Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-07-19
J. Stat. Phys. 129 (2007) 809
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages
Scientific paper
10.1007/s10955-007-9405-y
Starting from Gaussian random matrix models we derive a new supermatrix field theory model. In contrast to the conventional non-linear sigma models, the new model is applicable for any range of correlations of the elements of the random matrices. We clarify the domain of integration for the supermatrices, and give a demonstration of how the model works by calculating the density of states for an ensemble of almost diagonal matrices. It is also shown how one can reduce the supermatrix model to the conventional sigma model.
Bunder J. E.
Efetov Konstantin B.
Kravtsov Vladimir E.
Yevtushenko O. M.
Zirnbauer Martin R.
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