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

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dc.creatorMildenberger, A.
dc.creatorSubramaniam, A. R.
dc.creatorNarayanan, R.
dc.creatorEvers, F.
dc.creatorGruzberg, I. A.
dc.creatorMirlin, A. D.
dc.date2006-11-28
dc.date2007-03-30
dc.date.accessioned2026-07-07T07:54:43Z
dc.date.available2026-07-07T07:54:43Z
dc.descriptionBoundary 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.
dc.description7 pages, 4 figures, some typos corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0611713
dc.identifierhttp://arxiv.org/abs/cond-mat/0611713
dc.identifierPhys. Rev. B 75, 094204 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.094204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126715
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleBoundary multifractality in critical 1D systems with long-range hopping
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