-
1
-
-
22244450797
-
Revival of the magnetoelectric effect
-
DOI 10.1088/0022-3727/38/8/R01
-
M. Fiebig, J. Phys. D: Appl. Phys. JPAPBE 0022-3727 10.1088/0022-3727/38/ 8/R01 38, R123 (2005). (Pubitemid 41244606)
-
(2005)
Journal of Physics D: Applied Physics
, vol.38
, Issue.8
-
-
Fiebig, M.1
-
2
-
-
33747623307
-
Multiferroic and magnetoelectric materials
-
DOI 10.1038/nature05023, PII NATURE05023
-
W. Eerenstein, N. D. Mathur, and J. F. Scott, Nature (London) NATUAS 0028-0836 10.1038/nature05023 442, 759 (2006). (Pubitemid 44261898)
-
(2006)
Nature
, vol.442
, Issue.7104
, pp. 759-765
-
-
Eerenstein, W.1
Mathur, N.D.2
Scott, J.F.3
-
3
-
-
77952028883
-
-
EPJBFY 1434-6028 10.1140/epjb/e2009-00266-4
-
M. Fiebig and N. A. Spaldin, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00266-4 71, 293 (2009).
-
(2009)
Eur. Phys. J. B
, vol.71
, pp. 293
-
-
Fiebig, M.1
Spaldin, N.A.2
-
4
-
-
77952024445
-
-
EPJBFY 1434-6028 10.1140/epjb/e2009-00336-7
-
J.-P. Rivera, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00336-7 71, 299 (2009).
-
(2009)
Eur. Phys. J. B
, vol.71
, pp. 299
-
-
Rivera, J.-P.1
-
5
-
-
0000689043
-
-
in edited by A. J. Freeman and H. Schmid (Gordon and Breach, London
-
V. E. Wood and A. E. Austin, in Magnetoelectric Interaction Phenomena in Crystals, edited by, A. J. Freeman, and, H. Schmid, (Gordon and Breach, London, 1975), pp. 181-194.
-
(1975)
Magnetoelectric Interaction Phenomena in Crystals
, pp. 181-194
-
-
Wood, V.E.1
Austin, A.E.2
-
6
-
-
82455176208
-
-
SOPUAP 0038-5670 10.1070/PU1982v025n07ABEH004570
-
G. A. Smolenski and I. E. Chupis, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1982v025n07ABEH004570 25, 475 (1982).
-
(1982)
Sov. Phys. Usp.
, vol.25
, pp. 475
-
-
Smolenski, G.A.1
Chupis, I.E.2
-
7
-
-
51749092581
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.101.117201
-
J. Íñiguez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.117201 101, 117201 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 117201
-
-
Íñiguez, J.1
-
9
-
-
73649095894
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.103.267205
-
J. C. Wojdel and J. Íñiguez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.267205 103, 267205 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 267205
-
-
Wojdel, J.C.1
Íñiguez, J.2
-
10
-
-
77955765459
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.81.205104
-
A. M. Essin, A. M. Turner, J. E. Moore, and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.205104 81, 205104 (2010).
-
(2010)
Phys. Rev. B
, vol.81
, pp. 205104
-
-
Essin, A.M.1
Turner, A.M.2
Moore, J.E.3
Vanderbilt, D.4
-
11
-
-
77952701408
-
-
NJOPFM 1367-2630 10.1088/1367-2630/12/5/053032
-
A. Malashevich, I. Souza, S. Coh, and D. Vanderbilt, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/053032 12, 053032 (2010).
-
(2010)
New J. Phys.
