Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-11-28
Phys. Rev. B75, 245203 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 6 figures; 1 figure and references added; expanded discussions in the final section; the published version in PRB
Scientific paper
10.1103/PhysRevB.75.245203
We 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.
Kohmoto Mahito
Sato* Masatoshi
Tobe Daijiro
Wu Yong-Shi
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