-
1
-
-
36149006492
-
-
PHRVAO 0031-899X 10.1103/PhysRev.37.405
-
L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.37.405 37, 405 (1931).
-
(1931)
Phys. Rev.
, vol.37
, pp. 405
-
-
Onsager, L.1
-
2
-
-
36149006040
-
-
PHRVAO 0031-899X 10.1103/PhysRev.38.2265
-
L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.38.2265 38, 2265 (1931).
-
(1931)
Phys. Rev.
, vol.38
, pp. 2265
-
-
Onsager, L.1
-
3
-
-
0001755436
-
-
JMAPAQ 0022-2488 10.1063/1.1703863
-
F. J. Dyson, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703863 3, 1199 (1962);
-
(1962)
J. Math. Phys.
, vol.3
, pp. 1199
-
-
Dyson, F.J.1
-
5
-
-
0001143771
-
-
NUPABL 0375-9474 10.1016/0375-9474(93)90098-I
-
E. V. Shuryak and J. J. M. Verbaarschot, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(93)90098-I 560, 306 (1993);
-
(1993)
Nucl. Phys. A
, vol.560
, pp. 306
-
-
Shuryak, E.V.1
Verbaarschot, J.J.M.2
-
6
-
-
4243561258
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.72.2531
-
J. Verbaarschot, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 72.2531 72, 2531 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 2531
-
-
Verbaarschot, J.1
-
7
-
-
0000023684
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.55.1142
-
A. Altland and M. R. Zirnbauer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.1142 55, 1142 (1997).
-
(1997)
Phys. Rev. B
, vol.55
, pp. 1142
-
-
Altland, A.1
Zirnbauer, M.R.2
-
9
-
-
0000880778
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.53.6605
-
N. R. Claughton and C. J. Lambert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.6605 53, 6605 (1996).
-
(1996)
Phys. Rev. B
, vol.53
, pp. 6605
-
-
Claughton, N.R.1
Lambert, C.J.2
-
10
-
-
4544260368
-
-
JLTPAC 0022-2291 10.1023/B:JOLT.0000041275.16029.66
-
P. Virtanen and T. Heikkilä, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/B:JOLT.0000041275.16029.66 136, 401 (2004).
-
(2004)
J. Low Temp. Phys.
, vol.136
, pp. 401
-
-
Virtanen, P.1
Heikkilä, T.2
-
11
-
-
58149234014
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.224521
-
M. Titov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.224521 78, 224521 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 224521
-
-
Titov, M.1
-
12
-
-
78751641577
-
-
EULEEJ 0295-5075 10.1209/0295-5075/91/67009
-
Ph. Jacquod and R. S. Whitney, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/91/67009 91, 67009 (2010).
-
(2010)
Europhys. Lett.
, vol.91
, pp. 67009
-
-
Jacquod, Ph.1
Whitney, R.S.2
-
13
-
-
79961104384
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.205414
-
T. Engl, J. Kuipers, and K. Richter, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.205414 83, 205414 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 205414
-
-
Engl, T.1
Kuipers, J.2
Richter, K.3
-
17
-
-
0037764669
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.67.140502
-
A. Parsons, I. A. Sosnin, and V. T. Petrashov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.140502 67, 140502 (R) (2003).
-
(2003)
Phys. Rev. B
, vol.67
, pp. 140502
-
-
Parsons, A.1
Sosnin, I.A.2
Petrashov, V.T.3
-
19
-
-
0242321302
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.91.137002
-
E. V. Bezuglyi and V. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.137002 91, 137002 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 137002
-
-
Bezuglyi, E.V.1
Vinokur, V.2
-
20
-
-
35548978326
-
-
0323-0465 10.2478/v10155-010-0086-8
-
J. Fabian, A. Matos-Abiague, C. Ertler, P. Stano, and I. Zutic, Acta Phys. Slovaca 0323-0465 10.2478/v10155-010-0086-8 57, 565 (2007).
-
(2007)
Acta Phys. Slovaca
, vol.57
, pp. 565
-
-
Fabian, J.1
Matos-Abiague, A.2
Ertler, C.3
Stano, P.4
Zutic, I.5
-
23
-
-
29644444381
-
Charge Hall effect driven by spin-dependent chemical potential gradients and Onsager relations in mesoscopic systems
-
DOI 10.1103/PhysRevB.72.155305, 155305
-
E. M. Hankiewicz, Jian Li, T. Jungwirth, Qian Niu, S.-Q. Shen, and J. Sinova, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.155305 72, 155305 (2005). (Pubitemid 43022238)
-
(2005)
