Boundary multifractality in critical 1D systems with long-range hopping

Details Boundary multifractality in critical 1D systems with long-range hopping Boundary multifractality in critical 1D systems with long-range hopping

2006-11-28

arxiv.org/abs/cond-mat/0611713v2

Phys. Rev. B 75, 094204 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures, some typos corrected

Scientific paper

10.1103/PhysRevB.75.094204

Boundary multifractality of electronic wave functions is studied analytically and numerically for the power-law random banded matrix (PRBM) model, describing a critical one-dimensional system with long-range hopping. The peculiarity of the Anderson localization transition in this model is the existence of a line of fixed points describing the critical system in the bulk. We demonstrate that the boundary critical theory of the PRBM model is not uniquely determined by the bulk properties. Instead, the boundary criticality is controlled by an additional parameter characterizing the hopping amplitudes of particles reflected by the boundary.

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