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arxiv: 1703.09634 · v1 · submitted 2017-03-28 · 🧮 math-ph · cond-mat.stat-mech· math.MP

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On Thouless bandwidth formula in the Hofstadter model

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classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords bandwidthformulathoulessclosedeulerexpressiongeneralizehofstadter
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We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers.

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