The Landscape Law for Tight Binding Hamiltonians
نویسندگان
چکیده
The present paper extends the landscape theory pioneered in [FM, ADFJM2, DFM] to tight-binding Schr\"odinger operator on $\Z^d$. In particular, we establish upper and lower bounds for integrated density of states terms counting function based upon localization landscape.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04494-8