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3
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79954512429
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z-conservation is violated by time-reversal-invariant perturbations and the conductivity is no longer well defined, but the helical edge state, which is a hallmark of the quantum SH effect, still survives robustly.1,2,10) As is mentioned in the text, we focus on the quantized spin Hall phase
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z-conservation is violated by time-reversal-invariant perturbations and the conductivity is no longer well defined, but the helical edge state, which is a hallmark of the quantum SH effect, still survives robustly.1,2,10) As is mentioned in the text, we focus on the quantized spin Hall phase.
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4
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67649342613
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A. Shitade, H. Katsura, J. Kuneš., X.-L. Qi, S.-C. Zhang, and N. Nagaosa: Phys. Rev. Lett. 102 (2009) 256403.
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(2009)
Phys. Rev. Lett.
, vol.102
, pp. 256403
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Shitade, A.1
Katsura, H.2
Kuneš, J.3
Qi, X.-L.4
Zhang, S.-C.5
Nagaosa, N.6
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9
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38949129028
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M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. W. Molenkamp, X.-L. Qi, and S.-C. Zhang: Science 318 (2007) 766.
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(2007)
Science
, vol.318
, pp. 766
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König, M.1
Wiedmann, S.2
Brüne, C.3
Roth, A.4
Buhmann, H.5
Molenkamp, L.W.6
Qi, X.-L.7
Zhang, S.-C.8
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11
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79954566280
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It has been pointed out by Rachel and Le Hur6) that, in the layeredhoneycomb lattice system, the phase transition occurs around U=t ≃f 3
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It has been pointed out by Rachel and Le Hur6) that, in the layeredhoneycomb lattice system, the phase transition occurs around U=t ≃f 3
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13
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79954540530
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Hereafter, we use the Lagrange formalism. The reason is that the topological BF term, which plays a crucial role in our discussion, does not appear in the Hamilton formalism explicitly and the formulation becomes complicated.15.17) We can explain this as follows: The quantized SH effect is one of the physical implications of the term [see Appendix]. It is renown that there is no energy consumption in the quantized SH effect, like the quantized charge Hall effect, since current response is perpendicular to the external field
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Hereafter, we use the Lagrange formalism. The reason is that the topological BF term, which plays a crucial role in our discussion, does not appear in the Hamilton formalism explicitly and the formulation becomes complicated.15.17) We can explain this as follows: The quantized SH effect is one of the physical implications of the term [see Appendix]. It is renown that there is no energy consumption in the quantized SH effect, like the quantized charge Hall effect, since current response is perpendicular to the external field.
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14
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79954484712
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J. Goryo, N. Maeda, and K.-I. Imura: arXiv:0905.2296
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J. Goryo, N. Maeda, and K.-I. Imura: arXiv:0905.2296.
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28
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79954524738
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mathematical equation represented
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Substituting eq. (6.2) into the Maxwell equation δ×B/μ -J, where B . ẑB, and taking the rotation of both sides of the equation, we have. mathematical equation represented. To solve it, we can obtain the equivalent results discussed in §4
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