, vol.12
, pp. 053032
-
-
Malashevich, A.1
Souza, I.2
Coh, S.3
Vanderbilt, D.4
-
12
-
-
57249108445
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.78.195424
-
X. L. Qi, T. L. Hughes, and S.-C. Zhang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.195424 78, 195424 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 195424
-
-
Qi, X.L.1
Hughes, T.L.2
Zhang, S.-C.3
-
13
-
-
65549133453
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805
-
A. M. Essin, J. E. Moore, and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805 102, 146805 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 146805
-
-
Essin, A.M.1
Moore, J.E.2
Vanderbilt, D.3
-
14
-
-
34347373900
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.76.045302
-
L. Fu and C. L. Kane, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76. 045302 76, 045302 (2007).
-
(2007)
Phys. Rev. B
, vol.76
, pp. 045302
-
-
Fu, L.1
Kane, C.L.2
-
15
-
-
42949106486
-
A topological Dirac insulator in a quantum spin Hall phase
-
DOI 10.1038/nature06843, PII NATURE06843
-
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nature (London) NATUAS 0028-0836 10.1038/nature06843 452, 970 (2008). (Pubitemid 351606144)
-
(2008)
Nature
, vol.452
, Issue.7190
, pp. 970-974
-
-
Hsieh, D.1
Qian, D.2
Wray, L.3
Xia, Y.4
Hor, Y.S.5
Cava, R.J.6
Hasan, M.Z.7
-
16
-
-
70349765760
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.103.146401
-
D. Hsieh, Y. Xia, D. Qian, L. Wray, F. Meier, J. H. Dil, J. Osterwalder, L. Patthey, A. V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 146401 103, 146401 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.103
, pp. 146401
-
-
Hsieh, D.1
Xia, Y.2
Qian, D.3
Wray, L.4
Meier, F.5
Dil, J.H.6
Osterwalder, J.7
Patthey, L.8
Fedorov, A.V.9
Lin, H.10
Bansil, A.11
Grauer, D.12
Hor, Y.S.13
Cava, R.J.14
Hasan, M.Z.15
-
17
-
-
67650262991
-
-
1745-2473 10.1038/nphys1274
-
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Nat. Phys. 1745-2473 10.1038/nphys1274 5, 398 (2008).
-
(2008)
Nat. Phys.
, vol.5
, pp. 398
-
-
Xia, Y.1
Qian, D.2
Hsieh, D.3
Wray, L.4
Pal, A.5
Lin, H.6
Bansil, A.7
Grauer, D.8
Hor, Y.S.9
Cava, R.J.10
Hasan, M.Z.11
-
18
-
-
77955375966
-
-
EPJBFY 1434-6028 10.1140/epjb/e2009-00203-7
-
F. W. Hehl, Y. N. Obukhov, J.-P. Rivera, and H. Schmid, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00203-7 71, 321 (2009).
-
(2009)
Eur. Phys. J. B
, vol.71
, pp. 321
-
-
Hehl, F.W.1
Obukhov, Y.N.2
Rivera, J.-P.3
Schmid, H.4
-
19
-
-
84958318390
-
-
FEROA8 0015-0193 10.1080/00150199408213365
-
J.-P. Rivera, Ferroelectrics FEROA8 0015-0193 10.1080/00150199408213365 161, 165 (1994).
-
(1994)
Ferroelectrics
, vol.161
, pp. 165
-
-
Rivera, J.-P.1
-
20
-
-
3543103556
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.47.1651
-
R. D. King-Smith and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.47.1651 47, 1651 (1993).
-
(1993)
Phys. Rev. B
, vol.47
, pp. 1651
-
-
King-Smith, R.D.1
Vanderbilt, D.2
-
21
-
-
33747073706
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.48.4442
-
D. Vanderbilt and R. D. King-Smith, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.48.4442 48, 4442 (1993).
-
(1993)
Phys. Rev. B
, vol.48
, pp. 4442
-
-
Vanderbilt, D.1
King-Smith, R.D.2
-
22
-
-
63649110853
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.107603
-
S. Coh and D. Vanderbilt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.107603 102, 107603 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 107603
-
-
Coh, S.1
Vanderbilt, D.2
-
23
-
-
79961016484
-
-
Here, we refer to a multiband gauge transformation having the form of Eq. (18), since α can be shown to be fully invariant under a single-band phase twist.
