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- W3143386169 abstract "The spectral statistics of a Cayley tree are numerically studied. The statistics are nonuniversal due to the high ratio of boundary sites. Once the boundary sites are connected to each other in a way that preserves the local structure of the tree, the universal statistics of the spectra is recovered. A clear localization transition is observed as function of on-site disorder strength, with a critical disorder ${W}_{c}=11.44ifmmodepmelsetextpmfi{}0.08$ and critical index $ensuremath{nu}=0.51ifmmodepmelsetextpmfi{}0.05.$ The value of $ensuremath{nu}$ fits nicely to its mean-field value, while the value of ${W}_{c}$ is puzzling." @default.
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- W3143386169 date "2003-11-17" @default.
- W3143386169 modified "2023-09-27" @default.
- W3143386169 title "Localization transition on a Cayley tree via spectral statistics" @default.
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- W3143386169 doi "https://doi.org/10.1103/physrevb.68.193102" @default.
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