Replica treatment of non-Hermitian disordered Hamiltonians

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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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.

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