-
1
-
-
28844477796
-
Z2 topological order and the quantum spin hall effect
-
DOI 10.1103/PhysRevLett.95.146802, 146802
-
C. L. Kane and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 95, 146802 (2005); (Pubitemid 41777602)
-
(2005)
Physical Review Letters
, vol.95
, Issue.14
, pp. 1-4
-
-
Kane, C.L.1
Mele, E.J.2
-
3
-
-
33847795859
-
Topological insulators in three dimensions
-
DOI 10.1103/PhysRevLett.98.106803
-
L.Fu, C. L. Kane, and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 98, 106803 (2007). (Pubitemid 46393379)
-
(2007)
Physical Review Letters
, vol.98
, Issue.10
, pp. 106803
-
-
Fu, L.1
Kane, C.L.2
Mele, E.J.3
-
4
-
-
52949141112
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.125316
-
M. W. Young, S.-S. Lee, and C. Kallin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.125316 78, 125316 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 125316
-
-
Young, M.W.1
Lee, S.-S.2
Kallin, C.3
-
5
-
-
77952012002
-
-
PRLTAO 1745-2473 10.1038/nphys1606
-
D. Pesin and L. Balents, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys1606 6, 376 (2010).
-
(2010)
Nat. Phys.
, vol.6
, pp. 376
-
-
Pesin, D.1
Balents, L.2
-
6
-
-
77957572195
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.82.085111
-
B.-J. Yang and Y. B. Kim, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.085111 82, 085111 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 085111
-
-
Yang, B.-J.1
Kim, Y.B.2
-
7
-
-
79961123398
-
-
e-print arXiv: 1007.0016 (to be published).
-
X. Wang, e-print arXiv: 1007.0016 (to be published).
-
-
-
Wang, X.1
-
8
-
-
67649342613
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.256403
-
A. Shitade, H. Katsura, J. Kunes, X. L. Qi, S. C. Zhang, and N.Nagaosa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.256403 102, 256403 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 256403
-
-
Shitade, A.1
Katsura, H.2
Kunes, J.3
Qi, X.L.4
Zhang, S.C.5
Nagaosa, N.6
-
9
-
-
77957717404
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.82.115125
-
C. N. Varney, K. Sun, M. Rigol, and V. Galitski, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.115125 82, 115125 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 115125
-
-
Varney, C.N.1
Sun, K.2
Rigol, M.3
Galitski, V.4
-
10
-
-
33644910778
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401
-
C. Wu, B. A. Bernevig, and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401 96, 106401 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 106401
-
-
Wu, C.1
Bernevig, B.A.2
Zhang, S.C.3
-
11
-
-
33144489555
-
Stability of the quantum spin Hall effect: Effects of interactions, disorder, and Z2 topology
-
DOI 10.1103/PhysRevB.73.045322, 045322
-
C. Xu and J. E. Moore, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73. 045322 73, 045322 (2006). (Pubitemid 43270648)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.73
, Issue.4
, pp. 1-6
-
-
Xu, C.1
Moore, J.E.2
-
12
-
-
55449095804
-
-
JUPSAU 0031-9015 10.1143/JPSJ.77.114701
-
D. Tahara and M. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.114701 77, 114701 (2008).
-
(2008)
J. Phys. Soc. Jpn.
, vol.77
, pp. 114701
-
-
Tahara, D.1
Imada, M.2
-
13
-
-
4243962253
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.64.024512
-
S. Sorella, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.024512 64, 024512 (2001).
-
(2001)
Phys. Rev. B
, vol.64
, pp. 024512
-
-
Sorella, S.1
-
14
-
-
84911460571
-
-
JUPSAU 0031-9015 10.1143/JPSJ.79.112001
-
M. Imada and T. Miyake, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.79.112001 79, 112001 (2010).
-
(2010)
J. Phys. Soc. Jpn.
, vol.79
, pp. 112001
-
-
Imada, M.1
Miyake, T.2
-
15
-
-
34547575039
-
-
PHRVAO 0031-899X 10.1103/PhysRev.133.A171
-
W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.133.A171 133, A171 (1964).
-
(1964)
Phys. Rev.
, vol.133
, pp. 171
-
-
Kohn, W.1
-
16
-
-
77950842509
-
-
NATUAS 0028-0836 10.1038/nature08942
-
Z. Y. Meng, Nature (London) NATUAS 0028-0836 10.1038/nature08942 464, 847 (2010).
-
(2010)
Nature (London)
, vol.464
, pp. 847
-
-
Meng, Z.Y.1
-
17
-
-
77957374596
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.82.075106
-
S. Rachel and K. Le Hur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075106 82, 075106 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 075106
-
-
Rachel, S.1
Le Hur, K.2
-
18
-
-
0008514974
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.57.7829
-
P. Kopietz, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.7829 57, 7829 (1998).
-
(1998)
Phys. Rev. B
, vol.57
, pp. 7829
-
-
Kopietz, P.1
-
19
-
-
43249124528
-
Many-body generalization of the Z2 topological invariant for the quantum spin hall effect
-
DOI 10.1103/PhysRevLett.100.186807
-
S.-S. Lee and S. Ryu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.186807 100, 186807 (2008). (Pubitemid 351656908)
-
(2008)
Physical Review Letters
, vol.100
, Issue.18
, pp. 186807
-
-
Lee, S.-S.1
Ryu, S.2
-
20
-
-
79961121223
-
-
2=0 in Ref.. In addition, if the TEMI phase is a real quantum phase, it should be different from the spin liquid claimed to exist only in three-dimensional models in Ref..
-
2 = 0 in Ref.. In addition, if the TEMI phase is a real quantum phase, it should be different from the spin liquid claimed to exist only in three-dimensional models in Ref..
-
-
-
-
22
-
-
54349105153
-
-
JUPSAU 0031-9015 10.1143/JPSJ.77.093703
-
D. Tahara and M. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.093703 77, 093703 (2008).
-
(2008)
J. Phys. Soc. Jpn.
, vol.77
, pp. 093703
-
-
Tahara, D.1
Imada, M.2
-
23
-
-
4244007319
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.64.2831
-
H. J. Schulz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 2831 64, 2831 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 2831
-
-
Schulz, H.J.1
-
24
-
-
0006016757
-
-
RPPHAG 0034-4885 10.1088/0034-4885/58/9/002
-
J. Voit, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/58/9/002 58, 977 (1995).
-
(1995)
Rep. Prog. Phys.
, vol.58
, pp. 977
-
-
Voit, J.1
-
25
-
-
79961108243
-
-
Our present results support that the edge modes remain helical even in the presence of the Hubbard U. If the edge spin Drude weights continue to arise from the gapless edge modes, the spin pumping due to the spin independent vector potentials (see Fig.) is a strong indication of the helical edge modes.
-
Our present results support that the edge modes remain helical even in the presence of the Hubbard U. If the edge spin Drude weights continue to arise from the gapless edge modes, the spin pumping due to the spin independent vector potentials (see Fig.) is a strong indication of the helical edge modes.
-
-
-
-
26
-
-
55149118028
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.165313
-
S. Murakami and S. I. Kuga, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.165313 78, 165313 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 165313
-
-
Murakami, S.1
Kuga, S.I.2
-
28
-
-
79961125034
-
-
e-print arXiv: 1011.5858 (to be published).
-
D. Zheng, C. Wu, and G.-M. Zhang, e-print arXiv: 1011.5858 (to be published).
-
-
-
Zheng, D.1
Wu, C.2
Zhang, G.-M.3
|