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Volumn 146, Issue 2, 2009, Pages 331-360

Lifshitz tails and localization in the three-dimensional anderson model

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EID: 77954018993     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/00127094-2008-068     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 0001324593 scopus 로고
    • Localization at weak disorder: Some elementary bounds
    • M. Aizenman, Localization at weak disorder: Some elementary bounds, Rev. Math. Phys. 6 (1994), 1163-1182.
    • (1994) Rev. Math. Phys. , vol.6 , pp. 1163-1182
    • Aizenman, M.1
  • 2
    • 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, Comm. Math. Phys. 157 (1993), 245-278.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 245-278
    • Aizenman, M.1    Molchanov, S.2
  • 4
    • 24644480929 scopus 로고    scopus 로고
    • Localization lengths and Boltzmann limit for the Anderson model at small disorders in dimension 3
    • T. Chen, Localization lengths and Boltzmann limit for the Anderson model at small disorders in dimension 3, J. Stat. Phys. 120 (2005), 279-337.
    • (2005) J. Stat. Phys. , vol.120 , pp. 279-337
    • Chen, T.1
  • 6
    • 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 (1996), 153-200.
    • (1996) J. Anal. Math. , vol.69 , pp. 153-200
    • Del Rio, R.1    Jitomirskaya, S.2    Last, Y.3    Simon, B.4
  • 7
    • 0034418177 scopus 로고    scopus 로고
    • Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
    • L. Erdo{double acute}s and H.-T. Yau, Linear Boltzmann equation as the weak coupling limit of a random Schr̈odinger equation, Comm. Pure Appl. Math. 53 (2000), 667-735.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 667-735
    • Erdós, L.1    Yau, H.-T.2
  • 9
    • 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, Comm. Math. Phys. 88 (1983), 151-184.
    • (1983) Comm. Math. Phys. , vol.88 , pp. 151-184
    • Fröhlich, J.1    Spencer, T.2
  • 10
    • 1842494985 scopus 로고
    • Asymptotic form of the lattice Green's function of the simple cubic lattice
    • S. Katsura and S. Inawashiro, Asymptotic form of the lattice Green's function of the simple cubic lattice, Progr. Theoret. Phys. 50 (1973), 82-94.
    • (1973) Progr. Theoret. Phys. , vol.50 , pp. 82-94
    • Katsura, S.1    Inawashiro, S.2
  • 11
    • 0036882746 scopus 로고    scopus 로고
    • Weak disorder localization and Lifshitz tails
    • F. Klopp, Weak disorder localization and Lifshitz tails, Comm. Math. Phys. 232 (2002), 125-155.
    • (2002) Comm. Math. Phys. , vol.232 , pp. 125-155
    • Klopp, F.1
  • 12
    • 77954007271 scopus 로고
    • Conductivity in Anderson-type models: A comparative study of critical disorder
    • E. Kolley and W. Kolley, Conductivity in Anderson-type models: A comparative study of critical disorder, J.Phys.C21 (1988), 6099 - 6109.
    • (1988) J. Phys. C , vol.21 , pp. 6099-6109
    • Kolley, E.1    Kolley, W.2
  • 14
    • 0001156581 scopus 로고
    • Energy spectrum structure and quantum states of disordered condensed systems
    • I. M. Lifshitz, Energy spectrum structure and quantum states of disordered condensed systems, Soviet Physics Uspekhi 7 (1965), 549-573.
    • (1965) Soviet Physics Uspekhi , vol.7 , pp. 549-573
    • Lifshitz, I.M.1
  • 15
    • 0000382274 scopus 로고
    • Theory of fluctuations in disordered systems
    • I. M. Lifshitz, Theory of fluctuations in disordered systems, Sov. Phys. JETP 26 (1968), 462-469.
    • (1968) Sov. Phys. JETP , vol.26 , pp. 462-469
    • Lifshitz, I.M.1
  • 16
    • 0030553788 scopus 로고    scopus 로고
    • Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
    • N. Minami, Local fluctuation of the spectrum of a multidimensional Anderson tight binding model, Comm. Math. Phys. 177 (1996), 709-725.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 709-725
    • Minami, N.1
  • 17
    • 23544443172 scopus 로고
    • Localization in three-dimensional systems by a Gaussian random potential
    • C. M. Soukoulis, A. D. Zdetsis, and E. N. Economou, Localization in three-dimensional systems by a Gaussian random potential, Phys. Rev. B 34 (1986), 2253-2257.
    • (1986) Phys. Rev. B , vol.34 , pp. 2253-2257
    • Soukoulis, C.M.1    Zdetsis, A.D.2    Economou, E.N.3
  • 19
    • 0003203493 scopus 로고    scopus 로고
    • Caught by Disorder: Bound States in Random Media
    • Birkhäuser, Boston
    • P. Stollmann, Caught by Disorder: Bound States in Random Media, Prog. Math. Phys. 20, Birkhäuser, Boston, 2001.
    • (2001) Prog. Math. Phys. , vol.20
    • Stollmann, P.1
  • 20
    • 0035629873 scopus 로고    scopus 로고
    • Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder
    • W.-M. Wang, Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder, Invent. Math. 146 (2001), 365-398.
    • (2001) Invent. Math. , vol.146 , pp. 365-398
    • Wang, W.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.