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Low-field phase diagram of the spin Hall effect in the mesoscopic regime.

Authors
  • Qiao, Zhenhua
  • Ren, Wei
  • Wang, Jian
  • Guo, Hong
Type
Published Article
Journal
Physical review letters
Publication Date
May 11, 2007
Volume
98
Issue
19
Pages
196402–196402
Identifiers
PMID: 17677638
Source
Medline
License
Unknown

Abstract

When a mesoscopic two dimensional four-terminal Hall cross bar with spin-orbit interaction (SOI) is subjected to a perpendicular uniform magnetic field B, both integer quantum Hall effect (IQHE) and mesoscopic spin Hall effect (MSHE) may exist when disorder strength W in the sample is weak. We have calculated the low field "phase diagram" of MSHE in the (B,W) plane for disordered samples in the IQHE regime. For weak disorder, MSHE conductance G(sH) and its fluctuations rms(G(sH)) vanish identically on even numbered IQHE plateaus, they have finite values on those odd numbered plateaus induced by SOI, and they have values G(sH)=1/2 and rms(G(sH))=0 on those odd numbered plateaus induced by Zeeman energy. At larger disorders, the system crosses over into a regime where both G(sH) and rms(G(sH)) are finite, a chaotic regime, and finally a localized regime.

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