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math-ph2023
Chiral Random Band Matrices at Zero Energy
Jacob Shapiro
We present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin -conjecture can be established very simply.
math-ph2023
Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional Systems
Jui-Hui Chung, Jacob Shapiro
We study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropr…