202 citations · 1.3k across the 52 of their papers we have counts for
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Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
Ken Mochizuki, Naomichi Hatano, Joshua Feinberg +1
We explore the eigenvalue statistics of a non-Hermitian version of the Su-Schrieffer-Heeger model, with imaginary on-site potentials and randomly distributed hopping terms. We find…
Chebyshev-polynomial expansion of the localization length of Hermitian and non-Hermitian random chains
Naomichi Hatano, Joshua Feinberg
We carry Chebyshev-polynomial expansion of the inverse localization length of Hermitian and non-Hermitian random chains as function of energy. For Hermitian models, the expansion p…
Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
Joshua Feinberg
We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems
Statistics of Resonances in One Dimensional Continuous Systems
Joshua Feinberg
We study the average density of resonances (DOR) of a disordered one-dimensional continuous open system. The disordered system is semi-infinite, with white-noise random potential,…
Non-Hermitean Random Matrix Theory: Summation of Planar Diagrams, the "Single-Ring" Theorem and the Disk-Annulus Phase Transition
Joshua Feinberg
I review aspects of work done in collaboration with A. Zee and R. Scalettar \cite{fz1,fz2,fsz} on complex non-hermitean random matrices. I open by explaining why the bag of tools u…
"Single Ring Theorem" and the Disk-Annulus Phase Transition
Joshua Feinberg, R. Scalettar, A. Zee
Recently, an analytic method was developed to study in the large limit non-hermitean random matrices that are drawn from a large class of circularly symmetric non-Gaussian prob…