Multifractality at Anderson transitions with Coulomb interaction

We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of the Coulomb interaction. We calculate the spectrum of multifract...

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Bibliographic Details
Published in:Physical review letters 2013-08, Vol.111 (6), p.066601-066601, Article 066601
Main Authors: Burmistrov, I S, Gornyi, I V, Mirlin, A D
Format: Article
Language:English
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Summary:We explore mesoscopic fluctuations and correlations of the local density of states (LDOS) near localization transition in a disordered interacting electronic system. It is shown that the LDOS multifractality survives in the presence of the Coulomb interaction. We calculate the spectrum of multifractal dimensions in 2+ϵ spatial dimensions and show that it differs from that in the absence of interaction. The multifractal character of fluctuations and correlations of the LDOS can be studied experimentally by scanning tunneling microscopy of two-dimensional and three-dimensional disordered structures.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.111.066601