Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off

Gilles Poirot

Annales de l'I.H.P. Physique théorique (1999)

  • Volume: 70, Issue: 1, page 101-146
  • ISSN: 0246-0211

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Poirot, Gilles. "Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off." Annales de l'I.H.P. Physique théorique 70.1 (1999): 101-146. <http://eudml.org/doc/76809>.

@article{Poirot1999,
author = {Poirot, Gilles},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {polymer expansion; unperturbed spectrum; free spectrum; random Schrödinger operator at weak disorder},
language = {eng},
number = {1},
pages = {101-146},
publisher = {Gauthier-Villars},
title = {Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off},
url = {http://eudml.org/doc/76809},
volume = {70},
year = {1999},
}

TY - JOUR
AU - Poirot, Gilles
TI - Mean Green's function of the Anderson model at weak disorder with an infra-red cut-off
JO - Annales de l'I.H.P. Physique théorique
PY - 1999
PB - Gauthier-Villars
VL - 70
IS - 1
SP - 101
EP - 146
LA - eng
KW - polymer expansion; unperturbed spectrum; free spectrum; random Schrödinger operator at weak disorder
UR - http://eudml.org/doc/76809
ER -

References

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  1. [1] D.J. Thouless, Phys. Report, Vol. 13, 1974, p. 93. 
  2. [2] M. Aizenman, in The State of Matter, World Scientific, 1994, p. 367. MR1462135
  3. [3] E. Fradkin, in Développement Récents en Théorie des Champs et Physique Statistique, Les HouchesXXXIX, North Holland, 1984. 
  4. [4] D. Brydges, A short course on cluster expansion, in Critical phenomena, random systems, gauge theories, Les Houches session XLIII, 1984, Elsevier Science Publishers, 1986. Zbl0659.60136MR880525
  5. [5] V. Rivasseau, Cluster expansions with large/small field conditions, minicourse in Vanvouver summer school, 1993. 
  6. [6] J. Magnen, G. Poirot and V. Rivasseau, The Anderson Model as a Matrix Model, Nucl. Phys. B (Proc. Suppl.), Vol. 58, 1997, p. 149. Zbl0979.82510MR1486338
  7. [7] A. Abdesselam and V. Rivasseau, An explicit large versus small field multiscale cluster expansion, Reviews in Math. Phys., Vol. 9, 1997, p. 123. Zbl0870.60100MR1438034
  8. [8] J.M. Combes and L. Thomas, Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators, Comm. Math. Phys., Vol. 34, 1973, pp. 251-270. Zbl0271.35062MR391792
  9. [9] V. Rivasseau, From Perturbative to constructive renormalization, Princeton University Press, 1991. MR1174294
  10. [10] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, in The State of Matter, World Scientific, 1994, p. 293. Zbl0829.46057MR1462147
  11. [11] J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, Europhys. Lett., Vol. 24, 1993, pp. 521. Zbl0921.35138
  12. [12] M.L. Mehta, Random matrices, Academic Press, Boston, 1991. Zbl0780.60014MR1083764
  13. [13] J. Magnen, G. Poirot and V. Rivasseau, Ward type identities for the 2d Anderson model at weak disorder, preprint of the Ecole Polytechnique CPHT S 599.0198, 1998. Zbl0963.82026MR1656373

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