Analyticity of the density of states in the anderson model on the Bethe lattice |
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| Authors: | Victor Acosta Abel Klein |
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| Institution: | (1) Department of Mathematics, University of California-Irvine, 92717 Irvine, California |
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| Abstract: | Let H=1/2 +V on l2(B), whereB is the Bethe lattice andV(x),x
B, are i.i.d.r.v.'s with common probability distribution . It is shown that for distributions sufficiently close to the Cauchy distribution, the density of states (E) is analytic in a strip about the real axis. |
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| Keywords: | Anderson model Bethe lattice random Schrö dinger operator density of states |
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