TY - JOUR
T1 - Replica treatment of non-Hermitian disordered hamiltonians
AU - Nishigaki, Shinsuke M.
AU - Kamenev, Alex
PY - 2002/5/31
Y1 - 2002/5/31
N2 - We employ the fermionic and bosonic replicated nonlinear σ models to treat Ginibre unitary, symplectic and orthogonal ensembles of non-Hermitian random matrix Hamiltonians. Using the saddle point approach combined with the 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 as the two-point function for the unitary ensemble.
AB - We employ the fermionic and bosonic replicated nonlinear σ models to treat Ginibre unitary, symplectic and orthogonal ensembles of non-Hermitian random matrix Hamiltonians. Using the saddle point approach combined with the 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 as the two-point function for the unitary ensemble.
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U2 - 10.1088/0305-4470/35/21/307
DO - 10.1088/0305-4470/35/21/307
M3 - Article
AN - SCOPUS:0037205296
SN - 1751-8113
VL - 35
SP - 4571
EP - 4590
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 21
ER -