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Topological Spectral Correlations in 2D Disordered Systems | | Vladimir E. Kravtsov
; Vladimir I. Yudson
; | | Date: |
17 Sep 1998 | | Journal: | Phys. Rev. Lett. v.82, 157 (1999) | | Subject: | cond-mat | | Abstract: | It is shown that the tail in the two-level spectral correlation function R(s) for particles on 2D closed disordered surfaces is determined entirely by surface topology: $R(s)=-chi/(6pi^2eta s^2)$, where $eta$ = 1,2 or 4 for the orthogonal, unitary and symplectic ensembles, and $chi$ = 2(1-p) is the Euler characteristics of the surface with p "handles" (holes). The result is valid for g << s << g^2 for $eta$=1,4 and for g << s << g^3 for $eta$=2, where g >> 1 is the dimensionless conductance. | | Source: | arXiv, cond-mat/9809235 | | Services: | Forum | Review | PDF | Favorites | |
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