메뉴 건너뛰기




Volumn 97, Issue 5-6, 1999, Pages 917-940

Absence of transport under a slowly varying potential in disordered systems

Author keywords

Adiabatic theorem; Anderson localization; Charge transport

Indexed keywords


EID: 0033236866     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004657913118     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 0001324593 scopus 로고
    • Localization at weak disorder: Some elementary bounds
    • M. Aizenman, Localization at weak disorder: Some elementary bounds, Rev. Math. Phys. 6:1163-1182 (1994).
    • (1994) Rev. Math. Phys. , vol.6 , pp. 1163-1182
    • Aizenman, M.1
  • 2
    • 0032516668 scopus 로고    scopus 로고
    • Localization bounds for an electron gas
    • M. Aizenman and G. M. Graf, Localization bounds for an electron gas, Phys. A: Math. Gen. 31:6783-6806 (1998).
    • (1998) Phys. A: Math. Gen. , vol.31 , pp. 6783-6806
    • Aizenman, M.1    Graf, G.M.2
  • 3
    • 21344491724 scopus 로고
    • Localization at large disorder and at extreme energies: An elementary derivation
    • M. Aizenman and S. Molchanov, Localization at large disorder and at extreme energies: An elementary derivation, Commun. Math. Phys. 157:245-278 (1993).
    • (1993) Commun. Math. Phys. , vol.157 , pp. 245-278
    • Aizenman, M.1    Molchanov, S.2
  • 4
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109:1492-1505 (1958).
    • (1958) Phys. Rev. , vol.109 , pp. 1492-1505
    • Anderson, P.W.1
  • 5
    • 0033471912 scopus 로고    scopus 로고
    • Adiabatic theorem without a gap condition
    • J. E. Avron and A. Elgart, Adiabatic theorem without a gap condition, Commun. Math. Phys. 203:445-463 (1999).
    • (1999) Commun. Math. Phys. , vol.203 , pp. 445-463
    • Avron, J.E.1    Elgart, A.2
  • 6
    • 0002830401 scopus 로고
    • Adiabatic theorems and applications to the quantum hall effect
    • J. E. Avron, R. Seiler, and L. G. Yaffe, Adiabatic theorems and applications to the quantum Hall effect, Commun. Math. Phys. 110:33-49 (1987).
    • (1987) Commun. Math. Phys. , vol.110 , pp. 33-49
    • Avron, J.E.1    Seiler, R.2    Yaffe, L.G.3
  • 7
    • 21844487920 scopus 로고
    • The non-commutative geometry of the quantum hall effect
    • J. Bellissard, A. van Elst, and H. Schultz-Baldes, The non-commutative geometry of the quantum Hall effect, J. Math. Phys. 35(10):5373-5451 (1994).
    • (1994) J. Math. Phys. , vol.35 , Issue.10 , pp. 5373-5451
    • Bellissard, J.1    Van Elst, A.2    Schultz-Baldes, H.3
  • 8
    • 33847654434 scopus 로고
    • Asymptotic behaviour of eigenfunctions for multi-particle Schrödinger operators
    • J. M. Combes and L. E. Thomas, Asymptotic behaviour of eigenfunctions for multi-particle Schrödinger operators, Commun. Math. Phys. 34:251-270 (1973).
    • (1973) Commun. Math. Phys. , vol.34 , pp. 251-270
    • Combes, J.M.1    Thomas, L.E.2
  • 10
    • 0000280495 scopus 로고    scopus 로고
    • Operators with singular continuous spectrum, iV. Hausdorff dimensions, rank one perturbations, and localization
    • R. del Rio, S. Jitomirskaya, Y. Last, and B. Simon, Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization, J. Anal. Math. 69:153-200 (1996).
    • (1996) J. Anal. Math. , vol.69 , pp. 153-200
    • Del Rio, R.1    Jitomirskaya, S.2    Last, Y.3    Simon, B.4
  • 11
    • 0000284780 scopus 로고
    • Absence of diffusion in the Anderson tight binding model for large disorder or low energy
    • J. Fröhlich and T. Spencer, Absence of diffusion in the Anderson tight binding model for large disorder or low energy, Commun. Math. Phys. 88:151-184 (1983).
    • (1983) Commun. Math. Phys. , vol.88 , pp. 151-184
    • Fröhlich, J.1    Spencer, T.2
  • 12
    • 0000321758 scopus 로고
    • On the adiabatic theorem of quantum mechanics
    • T. Kato, On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Jpn. 5:435-439 (1950).
    • (1950) J. Phys. Soc. Jpn. , vol.5 , pp. 435-439
    • Kato, T.1
  • 13
    • 0009201081 scopus 로고
    • Power-low corrections to the Kubo formula vanish in quantum hall systems
    • M. Klein and R. Seiler, Power-low corrections to the Kubo formula vanish in quantum Hall systems, Commun. Math. Phys. 128:141-160 (1990).
    • (1990) Commun. Math. Phys. , vol.128 , pp. 141-160
    • Klein, M.1    Seiler, R.2
  • 14
    • 0009207124 scopus 로고
    • Quantum adiabatic particle transport
    • Q. Niu, Quantum adiabatic particle transport. Phys. Rev. B 34:5093 (1986).
    • (1986) Phys. Rev. B , vol.34 , pp. 5093
    • Niu, Q.1
  • 15
    • 0001456315 scopus 로고
    • Towards a quantum pump of electric charge
    • Q. Niu, Towards a quantum pump of electric charge, Phys. Rev. Lett. 64:1812 (1990).
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1812
    • Niu, Q.1
  • 16
    • 0001593798 scopus 로고
    • Quantized adiabatic charge transport in the presence of disorder and many-body interaction
    • Q. Niu and D. J. Thouless, Quantized adiabatic charge transport in the presence of disorder and many-body interaction, J. Phys. A: Math. Gen. 17:2453-2462 (1984).
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 2453-2462
    • Niu, Q.1    Thouless, D.J.2
  • 19
    • 0032092299 scopus 로고    scopus 로고
    • A kinetic theory for quantum transport in aperiodic media
    • H. Schultz-Baldes and J. Bellissard, A kinetic theory for quantum transport in aperiodic media, J. Stat. Phys. 91:991-1026 (1998).
    • (1998) J. Stat. Phys. , vol.91 , pp. 991-1026
    • Schultz-Baldes, H.1    Bellissard, J.2
  • 20
    • 84990576488 scopus 로고
    • Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
    • B. Simon and T. Wolff, Singular continuous spectrum under rank one perturbations and localization for random hamiltonians, Commun. Pure. Appl. Math. 39:75-90 (1986).
    • (1986) Commun. Pure. Appl. Math. , vol.39 , pp. 75-90
    • Simon, B.1    Wolff, T.2
  • 21
    • 33644561837 scopus 로고
    • Quantization of particle transport
    • D. J. Thouless, Quantization of particle transport, Phys. Ret. B 27:6083 (1983).
    • (1983) Phys. Ret. B , vol.27 , pp. 6083
    • Thouless, D.J.1
  • 22
    • 34249966896 scopus 로고
    • A new proof of localization in the Anderson tight binding model
    • H. von Dreifus and A. Krein, A new proof of localization in the Anderson tight binding model, Commun. Math. Phys. 124:285-299 (1994).
    • (1994) Commun. Math. Phys. , vol.124 , pp. 285-299
    • Von Dreifus, H.1    Krein, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.