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We consider the $d$-dimensional Anderson model, and we prove the density of states is locally analytic if the single site potential distribution is locally analytic and the disorder is large. We emplo...
Abstract: Given a finitely generated amenable group we consider ergodic random Schr\"odinger operators on a Cayley graph with random potentials and random boundary conditions. We show that the normali...
The trace of a function of a Schrodinger operator minus the same for the Laplacian can be expressed in terms of the determinant of its scattering matrix. The naive formula for this determinant is dive...
We propose a random matrix approach to describe vibrational excitations in disordered systems. The dynamical matrix M is taken in the form M = AAT where A is some real (not generally symmetric) rand...
We study Andreev bound state (ABS) and surface density of state (SDOS) of non-centrosymmetric superconductor where spin-singlet d-wave pairing mixes with spin-triplet p (or f)-wave one by spinorbit c...
The density of states near zero energy in a graphene due to strong point defects with random positions are computed. Instead of focusing on density of states directly, we analyze eigenfunctions of in...
We study the computational difficulty of computing the ground state degeneracy and the density of states for local Hamiltonians. We show that the difficulty of both problems is exactly captured by a c...
For a system of n interacting particles moving in the background of a “homogeneous” potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting n-par...
2005Vol.43No.4pp.743-748DOI: Density of States in Two-Dimensional Square Lattices Around Half Filling with Strong Impurities GU Yu,1 YANG Yong-Hong,1,2 WANG Yong-Gang,1 and ZHANG ...
2004Vol.42No.2pp.309-320DOI: Weak-Localization Effect on the Density of States in Disordered d-wave Superconductors YANG Yong-Hong,1,2 GU Yu,1 WANG Yong-Gang,1 and LIU Mei1 ...
Electronic properties of liquid water were investigated by sequential Monte Carlo/Quantum mechanics calculations. The density of states (DOS) and HOMO-LUMO gap (EG) of liquid water have been determine...

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