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- W2749205553 abstract "We explore the evolution of wave-function statistics on a finite Bethe lattice (Cayley tree) from the central site (root) to the boundary (leaves). We show that the eigenfunction moments $P_q=N left<|psi|^{2q}(i)right>$ exhibit a multifractal scaling $P_qpropto N^{-tau_q}$ with the volume (number of sites) $N$ at $Ntoinfty$. The multifractality spectrum $tau_q$ depends on the strength of disorder and on the parameter $s$ characterizing the position of the observation point $i$ on the lattice. Specifically, $s= r/R$, where $r$ is the distance from the observation point to the root, and $R$ is the radius of the lattice. We demonstrate that the exponents $tau_q$ depend linearly on $s$ and determine the evolution of the spectrum with increasing disorder, from delocalized to the localized phase. Analytical results are obtained for the $n$-orbital model with $n gg 1$ that can be mapped onto a supersymmetric $sigma$ model. These results are supported by numerical simulations (exact diagonalization) of the conventional ($n=1$) Anderson tight-binding model." @default.
- W2749205553 created "2017-08-31" @default.
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- W2749205553 date "2017-12-20" @default.
- W2749205553 modified "2023-10-18" @default.
- W2749205553 title "Multifractality of wave functions on a Cayley tree: From root to leaves" @default.
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- W2749205553 cites W1983739832 @default.
- W2749205553 cites W1985509321 @default.
- W2749205553 cites W1987315703 @default.
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- W2749205553 cites W2003877329 @default.
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- W2749205553 cites W2023309655 @default.
- W2749205553 cites W2025071341 @default.
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- W2749205553 cites W2030149349 @default.
- W2749205553 cites W2039006229 @default.
- W2749205553 cites W2040105853 @default.
- W2749205553 cites W2040478976 @default.
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- W2749205553 cites W2063505006 @default.
- W2749205553 cites W2065584039 @default.
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- W2749205553 doi "https://doi.org/10.1103/physrevb.96.214204" @default.
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