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3
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85038274160
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edited by S. Goldwasser, Los Alamitos, CA (IEEE, New York
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P. W. Shor, in Proceedings of the 35th Symposium on the Foundations of Computer Science, edited by S. Goldwasser, Los Alamitos, CA (IEEE, New York, 1994).
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(1994)
Proceedings of the 35th Symposium on the Foundations of Computer Science
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Shor, P.W.1
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7
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85038320531
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(unpublished)
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A. Yu. Kitaev, (unpublished).
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Kitaev, A.Y.1
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8
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0003571050
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See, e.g., (World Scientific, Singapore
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See, e.g., M. Mezard, G. Parisi and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1997).
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(1997)
Spin Glass Theory and Beyond
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Mezard, M.1
Parisi, G.2
Virasoro, M.3
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14
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0037203890
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L. B. Ioffe, M. V. Feigel’man, A. Ioselevich, D. Ivanov, M. Troyer, and G. Blatter, Nature (London) 415, 503 (2002).
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(2002)
Nature (London)
, vol.415
, pp. 503
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Ioffe, L.B.1
Feigel’man, M.V.2
Ioselevich, A.3
Ivanov, D.4
Troyer, M.5
Blatter, G.6
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15
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85038303627
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The flux (formula presented) can be also chosen so that it is an integer multiple of (formula presented) this would not change significantly the final results but would change intermediate arguments and make them longer, so for clarity we discuss in detail only the half-integer case here. Note, however, that the main quantitative effect of this alternative choice of the flux is beneficial: it would push up the phase-transition line separating the topological and superconducting phases shown in Fig. 33 for the half-integer case
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The flux (formula presented) can be also chosen so that it is an integer multiple of (formula presented) this would not change significantly the final results but would change intermediate arguments and make them longer, so for clarity we discuss in detail only the half-integer case here. Note, however, that the main quantitative effect of this alternative choice of the flux is beneficial: it would push up the phase-transition line separating the topological and superconducting phases shown in Fig. 33 for the half-integer case.
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17
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85038330707
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a rotated basis (formula presented) (formula presented) this model is reduced to a special case of (formula presented) lattice gauge theory (Refs. 17 and 18) which contains only magnetic terms in the Hamiltonian with the constraint (3) playing a role of a gauge-invariance condition
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In a rotated basis (formula presented) (formula presented) this model is reduced to a special case of (formula presented) lattice gauge theory (Refs. 17 and 18) which contains only magnetic terms in the Hamiltonian with the constraint (3) playing a role of a gauge-invariance condition.
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22
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85038318606
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We assume that transition to insulating phase is direct; another alternative is the intermediate phase in which the energy of the vortex becomes finite instead of being logarithmic. If this phase indeed exists it is likely to have properties more similar to the one discussed in Ref. 7
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We assume that transition to insulating phase is direct; another alternative is the intermediate phase in which the energy of the vortex becomes finite instead of being logarithmic. If this phase indeed exists it is likely to have properties more similar to the one discussed in Ref. 7.
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32
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85038311195
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P. Fendley, R. Moessner, and S. L. Sondhi
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P. Fendley, R. Moessner, and S. L. Sondhi
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33
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85038315357
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(to be published 1 December
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Phys. Rev. B (to be published 1 December 2002).
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(2002)
Phys. Rev. B
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