Physical Review B - Condensed Matter and Materials Physics
, vol.72
, Issue.15
, pp. 1-5
-
-
Hankiewicz, E.M.1
Li, J.2
Jungwirth, T.3
Niu, Q.4
Shen, S.-Q.5
Sinova, J.6
-
24
-
-
36649002858
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.76.184434
-
W. M. Saslow, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.184434 76, 184434 (2007).
-
(2007)
Phys. Rev. B
, vol.76
, pp. 184434
-
-
Saslow, W.M.1
-
25
-
-
44349118983
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.77.134407
-
Y. Tserkovnyak and M. Mecklenburg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.134407 77, 134407 (2008).
-
(2008)
Phys. Rev. B
, vol.77
, pp. 134407
-
-
Tserkovnyak, Y.1
Mecklenburg, M.2
-
26
-
-
77954823658
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.81.024427
-
G. E. W. Bauer, S. Bretzel, A. Brataas, and Y. Tserkovnyak, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.024427 81, 024427 (2010).
-
(2010)
Phys. Rev. B
, vol.81
, pp. 024427
-
-
Bauer, G.E.W.1
Bretzel, S.2
Brataas, A.3
Tserkovnyak, Y.4
-
27
-
-
67649518137
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.256601
-
K. M. D. Hals, A. K. Nguyen, and A. Brataas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.256601 102, 256601 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 256601
-
-
Hals, K.M.D.1
Nguyen, A.K.2
Brataas, A.3
-
29
-
-
33746123419
-
Direct electronic measurement of the spin Hall effect
-
DOI 10.1038/nature04937, PII NATURE04937
-
S. O. Valenzuela and M. Tinkham, Nature (London) NATUAS 0028-0836 10.1038/nature04937 442, 176 (2006). (Pubitemid 44086560)
-
(2006)
Nature
, vol.442
, Issue.7099
, pp. 176-179
-
-
Valenzuela, S.O.1
Tinkham, M.2
-
30
-
-
33646590278
-
-
APPLAB 0003-6951 10.1063/1.2199473
-
E. Saitoh, M. Ueda, H. Miyajima, and G. Tatara, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2199473 88, 182509 (2006).
-
(2006)
Appl. Phys. Lett.
, vol.88
, pp. 182509
-
-
Saitoh, E.1
Ueda, M.2
Miyajima, H.3
Tatara, G.4
-
31
-
-
34147208607
-
Room-temperature reversible spin hall effect
-
DOI 10.1103/PhysRevLett.98.156601
-
T. Kimura, Y. Otani, T. Sato, S. Takahashi, and S. Maekawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.156601 98, 156601 (2007). (Pubitemid 46582696)
-
(2007)
Physical Review Letters
, vol.98
, Issue.15
, pp. 156601
-
-
Kimura, T.1
Otani, Y.2
Sato, T.3
Takahashi, S.4
Maekawa, S.5
-
32
-
-
38549163831
-
Giant spin hall effect in perpendicularly spin-polarized FePt/Au devices
-
DOI 10.1038/nmat2098, PII NMAT2098
-
T. Seki, Y. Hasegawa, S. Mitani, S. Takahashi, H. Imamura, S. Maekawa, J. Nitta, and K. Takanashi, Nat. Mater. 1476-1122 10.1038/nmat2098 7, 125 (2008). (Pubitemid 351161342)
-
(2008)
Nature Materials
, vol.7
, Issue.2
, pp. 125-129
-
-
Seki, T.1
Hasegawa, Y.2
Mitani, S.3
Takahashi, S.4
Imamura, H.5
Maekawa, S.6
Nitta, J.7
Takanashi, K.8
-
34
-
-
84867466350
-
-
The Onsager relation between spin Hall and inverse spin Hall effects in bulk systems with linear spin-orbit interaction are subtle, see, e.g. arXiv: 1207.1289. These subtleties, however, do not affect our discussion here, where we focus on spin and electric currents measured in external spin conserving leads.
-
The Onsager relation between spin Hall and inverse spin Hall effects in bulk systems with linear spin-orbit interaction are subtle, see, e.g., C. Gorini, R. Raimondi, and P. Schwab, arXiv: 1207.1289. These subtleties, however, do not affect our discussion here, where we focus on spin and electric currents measured in external spin conserving leads.
-
-
-
Gorini, C.1
Raimondi, R.2
Schwab, P.3
-
35
-
-
33845736081
-
Detection of current-induced spins by ferromagnetic contacts
-
DOI 10.1103/PhysRevLett.97.256601
-
I. Adagideli, G. E. W. Bauer, and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.256601 97, 256601 (2006). (Pubitemid 44974764)
-
(2006)
Physical Review Letters
, vol.97
, Issue.25
, pp. 256601
-
-
Adagideli, I.1
Bauer, G.E.W.2
Halperin, B.I.3
-
36
-
-
79960652578
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.106.206602
-
P. Stano and Ph. Jacquod, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.206602 106, 206602 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 206602
-
-
Stano, P.1
Jacquod, Ph.2
-
38
-
-
84863305978
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.85.241301
-
P. Stano, J. Fabian, and Ph. Jacquod, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.241301 85, 241301 (R) (2012).
-
(2012)
Phys. Rev. B
, vol.85
, pp. 241301
-
-
Stano, P.1
Fabian, J.2
Jacquod, Ph.3
-
39
-
-
80054934761
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
-
X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1057 83, 1057 (2011).
