Distribution of spectral-flow gaps in the Rashba model with disorder: a new universality

Simple item page
dc.creatorTobe, Daijiro
dc.creatorKohmoto, Mahito
dc.creatorSato, Masatoshi
dc.creatorWu, Yong-Shi
dc.date2006-11-28
dc.date2007-05-19
dc.date.accessioned2026-07-07T12:59:40Z
dc.date.available2026-07-07T12:59:40Z
dc.descriptionWe report a study of disordered electron systems with spin-orbit coupling on a cylinder using methods of random matrix ensembles. With a threading flux turned on, the single particle levels will generally avoid, rather than cross, each other. Our numerical study of the level-avoiding gaps in the disordered Rashba model demonstrates that the normalized gap distribution is of a universal form, independent of the random strength and the system size. For small gaps it exhibits a linear behavior, while for large gaps it decays exponentially. A framework based on matrix mechanical models is suggested, and is verified to reproduce the universal linear behavior at small gaps. Thus we propose to use the distribution of the spectral-flow gaps associated with flux insertion as a new way to characterize 2d random systems with spin-orbit coupling. The relevance and qualitative implications for spin (Hall) transport are also addressed.
dc.description12 pages, 6 figures; 1 figure and references added; expanded discussions in the final section; the published version in PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0611696
dc.identifierhttp://arxiv.org/abs/cond-mat/0611696
dc.identifierPhys. Rev. B75, 245203 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.245203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225644
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.titleDistribution of spectral-flow gaps in the Rashba model with disorder: a new universality
dc.typetext

Files

Collections

arXiv