-mat/0702064.
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F. Anfuso, A. Rosch, cond-mat/0609051, cond-mat/0702064.
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100
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62849116886
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note
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Ns + 2 g - 1.
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101
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62849108368
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note
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p = 1 with R a region which does not span the entire lattice.
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102
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62849124276
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note
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- 3 / 2 .
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115
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0039486112
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Cambridge University Press, New York
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Cvetkovic D., Rowlinson P., and Simic S. Eigenspaces of Graphs (Encyclopedia of Mathematics and Its Applications, v. 66) (1997), Cambridge University Press, New York
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Eigenspaces of Graphs (Encyclopedia of Mathematics and Its Applications, v. 66)
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Cvetkovic, D.1
Rowlinson, P.2
Simic, S.3
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122
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62849107169
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Z. Nussinov, G. Ortiz, arXiv:0812.4309 (2008).
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Z. Nussinov, G. Ortiz, arXiv:0812.4309 (2008).
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