-
(2011)
Rev. Mod. Phys.
, vol.83
, pp. 1057
-
-
Qi, X.-L.1
Zhang, S.-C.2
-
40
-
-
57249110726
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.78.195125
-
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195125 78, 195125 (2008).
-
(2008)
Phys. Rev. B
, vol.78
, pp. 195125
-
-
Schnyder, A.P.1
Ryu, S.2
Furusaki, A.3
Ludwig, A.W.W.4
-
42
-
-
77958138382
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002
-
Y. Oreg, G. Refael, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.177002 105, 177002 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 177002
-
-
Oreg, Y.1
Refael, G.2
Von Oppen, F.3
-
43
-
-
0031500787
-
Random-matrix theory of quantum transport
-
DOI 10.1103/RevModPhys.69.731
-
C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997). (Pubitemid 127098258)
-
(1997)
Reviews of Modern Physics
, vol.69
, Issue.3
, pp. 731-808
-
-
Beenakker, C.W.J.1
-
46
-
-
33646606266
-
-
JCOMEL 0953-8984 10.1088/0953-8984/2/22/008
-
P. N. Butcher, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/2/22/008 2, 4869 (1990).
-
(1990)
J. Phys.: Condens. Matter
, vol.2
, pp. 4869
-
-
Butcher, P.N.1
-
47
-
-
33749406012
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.57.1761
-
M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 57.1761 57, 1761 (1986);
-
(1986)
Phys. Rev. Lett.
, vol.57
, pp. 1761
-
-
Büttiker, M.1
-
48
-
-
0024014552
-
-
IBMJAE 0018-8646 10.1147/rd.323.0317
-
M. Büttiker, IBM J. Res. Dev. IBMJAE 0018-8646 10.1147/rd.323.0317 32, 317 (1988).
-
(1988)
IBM J. Res. Dev.
, vol.32
, pp. 317
-
-
Büttiker, M.1
-
49
-
-
0003605397
-
-
G. Grinstein and G. Mazenko (World Scientific, Singapore
-
Y. Imry, in Directions in Condensed Matter Physics, edited by, G. Grinstein, and, G. Mazenko, (World Scientific, Singapore, 1986).
-
(1986)
Directions in Condensed Matter Physics
-
-
Imry, Y.1
-
50
-
-
27744480660
-
Symmetry of spin transport in two-terminal waveguides with a spin-orbital interaction and magnetic field modulations
-
DOI 10.1103/PhysRevLett.94.246601, 246601
-
F. Zhai and H. Q. Xu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.246601 94, 246601 (2005). (Pubitemid 41636492)
-
(2005)
Physical Review Letters
, vol.94
, Issue.24
, pp. 1-4
-
-
Zhai, F.1
Xu, H.Q.2
-
53
-
-
34547278119
-
Mesoscopic spin hall effect
-
DOI 10.1103/PhysRevLett.98.196601
-
J. H. Bardarson, I. Adagideli, and Ph. Jacquod, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.196601 98, 196601 (2007). (Pubitemid 47139517)
-
(2007)
Physical Review Letters
, vol.98
, Issue.19
, pp. 196601
-
-
Bardarson, J.H.1
Adagideli, I.2
Jacquod, Ph.3
-
54
-
-
62349105369
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.79.081302
-
Y. Dubi and M. Di Ventra, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.081302 79, 081302 (2009).
-
(2009)
Phys. Rev. B
, vol.79
, pp. 081302
-
-
Dubi, Y.1
Di Ventra, M.2
-
56
-
-
79961041713
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.83.075310
-
F. Qi, Y. Ying, and G. Jin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075310 83, 075310 (2011).
-
(2011)
Phys. Rev. B
, vol.83
, pp. 075310
-
-
Qi, F.1
Ying, Y.2
Jin, G.3
-
57
-
-
77955135012
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.105.057202
-
R. Q. Wang, L. Sheng, R. Shen, B. Wang, and D. Y. Xing, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.057202 105, 057202 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 057202
-
-
Wang, R.Q.1
Sheng, L.2
Shen, R.3
Wang, B.4
Xing, D.Y.5
-
58
-
-
53649095447
-
-
NATUAS 0028-0836 10.1038/nature07321
-
K. Uchida, S. Takahashi, K. Harii, J. Ieda, W. Koshibae, K. Ando, S. Maekawa, and E. Saitoh, Nature (London) NATUAS 0028-0836 10.1038/nature07321 455, 778 (2008).