-
Here, we refer to a multiband gauge transformation having the form of Eq. (18), since α can be shown to be fully invariant under a single-band phase twist.
-
-
-
-
24
-
-
19744366974
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.206602
-
F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 93.206602 93, 206602 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 206602
-
-
Haldane, F.D.M.1
-
25
-
-
0000783193
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
-
F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2015 61, 2015 (1988).
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2015
-
-
Haldane, F.D.M.1
-
26
-
-
78349239882
-
-
0034-6861 10.1103/RevModPhys.82.3045
-
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.82.3045 82, 3045 (2010).
-
(2010)
Rev. Mod. Phys.
, vol.82
, pp. 3045
-
-
Hasan, M.Z.1
Kane, C.L.2
-
27
-
-
0001315881
-
-
H. Wiegelmann, A. G. M. Jansen, P. Wyder, J. P. Rivera, and H. Schmid, Ferroelectrics 162, 141 (1994).
-
(1994)
Ferroelectrics
, vol.162
, pp. 141
-
-
Wiegelmann, H.1
Jansen, A.G.M.2
Wyder, P.3
Rivera, J.P.4
Schmid, H.5
-
30
-
-
33751253456
-
Ab initio calculation of the anomalous Hall conductivity by Wannier interpolation
-
DOI 10.1103/PhysRevB.74.195118
-
X. Wang, J. R. Yates, I. Souza, and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.195118 74, 195118 (2006). (Pubitemid 44791141)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.74
, Issue.19
, pp. 195118
-
-
Wang, X.1
Yates, J.R.2
Souza, I.3
Vanderbilt, D.4
-
31
-
-
36049030269
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.76.195109
-
X. Wang, D. Vanderbilt, J. R. Yates, and I. Souza, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.195109 76, 195109 (2007).
-
(2007)
Phys. Rev. B
, vol.76
, pp. 195109
-
-
Wang, X.1
Vanderbilt, D.2
Yates, J.R.3
Souza, I.4
-
32
-
-
4243690324
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.56.12847
-
N. Marzari and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.56.12847 56, 12847 (1997).
-
(1997)
Phys. Rev. B
, vol.56
, pp. 12847
-
-
Marzari, N.1
Vanderbilt, D.2
-
33
-
-
70349568754
-
-
JCOMEL 0953-8984 10.1088/0953-8984/21/39/395502
-
P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A. P. Seitsonen, A. Smogunov, P. Umari, and R. M. Wentzcovitch, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/39/395502 21, 395502 (2009).
-
(2009)
J. Phys. Condens. Matter
, vol.21
, pp. 395502
-
-
Giannozzi, P.1
Baroni, S.2
Bonini, N.3
Calandra, M.4
Car, R.5
Cavazzoni, C.6
Ceresoli, D.7
Chiarotti, G.L.8
Cococcioni, M.9
Dabo, I.10
Dal Corso, A.11
De Gironcoli, S.12
Fabris, S.13
Fratesi, G.14
Gebauer, R.15
Gerstmann, U.16
Gougoussis, C.17
Kokalj, A.18
Lazzeri, M.19
Martin-Samos, L.20
Marzari, N.21
Mauri, F.22
Mazzarello, R.23
Paolini, S.24
Pasquarello, A.25
Paulatto, L.26
Sbraccia, C.27
Scandolo, S.28
Sclauzero, G.29
Seitsonen, A.P.30
Smogunov, A.31
Umari, P.32
Wentzcovitch, R.M.33
more..
-
34
-
-
41949118958
-
-
CPHCBZ 0010-4655 10.1016/j.cpc.2007.11.016
-
A. A. Mostofi, J. R. Yates, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2007.11.016 178, 685 (2008).
-
(2008)
Comput. Phys. Commun.
