Rigorous Bound on the Integrated Density of States of a Three-Dimensional Random Alloy
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Physics
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We study the lattice model of a random alloy whose Hamiltonian is H=−Σr,δt a†rar+δ + Σrεra†rar, where δ are nearest-neighbor vectors and εr is a random site-diagonal energy uniformly distributed over the interval 0≤εr≤W. We prove that the integrated density of states per site N−1Z(E) satisfies the inequality, N−1Z(E)≤C1e−C2/E, where C1 and C2 are constants.
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1973-10-15
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Physical Review B
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At the time of publication, author A. Brooks Harris was affiliated with Oxford University. Currently, he is a faculty member in the Department of Physics at the University of Pennsylvania.