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On the size scaling of the nearest level spacing at criticality | A. V. Malyshev
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20 Oct 2003 | Subject: | Disordered Systems and Neural Networks; Mesoscopic Systems and Quantum Hall Effect | cond-mat.dis-nn cond-mat.mes-hall | Abstract: | It is conjectured that the size scaling of the nearest level spacing in the critical spectral region, $S(N)propto N^{-lambda}$, remains qualitatively the same within phases of extended and critical states. The exponent $lambda$ is therefore identical to that for the bare level spacing (at zero disorder). Our calculation of the scaling for the one-dimensional model with diagonal disorder and long-range power-like interaction confirms the conjecture. | Source: | arXiv, cond-mat/0310464 | Services: | Forum | Review | PDF | Favorites |
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