Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-09-06
J. Phys. A: Math. Gen. 35 (2002) 4571--4590
Physics
Condensed Matter
Disordered Systems and Neural Networks
REVTeX 3.1, 13 pages, 1 figure; typos fixed (v2)
Scientific paper
10.1088/0305-4470/35/21/307
We employ the fermionic and bosonic replicated nonlinear sigma models to treat Ginibre unitary, symplectic, and orthogonal ensembles of non-Hermitian random matrix Hamiltonians. Using saddle point approach combined with Borel resummation procedure we derive the exact large-N results for microscopic density of states in all three ensembles. We also obtain tails of the density of states as well the two-point function for the unitary ensemble.
Kamenev A. A.
Nishigaki Shinsuke M.
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