Abstract
A study is made of the supersymmetric transfer matrix of then-orbital linear chain with Gaussian nondiagonal and diagonal disorder in the matrix (Hubbard-Stratonovich) variables. This formalism is applied to the one-point Green's function. Invariant functions of supersymmetric matrices are discussed in Section 3.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Parisi and G. Sourlas,Phys. Rev. Lett. 43:744 (1979).
K. B. Efetov,Adv. Phys. 32:53 (1983).
A. Klein, Supersymmetry and a two-dimensional reduction in random phenomena, inProceedings of the Second Workshop on Quantum Probability and Applications, Heidelberg 1984 (Springer Lecture Notes in Mathematics, to appear).
J. J. M. Verbaarshot, H. A. Weidenmüller, and M. R. Zirnbauer,Phys. Rep. 129:369 (1985).
M. Campanino and A. Klein,Commun. Math. Phys. 104:227 (1986).
A. Klein, F. Martinelli, and F. Perez,Commun. Math. Phys. 106:623 (1986).
F. Wegner,Z. Phys. B 34:327 (1979).
K. Ziegler, Preprint No. 241, Sonderforschungsbereich 123, Heidelberg (1983).
F. Constantinescu, G. Felder, K. Gawedzki, and A. Kupiainen,J. Stat. Phys. 48:365 (1987).
R. Oppermann and F. Wegner,Z. Phys. B 34:327 (1979).
G. Theodorou and M. H. Cohen,Phys. Rev. B 13:4597 (1976).
T. P. Eggarter and R. Riedinger,Phys. Rev. B 18:569 (1978).
F. Wegner,Z. Phys. B 49:297 (1983).
E. Brézin, Grassmann variables and supersymmetry in the theory of disordered systems, inLecture Notes in Physics, No. 216, L. Garrido, ed. (Springer, 1985).
F. Constantinescu, C. Paiva, and U. Scharffenberger, Supersymmetry versus Replica, Preprint, Frankfurt (1987), to appear inPhys. Lett. A.
L. Hörmander,An Introduction to Complex Analysis in Several Variables (Van Nostrand, Princeton, New Jersey, 1966).
K. B. Efetov,Sov. Phys. JETP 61:606 (1985).
M. Zirnbauer,Phys. Rev. B 34:6394 (1986).
P. March and A. Sznitman, Some connections between excursion theory and the discrete random Schrödinger equation, with applications to analyticity and smoothness properties of the density of states in one dimension, Preprint.
Author information
Authors and Affiliations
Additional information
Work supported by the Deutsche Forschungsgemeinschaft.
Rights and permissions
About this article
Cite this article
Constantinescu, F. The supersymmetric transfer matrix for linear chains with nondiagonal disorder. J Stat Phys 50, 1167–1177 (1988). https://doi.org/10.1007/BF01019159
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01019159