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Condensed Matter

Title: Introduction to the Supersymmetry Method for the Gaussian Random-Matrix Ensembles

Authors: Josef A. Zuk
Abstract: This article is intended to provide a pedagogical introduction to the supersymmetry method for performing ensemble-averaging in Gaussian random-matrix theory. The method is illustrated by a detailed calculation of the simplest non-trivial physical quantity, namely, the second-order correlation in the density of states for two different energies within the spectrum (commonly known as the density-density correlator) for a system described by a random Hamiltonian matrix belonging to the Gaussian unitary ensemble.
Comments: 36 pages, LaTeX, No figures. New address for correspondence. Some misprints corrected and background material added.
Subjects: Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th)
Cite as: arXiv:cond-mat/9412060
  (or arXiv:cond-mat/9412060v3 for this version)

Submission history

From: [view email]
[v1] Tue, 13 Dec 1994 18:26:44 GMT (0kb,I)
[v2] Sat, 26 Aug 1995 07:28:38 GMT (0kb,I)
[v3] Fri, 19 Jul 1996 00:25:20 GMT (32kb)