메뉴 건너뛰기




Volumn 96, Issue 7, 2006, Pages

Proper definition of spin current in spin-orbit coupled systems

Author keywords

[No Author keywords available]

Indexed keywords

SPIN CURRENT; SPIN-ORBIT COUPLED SYSTEMS; TRANSPORT THEORY;

EID: 33644531864     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.076604     Document Type: Article
Times cited : (433)

References (27)
  • 1
    • 0032573499 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.282.5394.1660
    • G.A. Prinz, Science 282, 1660 (1998); SCIEAS 0036-8075 10.1126/science.282.5394.1660
    • (1998) Science , vol.282 , pp. 1660
    • Prinz, G.A.1
  • 2
    • 0035900398 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1065389
    • S.A. Wolf, Science 294, 1488 (2001). SCIEAS 0036-8075 10.1126/science.1065389
    • (2001) Science , vol.294 , pp. 1488
    • Wolf, S.A.1
  • 3
    • 2942610744 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.76.323
    • I. Žutić, J. Fabian, and S.D. Sarma, Rev. Mod. Phys. 76, 323 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.323
    • (2004) Rev. Mod. Phys. , vol.76 , pp. 323
    • Žutić, I.1    Fabian, J.2    Sarma, S.D.3
  • 4
    • 0000299162 scopus 로고
    • JTPHES 1063-7761
    • M.I. Dyakonov and V.I. Perel, JETP 33, 1053 (1971). JTPHES 1063-7761
    • (1971) JETP , vol.33 , pp. 1053
    • Dyakonov, M.I.1    Perel, V.I.2
  • 5
    • 4243471288 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.83.1834
    • J.E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.1834
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 1834
    • Hirsch, J.E.1
  • 6
    • 3042802951 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.393
    • S. Zhang, Phys. Rev. Lett. 85, 393 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.393
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 393
    • Zhang, S.1
  • 7
    • 0042972936 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1087128
    • S. Murakami, N. Nagaosa, and S.C. Zhang, Science 301, 1348 (2003). SCIEAS 0036-8075 10.1126/science.1087128
    • (2003) Science , vol.301 , pp. 1348
    • Murakami, S.1    Nagaosa, N.2    Zhang, S.C.3
  • 8
    • 2342575465 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.92.126603
    • J. Sinova, Phys. Rev. Lett. 92, 126603 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.126603
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 126603
    • Sinova, J.1
  • 9
    • 10344244030 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1105514
    • Y.K. Kato, Science 306, 1910 (2004). SCIEAS 0036-8075 10.1126/science.1105514
    • (2004) Science , vol.306 , pp. 1910
    • Kato, Y.K.1
  • 12
    • 37649030863 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.69.235206
    • S. Murakami, N. Nagaosa, and S.-C. Zhang, Phys. Rev. B PRBMDO 0163-1829 69, 235206 (2004). 10.1103/PhysRevB.69.235206
    • (2004) Phys. Rev. B , vol.69 , pp. 235206
    • Murakami, S.1    Nagaosa, N.2    Zhang, S.-C.3
  • 13
    • 18144411280 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.066602
    • S. Zhang and Z. Yang, Phys. Rev. Lett. 94, 066602 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.066602
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 066602
    • Zhang, S.1    Yang, Z.2
  • 14
    • 84856124927 scopus 로고    scopus 로고
    • in reaching their conclusion Eq.(17), they made an implicit assumption that kλ|[rs,H]|kλ=0. However, because |kλ is an extended state, this relation is in general not valid. We further note that kλ|[r,H]|kλ0 is why we can see nonvanishing conductivity in metals.
    • in reaching their conclusion Eq.(17), they made an implicit assumption that kλ|[rs,H]|kλ=0. However, because |kλ is an extended state, this relation is in general not valid. We further note that kλ|[r,H]|kλ 0 is why we can see nonvanishing conductivity in metals.
  • 15
    • 1042299907 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.68.241315
    • E.I. Rashba, Phys. Rev. B PRBMDO 0163-1829 68, 241315(R) (2003); 10.1103/PhysRevB.68.241315
    • (2003) Phys. Rev. B , vol.68
    • Rashba, E.I.1
  • 16
    • 84856129722 scopus 로고    scopus 로고
    • actually υ^xσ^y-υ^yσx=-(/m)[E(αR)/αR]- 2αR is nonzero even in the presence of a confinement potential.
    • actually υ^xσ^y-υ^yσx=-(/m)[E(αR)/αR]- 2αR is nonzero even in the presence of a confinement potential.
  • 17
    • 4344579352 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.046602
    • D. Culcer, Phys. Rev. Lett. 93, 046602 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.046602
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 046602
    • Culcer, D.1
  • 18
    • 42749107930 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.69.165315
    • J. Schliemann and D. Loss, Phys. Rev. B PRBMDO 0163-1829 69, 165315 (2004); 10.1103/PhysRevB.69.165315
    • (2004) Phys. Rev. B , vol.69 , pp. 165315
    • Schliemann, J.1    Loss, D.2
  • 19
    • 16444381421 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.71.085308
    • J. Schliemann D. Loss Phys. Rev. B PRBMDO 0163-1829 71, 085308 (2005). 10.1103/PhysRevB.71.085308
    • (2005) Phys. Rev. B , vol.71 , pp. 085308
    • Schliemann, J.1    Loss, D.2
  • 20
    • 0037060205 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.066603
    • I. Žutić, J. Fabian, and S. Das Sarma, Phys. Rev. Lett. 88, 066603 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.066603
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 066603
    • Žutić, I.1    Fabian, J.2    Das Sarma, S.3
  • 21
    • 0038511498 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.66.165301
    • J. Fabian, I. Žutić, and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 66, 165301 (2002). 10.1103/PhysRevB.66.165301
    • (2002) Phys. Rev. B , vol.66 , pp. 165301
    • Fabian, J.1    Žutić, I.2    Das Sarma, S.3
  • 22
    • 33644536474 scopus 로고    scopus 로고
    • cond-mat/0406436 (unpublished).
    • P. Zhang and Q. Niu, cond-mat/0406436 (unpublished).
    • Zhang, P.1    Niu, Q.2
  • 23
    • 36149003004 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.17.343
    • H.B. Casimir, Rev. Mod. Phys. 17, 343 (1945). RMPHAT 0034-6861 10.1103/RevModPhys.17.343
    • (1945) Rev. Mod. Phys. , vol.17 , pp. 343
    • Casimir, H.B.1
  • 25
    • 33644523464 scopus 로고    scopus 로고
    • cond-mat/0503475. The calculation of the spin-Hall coefficients for a number of semiconductor models in the clean limit was first carried out by us (see cond-mat/0503505, v.4). The dramatically different results were also found.
    • N. Sugimoto, S. Onoda, S. Murakami, and N. Nagaosa, cond-mat/0503475. The calculation of the spin-Hall coefficients for a number of semiconductor models in the clean limit was first carried out by us (see cond-mat/0503505, v.4). The dramatically different results were also found.
    • Sugimoto, N.1    Onoda, S.2    Murakami, S.3    Nagaosa, N.4
  • 27
    • 29644437310 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.72.241303
    • Wang-Kong Tse, J. Fabian, I. Zutic, and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 72, 241303 (2005). 10.1103/PhysRevB.72.241303
    • (2005) Phys. Rev. B , vol.72 , pp. 241303
    • Tse, W.1    Fabian, J.2    Zutic, I.3    Das Sarma, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.