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Volumn 112, Issue 16, 2014, Pages

Field induced positional shift of bloch electrons and its dynamical implications

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; PHYSICS;

EID: 84899548324     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.166601     Document Type: Article
Times cited : (394)

References (38)
  • 1
    • 42949155658 scopus 로고    scopus 로고
    • Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields
    • DOI 10.1088/0953-8984/20/19/193202, PII S0953898408493608
    • M.-C. Chang and Q. Niu, J. Phys. Condens. Matter 20, 193202 (2008). JCOMEL 0953-8984 10.1088/0953-8984/20/19/193202 (Pubitemid 351606206)
    • (2008) Journal of Physics Condensed Matter , vol.20 , Issue.19 , pp. 193202
    • Chang, M.-C.1    Niu, Q.2
  • 2
    • 33244490064 scopus 로고    scopus 로고
    • Berry phase correction to electron density of states in solids
    • DOI 10.1103/PhysRevLett.95.137204
    • D. Xiao, J. Shi, and Q. Niu, Phys. Rev. Lett. 95, 137204 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.137204 (Pubitemid 43272649)
    • (2005) Physical Review Letters , vol.95 , Issue.13 , pp. 137204
    • Xiao, D.1    Shi, J.2    Niu, Q.3
  • 3
    • 11744314681 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.44.5239
    • R.G. Littlejohn and W.G. Flynn, Phys. Rev. A 44, 5239 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.44.5239
    • (1991) Phys. Rev. A , vol.44 , pp. 5239
    • Littlejohn, R.G.1    Flynn, W.G.2
  • 4
    • 77956143840 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.1959
    • D. Xiao, M.-C. Chang, and Q. Niu, Rev. Mod. Phys. 82, 1959 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.1959
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 1959
    • Xiao, D.1    Chang, M.-C.2    Niu, Q.3
  • 5
    • 0000952833 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.59.14915
    • G. Sundaram and Q. Niu, Phys. Rev. B 59, 14915 (1999). PRBMDO 0163-1829 10.1103/PhysRevB.59.14915
    • (1999) Phys. Rev. B , vol.59 , pp. 14915
    • Sundaram, G.1    Niu, Q.2
  • 6
    • 0001428945 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.75.1348
    • M.-C. Chang and Q. Niu, Phys. Rev. Lett. 75, 1348 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.1348
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1348
    • Chang, M.-C.1    Niu, Q.2
  • 7
    • 0001191729 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.126.1636
    • E.I. Blount, Phys. Rev. 126, 1636 (1962). PHRVAO 0031-899X 10.1103/PhysRev.126.1636
    • (1962) Phys. Rev. , vol.126 , pp. 1636
    • Blount, E.I.1
  • 8
    • 84899519300 scopus 로고    scopus 로고
    • Blount systematically classified the contribution to the effective Hamiltonian Eq. [I.(30)] in Ref. [7]. However, the effective Hamiltonian is gauge dependent since the third term (Equation presented) depends on the gauge choice, while all the other terms are gauge invariant.
    • Blount systematically classified the contribution to the effective Hamiltonian Eq. [I.(30)] in Ref. [7]. However, the effective Hamiltonian is gauge dependent since the third term (Equation presented) depends on the gauge choice, while all the other terms are gauge invariant.
  • 9
    • 33847795859 scopus 로고    scopus 로고
    • Topological insulators in three dimensions
    • DOI 10.1103/PhysRevLett.98.106803
    • L. Fu, C.L. Kane, and E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 (Pubitemid 46393379)
    • (2007) Physical Review Letters , vol.98 , Issue.10 , pp. 106803
    • Fu, L.1    Kane, C.L.2    Mele, E.J.3
  • 10
    • 57249108445 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
    • X.-L. Qi, T.L. Hughes, and S.-C. Zhang, Phys. Rev. B 78, 195424 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
    • (2008) Phys. Rev. B , vol.78 , pp. 195424
    • Qi, X.-L.1    Hughes, T.L.2    Zhang, S.-C.3
  • 11
    • 33947696243 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
    • J.E. Moore and L. Balents, Phys. Rev. B 75, 121306(R) (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
    • (2007) Phys. Rev. B , vol.75
    • Moore, J.E.1    Balents, L.2
  • 12
    • 67649407761 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.195322
    • R. Roy, Phys. Rev. B 79, 195322 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.195322
    • (2009) Phys. Rev. B , vol.79 , pp. 195322
    • Roy, R.1
  • 13
    • 65549133453 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805
    • A.M. Essin, J.E. Moore, and D. Vanderbilt, Phys. Rev. Lett. 102, 146805 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.146805
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 146805
    • Essin, A.M.1    Moore, J.E.2    Vanderbilt, D.3
  • 15
    • 84899556992 scopus 로고    scopus 로고
    • See Supplemental Material at for construction of a proper wave packet state, the derivation of the semiclassical dynamics, the realization of the cross-gap magneto electric polarization in a 2D system, and the derivation of the nonlinear anomalous Hall current.
    • See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.166601 for construction of a proper wave packet state, the derivation of the semiclassical dynamics, the realization of the cross-gap magneto electric polarization in a 2D system, and the derivation of the nonlinear anomalous Hall current.
  • 16
    • 4243233467 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.65.1697
    • J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65, 1697 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.65.1697
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1697
    • Anandan, J.1    Aharonov, Y.2
  • 17
    • 84879026075 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.87.245103
