The supersymmetric technique for random-matrix ensembles with zero eigenvalues

Details The supersymmetric technique for random-matrix ensembles with zero eigenvalues The supersymmetric technique for random-matrix ensembles with zero eigenvalues

2001-03-06

arxiv.org/abs/cond-mat/0103137v2

J. Math. Phys. 43, 126 (2002)

Physics

Condensed Matter

22 pages, introduction modified, one reference added

Scientific paper

10.1063/1.1423765

The supersymmetric technique is applied to computing the average spectral density near zero energy in the large-N limit of the random-matrix ensembles with zero eigenvalues: B, DIII-odd, and the chiral ensembles (classes AIII, BDI, and CII). The supersymmetric calculations reproduce the existing results obtained by other methods. The effect of zero eigenvalues may be interpreted as reducing the symmetry of the zero-energy supersymmetric action by breaking a certain abelian symmetry.

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