Exact relations between multifractal exponents at the Anderson transition

Details Exact relations between multifractal exponents at the Anderson transition Exact relations between multifractal exponents at the Anderson transition

2006-03-14

arxiv.org/abs/cond-mat/0603378v1

Phys. Rev. Lett. 97, 046803 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.97.046803

Two exact relations between mutlifractal exponents are shown to hold at the critical point of the Anderson localization transition. The first relation implies a symmetry of the multifractal spectrum linking the multifractal exponents with indices $q<1/2$ to those with $q>1/2$. The second relation connects the wave function multifractality to that of Wigner delay times in a system with a lead attached.

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