, vol.178
, pp. 685
-
-
Mostofi, A.A.1
Yates, J.R.2
Lee, Y.-S.3
Souza, I.4
Vanderbilt, D.5
Marzari, N.6
-
36
-
-
33645898818
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.45.13244
-
J. P. Perdew and Y. Wang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.45.13244 45, 13244 (1992).
-
(1992)
Phys. Rev. B
, vol.45
, pp. 13244
-
-
Perdew, J.P.1
Wang, Y.2
-
37
-
-
1842816907
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.13.5188
-
H. J. Monkhorst and J. D. Pack, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.13.5188 13, 5188 (1976).
-
(1976)
Phys. Rev. B
, vol.13
, pp. 5188
-
-
Monkhorst, H.J.1
Pack, J.D.2
-
38
-
-
35648937089
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.76.155123
-
N. J. Mosey and E. A. Carter, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.155123 76, 155123 (2007).
-
(2007)
Phys. Rev. B
, vol.76
, pp. 155123
-
-
Mosey, N.J.1
Carter, E.A.2
-
40
-
-
79961013265
-
-
Throughout the paper, the notation for magnetic point groups follows Ref. 29.
-
Throughout the paper, the notation for magnetic point groups follows Ref. 29.
-
-
-
-
41
-
-
67650260772
-
-
1745-2473 10.1038/nphys1270
-
H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nat. Phys. 1745-2473 10.1038/nphys1270 5, 438 (2008).
-
(2008)
Nat. Phys.
, vol.5
, pp. 438
-
-
Zhang, H.1
Liu, C.-X.2
Qi, X.-L.3
Dai, X.4
Fang, Z.5
Zhang, S.-C.6
-
43
-
-
67649395962
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.79.195321
-
R. Roy, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.195321 79, 195321 (2009).
-
(2009)
Phys. Rev. B
, vol.79
, pp. 195321
-
-
Roy, R.1
-
44
-
-
79551589803
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.83.035108
-
A. A. Soluyanov and D. Vanderbilt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.035108 83, 035108 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 035108
-
-
Soluyanov, A.A.1
Vanderbilt, D.2
-
45
-
-
77950520543
-
-
1745-2473 10.1038/nphys1534
-
R. Li, J. Wang, X.-L. Qi, and S.-C. Zhang, Nat. Phys. 1745-2473 10.1038/nphys1534 6, 284 (2010).
-
(2010)
Nat. Phys.
, vol.6
, pp. 284
-
-
Li, R.1
Wang, J.2
Qi, X.-L.3
Zhang, S.-C.4
-
47
-
-
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
-
48
-
-
33947696243
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.75.121306
-
J. E. Moore and L. Balents, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.75.121306 75, 121306 (2007).
-
(2007)
Phys. Rev. B
, vol.75
, pp. 121306
-
-
Moore, J.E.1
Balents, L.2
-
49
-
-
67649407761
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.79.195322
-
R. Roy, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.195322 79, 195322 (2009).
-
(2009)
Phys. Rev. B
, vol.79
, pp. 195322
-
-
Roy, R.1
-
50
-
-
0000487710
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.37.10685
-
G. Vignale and M. Rasolt, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.37.10685 37, 10685 (1988).
-
(1988)
Phys. Rev. B
, vol.37
, pp. 10685
-
-
Vignale, G.1
Rasolt, M.2
-
51
-
-
42749105766
-
Mapping from current densities to vector potentials in time-dependent current density functional theory
-
DOI 10.1103/PhysRevB.70.201102, 201102
-
G. Vignale, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.70.201102 70, 201102 (2004). (Pubitemid 40153488)
-
(2004)
Physical Review B - Condensed Matter and Materials Physics
, vol.70
, Issue.20
, pp. 2011021-2011024
-
-
Vignale, G.1
-
52
-
-
33745942125
-
Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
-
DOI 10.1103/PhysRevB.74.024408
-
D. Ceresoli, T. Thonhauser, D. Vanderbilt, and R. Resta, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.024408 74, 024408 (2006). (Pubitemid 44061124)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.74
, Issue.2
, pp. 024408
-
-
Ceresoli, D.1
Thonhauser, T.2
Vanderbilt, D.3
Resta, R.4
|