    • T. Neupert, C. Chamon, and C. Mudry, Phys. Rev. B 87, 245103 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.245103
    • (2013) Phys. Rev. B , vol.87 , pp. 245103
    • Neupert, T.1    Chamon, C.2    Mudry, C.3
  • 18
    • 3543103556 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.47.1651
    • R.D. King-Smith and D. Vanderbilt, Phys. Rev. B 47, 1651 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.47.1651
    • (1993) Phys. Rev. B , vol.47 , pp. 1651
    • King-Smith, R.D.1    Vanderbilt, D.2
  • 19
    • 12044256522 scopus 로고
    • Macroscopic polarization in crystalline dielectrics: The geometric phase approach
    • DOI 10.1103/RevModPhys.66.899
    • R. Resta, Rev. Mod. Phys. 66, 899 (1994). RMPHAT 0034-6861 10.1103/RevModPhys.66.899 (Pubitemid 24821630)
    • (1994) Reviews of Modern Physics , vol.66 , Issue.3 , pp. 899
    • Resta, R.1
  • 20
    • 78349239882 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
    • M.Z. Hasan and C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 3045
    • Hasan, M.Z.1    Kane, C.L.2
  • 21
    • 80054934761 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
    • X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
    • (2011) Rev. Mod. Phys. , vol.83 , pp. 1057
    • Qi, X.-L.1    Zhang, S.-C.2
  • 22
    • 77954827655 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.81.045120
    • P. Hosur, S. Ryu, and A. Vishwanath, Phys. Rev. B 81, 045120 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.045120
    • (2010) Phys. Rev. B , vol.81 , pp. 045120
    • Hosur, P.1    Ryu, S.2    Vishwanath, A.3
  • 23
    • 79961239559 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.245132
    • T.L. Hughes, E. Prodan, and B.A. Bernevig, Phys. Rev. B 83, 245132 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.245132
    • (2011) Phys. Rev. B , vol.83 , pp. 245132
    • Hughes, T.L.1    Prodan, E.2    Bernevig, B.A.3
  • 24
    • 33847795859 scopus 로고    scopus 로고
    • Topological insulators in three dimensions
    • DOI 10.1103/PhysRevLett.98.106803
    • L. Fu, C.L. Kane, and E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 (Pubitemid 46393379)
    • (2007) Physical Review Letters , vol.98 , Issue.10 , pp. 106803
    • Fu, L.1    Kane, C.L.2    Mele, E.J.3
  • 25
    • 84866385973 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.86.115112
    • C. Fang, M.J. Gilbert, and B.A. Bernevig, Phys. Rev. B 86, 115112 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115112
    • (2012) Phys. Rev. B , vol.86 , pp. 115112
    • Fang, C.1    Gilbert, M.J.2    Bernevig, B.A.3
  • 26
    • 84874122987 scopus 로고    scopus 로고
    • JPAMB5 1751-8113 10.1088/1751-8113/46/8/085205
    • B. Leung and E. Prodan, J. Phys. A 46, 085205 (2013). JPAMB5 1751-8113 10.1088/1751-8113/46/8/085205
    • (2013) J. Phys. A , vol.46 , pp. 085205
    • Leung, B.1    Prodan, E.2
  • 27
    • 61549101823 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.087602
    • D. Xiao, J. Shi, D.P. Clougherty, and Q. Niu, Phys. Rev. Lett. 102, 087602 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.087602
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 087602
    • Xiao, D.1    Shi, J.2    Clougherty, D.P.3    Niu, Q.4
  • 29
    • 77957563993 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.113303
    • P. Středa and T. Jonckheere, Phys. Rev. B 82, 113303 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.113303
    • (2010) Phys. Rev. B , vol.82 , pp. 113303
    • Středa, P.1    Jonckheere, T.2
  • 30
    • 77956661744 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.82.045115
    • P. Středa, Phys. Rev. B 82, 045115 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.045115
    • (2010) Phys. Rev. B , vol.82 , pp. 045115
    • Středa, P.1
  • 31
    • 0037141517 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.207208
    • T. Jungwirth, Q. Niu, and A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.207208
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 207208
    • Jungwirth, T.1    Niu, Q.2    Macdonald, A.H.3
  • 32
    • 0036304694 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.71.19
    • M. Onoda and N. Nagaosa, J. Phys. Soc. Jpn. 71, 19 (2002). JUPSAU 0031-9015 10.1143/JPSJ.71.19
    • (2002) J. Phys. Soc. Jpn. , vol.71 , pp. 19
    • Onoda, M.1    Nagaosa, N.2
  • 33
    • 0014537942 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.183.586
    • R.C. Fivaz, Phys. Rev. 183, 586 (1969). PHRVAO 0031-899X 10.1103/PhysRev.183.586
    • (1969) Phys. Rev. , vol.183 , pp. 586
    • Fivaz, R.C.1
  • 34
    • 36149024918 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.95.1154
    • R. Karplus and J.M. Luttinger, Phys. Rev. 95, 1154 (1954). PHRVAO 0031-899X 10.1103/PhysRev.95.1154
    • (1954) Phys. Rev. , vol.95 , pp. 1154
    • Karplus, R.1    Luttinger, J.M.2
  • 37
    • 84860752361 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.108.196802
    • D. Xiao, G.-B. Liu, W. Feng, X. Xu, and W. Yao, Phys. Rev. Lett. 108, 196802 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.196802
    • (2012) Phys. Rev. Lett. , vol.108 , pp. 196802
    • Xiao, D.1    Liu, G.-B.2    Feng, W.3    Xu, X.4    Yao, W.5
  • 38
    • 36849027178 scopus 로고    scopus 로고
    • Valley-contrasting physics in graphene: Magnetic moment and topological transport
    • DOI 10.1103/PhysRevLett.99.236809
    • D. Xiao, W. Yao, and Q. Niu, Phys. Rev. Lett. 99, 236809 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.236809 (Pubitemid 350231930)
    • (2007) Physical Review Letters , vol.99 , Issue.23 , pp. 236809
    • Xiao, D.1    Yao, W.2    Niu, Q.3


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