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Volumn 82, Issue 19, 2010, Pages

Non-Abelian gauge fields in the gradient expansion: Generalized Boltzmann and Eilenberger equations

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EID: 78649743552     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.195316     Document Type: Article
Times cited : (105)

References (59)
  • 5
    • 43049145018 scopus 로고    scopus 로고
    • 10.1088/0953-8984/20/02/023201
    • N. A. Sinitsyn, J. Phys.: Condens. Matter 20, 023201 (2008). 10.1088/0953-8984/20/02/023201
    • (2008) J. Phys.: Condens. Matter , vol.20 , pp. 023201
    • Sinitsyn, N.A.1
  • 8
    • 33144481534 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.96.056602
    • A. Khaetskii, Phys. Rev. Lett. 96, 056602 (2006). 10.1103/PhysRevLett.96. 056602
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 056602
    • Khaetskii, A.1
  • 9
    • 34247358235 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.75.155323
    • M. Trushin and J. Schliemann, Phys. Rev. B 75, 155323 (2007). 10.1103/PhysRevB.75.155323
    • (2007) Phys. Rev. B , vol.75 , pp. 155323
    • Trushin, M.1    Schliemann, J.2
  • 14
    • 0000952833 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.59.14915
    • G. Sundaram and Q. Niu, Phys. Rev. B 59, 14915 (1999). 10.1103/PhysRevB.59.14915
    • (1999) Phys. Rev. B , vol.59 , pp. 14915
    • Sundaram, G.1    Niu, Q.2
  • 16
    • 0001306741 scopus 로고
    • 10.1103/PhysRevLett.68.2964
    • H. Mathur and A. D. Stone, Phys. Rev. Lett. 68, 2964 (1992). 10.1103/PhysRevLett.68.2964
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 2964
    • Mathur, H.1    Stone, A.D.2
  • 21
    • 51649124306 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.106601
    • I. V. Tokatly, Phys. Rev. Lett. 101, 106601 (2008). 10.1103/PhysRevLett. 101.106601
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 106601
    • Tokatly, I.V.1
  • 22
    • 77951295883 scopus 로고    scopus 로고
    • 10.1016/j.aop.2010.01.007
    • I. V. Tokatly and E. Y. Sherman, Ann. Phys. 325, 1104 (2010). 10.1016/j.aop.2010.01.007
    • (2010) Ann. Phys. , vol.325 , pp. 1104
    • Tokatly, I.V.1    Sherman, E.Y.2
  • 31
    • 78649726056 scopus 로고    scopus 로고
    • In this case the Hamiltonian can be written introducing SU (4) -rather than SU (2) -gauge fields
    • In this case the Hamiltonian can be written introducing S U (4) -rather than S U (2) -gauge fields.
  • 34
    • 38049138394 scopus 로고    scopus 로고
    • A similar approach in a somewhat different context was pursued in, 10.1103/PhysRevB.77.035110
    • A similar approach in a somewhat different context was pursued in R. Shindou and L. Balents, Phys. Rev. B 77, 035110 (2008). 10.1103/PhysRevB.77. 035110
    • (2008) Phys. Rev. B , vol.77 , pp. 035110
    • Shindou, R.1    Balents, L.2
  • 35
    • 35949022751 scopus 로고
    • 10.1103/RevModPhys.58.323
    • J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986). 10.1103/RevModPhys.58.323
    • (1986) Rev. Mod. Phys. , vol.58 , pp. 323
    • Rammer, J.1    Smith, H.2
  • 36
    • 0000799869 scopus 로고
    • 10.1103/PhysRev.134.A566
    • R. E. Prange and L. P. Kadanoff, Phys. Rev. 134, A566 (1964). 10.1103/PhysRev.134.A566
    • (1964) Phys. Rev. , vol.134 , pp. 566
    • Prange, R.E.1    Kadanoff, L.P.2
  • 37
    • 0242667073 scopus 로고    scopus 로고
    • 10.1002/andp.200310024
    • P. Schwab and R. Raimondi, Ann. Phys. 12, 471 (2003). 10.1002/andp.200310024
    • (2003) Ann. Phys. , vol.12 , pp. 471
    • Schwab, P.1    Raimondi, R.2
  • 38
    • 0542432506 scopus 로고
    • 10.1103/PhysRev.148.707
    • D. C. Langreth, Phys. Rev. 148, 707 (1966). 10.1103/PhysRev.148.707
    • (1966) Phys. Rev. , vol.148 , pp. 707
    • Langreth, D.C.1
  • 41
    • 78649730001 scopus 로고    scopus 로고
    • Since the gauge-transformation properties do not depend on the choice of Γ, Γ⊃′, we pick the simplest curve
    • Since the gauge-transformation properties do not depend on the choice of Γ, Γ ⊃′, we pick the simplest curve.
  • 42
    • 78649721570 scopus 로고    scopus 로고
    • note
    • 2 are those that produce spin-charge coupling-and thus lead to, say, the spin Hall effect or the anomalous Hall effect.
  • 43
    • 28244436622 scopus 로고
    • 10.1016/0375-9601(71)90196-4
    • M. I. Dyakonov and V. I. Perel, Phys. Lett. 35A, 459 (1971). 10.1016/0375-9601(71)90196-4
    • (1971) Phys. Lett. , vol.35 , pp. 459
    • Dyakonov, M.I.1    Perel, V.I.2
  • 44
    • 4243471288 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.83.1834
    • J. E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999). 10.1103/PhysRevLett.83. 1834
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 1834
    • Hirsch, J.E.1
  • 45
  • 47
  • 48
    • 77954748410 scopus 로고    scopus 로고
    • 10.1209/0295-5075/87/37008
    • R. Raimondi and P. Schwab, EPL 87, 37008 (2009). 10.1209/0295-5075/87/ 37008
    • (2009) EPL , vol.87 , pp. 37008
    • Raimondi, R.1    Schwab, P.2
  • 53
    • 70749116895 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.80.134511
    • M. Eschrig, Phys. Rev. B 80, 134511 (2009). 10.1103/PhysRevB.80.134511
    • (2009) Phys. Rev. B , vol.80 , pp. 134511
    • Eschrig, M.1
  • 55
    • 49149106670 scopus 로고    scopus 로고
    • 10.1209/0295-5075/82/67005
    • M. Milletarì, R. Raimondi, and P. Schwab, EPL 82, 67005 (2008). 10.1209/0295-5075/82/67005
    • (2008) EPL , vol.82 , pp. 67005
    • Milletarì, M.1    Raimondi, R.2    Schwab, P.3
  • 56
    • 78649736450 scopus 로고    scopus 로고
    • note
    • Notice that the above does not agree with the results found in Ref., though the discrepancy is no surprise: in Ref. a different model of disorder was used, one in which the dependence of the scattering amplitude on the modulus of the momentum was neglected.
  • 58
    • 28244463451 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.71.245318
    • O. Chalaev and D. Loss, Phys. Rev. B 71, 245318 (2005). 10.1103/PhysRevB.71.245318
    • (2005) Phys. Rev. B , vol.71 , pp. 245318
    • Chalaev, O.1    Loss, D.2
  • 59
    • 68949086786 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.80.035305
    • O. Chalaev and D. Loss, Phys. Rev. B 80, 035305 (2009). 10.1103/PhysRevB.80.035305
    • (2009) Phys. Rev. B , vol.80 , pp. 035305
    • Chalaev, O.1    Loss, D.2


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