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Boundary multifractality in critical one-dimensional systems with long-range hopping
Published in
Volume: 75
Issue: 9
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. © 2007 The American Physical Society.
About the journal
JournalPhysical Review B - Condensed Matter and Materials Physics
Open AccessNo