The Anderson model as a matrix model

Nuclear Physics B - Proceedings Supplements

Volumn 58, Issue 1-3, 1997, Pages 149-162

  Magnen, J ^a   Poirot, G ^a   Rivasseau, V ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031231928     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(97)00420-9     Document Type: Article

References (17)

1. [A] M. Aizenman, Localization at Weak Disorder: Some Elementary Bounds, in The State of Matter, edited by M. Aizenman and H. Araki, World Scientific 1994.
2. [AM] M. Aizenman and S. Molchanov, Localization at large disorder and at extreme energies: an elementary derivation. Commun. Math. Phys. 157, 245 (1993).
3. 4, Commun. Math. Phys. 82, 69 (1981).
4. [DLS] F. Delyon, Y. Lévy and B. Souillard, Commun. Math. Phys 100, 463-470 (1985).
5. [FMSS] J. Fröhlich, F. Martinelli, E. Scoppola and T. Spencer, Commun. Math. Phys. 101, 21-46 (1985).
6. [FS] 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).
7. [FT] J. Feldman and E. Trubowitz, The Flow of an Electron-Phonon System to the Superconducting State, Helvetica Physica Acta 64 214-357 (1991).
8. [FMRT1] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, A Rigorous Analysis of the Superconducting Phase of an Electron-Phonon System, Proceedings of Les Houches Summer school 1994 (F. David, P. Ginsparg eds).
9. [FMRT2] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, An Infinite Volume Expansion for Many Fermion Green's functions, Helv. Phys. Acta, Vol. 65, 679 (1992).
10. [FMRT3] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, An Intrinsic 1/N Expansion for Many Fermion Systems, Europhys. Letters 24, 437 (1993).
11. [FMRT4] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, Two Dimensional Many Fermion Systems as Vector Models, Europhys. Letters 24, 521 (1993).
12. [K] A. Klein, Absolutely continuous spectrum in the Anderson model on the Bethe lattice, Mathematical Research Letters 1, 399-407 (1994).
13. [MPR] J. Magnen, G. Poirot and V. Rivasseau, in preparation.
14. [P] G. Poirot, "A Single Slice 2d Anderson Model at Weak Disorder, preprint condmat/9605140.
15. [R] V. Rivasseau, Cluster expansions with large/small field conditions, Vancouver summer school 1993, CRM Proceedings volume 7, 1994.
16. [S] T. Spencer, The Schrödinger equation with a random potential, a mathematical review, in Critical Phenomena, Random Systems, Gauge Theories, Les Houches XLIII, ed. by K. Osterwalder and R. Stora.
17. [V] D. Voiculescu, Limit Laws for Random Matrices and Free Products, Invent. Math. 104 201-220 (1991).