-
(2008)
Nature (London)
, vol.455
, pp. 778
-
-
Uchida, K.1
Takahashi, S.2
Harii, K.3
Ieda, J.4
Koshibae, W.5
Ando, K.6
Maekawa, S.7
Saitoh, E.8
-
59
-
-
78149284768
-
-
1745-2473 10.1038/nphys1767
-
A. Slachter, F. L. Bakker, J.-P. Adams, and B. J. van Wees, Nat. Phys. 1745-2473 10.1038/nphys1767 6, 879 (2010).
-
(2010)
Nat. Phys.
, vol.6
, pp. 879
-
-
Slachter, A.1
Bakker, F.L.2
Adams, J.-P.3
Van Wees, B.J.4
-
60
-
-
84858142131
-
-
1748-3387 10.1038/nnano.2012.2
-
J. Flipse, F. L. Bakker, A. Slachter, F. K. Dejene, and B. J. van Wees, Nat. Nanotechnology 1748-3387 10.1038/nnano.2012.2 7, 166 (2012).
-
(2012)
Nat. Nanotechnology
, vol.7
, pp. 166
-
-
Flipse, J.1
Bakker, F.L.2
Slachter, A.3
Dejene, F.K.4
Van Wees, B.J.5
-
61
-
-
33644946854
-
Mesoscopic spin Hall effect in multiprobe ballistic spin-orbit-coupled semiconductor bridges
-
DOI 10.1103/PhysRevB.72.075361
-
B. K. Nikolić, L. P. Zĝrbo, and S. Souma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.075361 72, 075361 (2005). (Pubitemid 43406181)
-
(2005)
Physical Review B - Condensed Matter and Materials Physics
, vol.72
, Issue.7
, pp. 075361
-
-
Nikolic, B.K.1
Zgrbo, L.P.2
Souma, S.3
-
63
-
-
33947220350
-
-
edited by H. Kronmüller and Wiley, Chichester, UK, S. Parkin
-
H.-A. Engel, E. I. Rashba, and B. I. Halperin, Theory of Spin Hall Effects in Semiconductors, in Handbook of Magnetism and Advanced Magnetic Materials, edited by, H. Kronmüller, and, S. Parkin, (Wiley, Chichester, UK, 2007).
-
(2007)
Theory of Spin Hall Effects in Semiconductors
-
-
Engel, H.-A.1
Rashba, E.I.2
Halperin, B.I.3
-
64
-
-
10344244030
-
Observation of the spin hall effect in semiconductors
-
DOI 10.1126/science.1105514
-
Y. K. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Science SCIEAS 0036-8075 10.1126/science.1105514 306, 1910 (2004); (Pubitemid 39627849)
-
(2004)
Science
, vol.306
, Issue.5703
, pp. 1910-1913
-
-
Kato, Y.K.1
Myers, R.C.2
Gossard, A.C.3
Awschalom, D.D.4
-
65
-
-
18144420070
-
Experimental observation of the spin-hall effect in a two-dimensional spin-orbit coupled semiconductor system
-
DOI 10.1103/PhysRevLett.94.047204, 047204
-
J. Wunderlich, B. Kaestner, J. Sinova, and T. Jungwirth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.047204 94, 047204 (2005). (Pubitemid 40618421)
-
(2005)
Physical Review Letters
, vol.94
, Issue.4
, pp. 1-4
-
-
Wunderlich, J.1
Kaestner, B.2
Sinova, J.3
Jungwirth, T.4
-
66
-
-
0038541874
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.90.146801
-
J. Schliemann, J. C. Egues, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.146801 90, 146801 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 146801
-
-
Schliemann, J.1
Egues, J.C.2
Loss, D.3
-
69
-
-
4243402263
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.82.2927
-
S. F. Godijn, S. Möller, H. Buhmann, L. W. Molenkamp, and S. A. van Langen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2927 82, 2927 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 2927
-
-
Godijn, S.F.1
Möller, S.2
Buhmann, H.3
Molenkamp, L.W.4
Van Langen, S.A.5
-
70
-
-
82655178715
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.84.201306
-
K. Saito, G. Benenti, G. Casati, and T. Prosen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.201306 84, 201306 (R) (2011).
-
(2011)
Phys. Rev. B
, vol.84
, pp. 201306
-
-
Saito, K.1
Benenti, G.2
Casati, G.3
Prosen, T.4
-
71
-
-
82655178714
-
-
PRBMDO 1098-0121 10.1103/PhysRevB.84.201307
-
D. Sanchez and L. Serra, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.201307 84, 201307 (R) (2011).
-
(2011)
Phys. Rev. B
, vol.84
, pp. 201307
-
-
Sanchez, D.1
Serra, L.2
|