Internal Lifshitz tails for discrete Schrödinger operators
2006 ◽
Vol 2006
◽
pp. 1-8
Keyword(s):
We consider random Schrödinger operatorsHωacting onl2(ℤd). We adapt the technique of the periodic approximations used in (2003) for the present model to prove that the integrated density of states ofHωhas a Lifshitz behavior at the edges of internal spectral gaps if and only if the integrated density of states of a well-chosen periodic operator is nondegenerate at the same edges. A possible application of the result to get Anderson localization is given.
2019 ◽
Vol 27
(4)
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pp. 253-259
2018 ◽
Vol 2020
(17)
◽
pp. 5279-5341
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2007 ◽
Vol 253
(2)
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pp. 515-533
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2004 ◽
pp. 97-183
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2000 ◽
Vol 33
(46)
◽
pp. 8231-8240
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2007 ◽
Vol 140
(3)
◽
pp. 469-498
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