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

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dc.creatorQiao, Zhenhua
dc.creatorRen, Wei
dc.creatorWang, Jian
dc.creatorGuo, Hong
dc.date2006-10-11
dc.date.accessioned2026-07-07T08:01:43Z
dc.date.available2026-07-07T08:01:43Z
dc.descriptionWhen a mesoscopic two dimensional four-terminal Hall cross-bar with Rashba and/or Dresselhaus 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. For moderate disorder, the system crosses over into a regime where both $G_{sH}$ and $rms(G_{SH})$ are finite. A larger disorder drives the system into a chaotic regime where $G_{sH}=0$ while $rms(G_{SH})$ is finite. Finally at large disorder both $G_{sH}$ and $rms(G_{SH})$ vanish. We present the physics behind this ``phase diagram".
dc.description4 page, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610288
dc.identifierhttp://arxiv.org/abs/cond-mat/0610288
dc.identifierPhys. Rev. Lett. 98, 196402 (2007).
dc.identifierdoi:10.1103/PhysRevLett.98.196402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129002
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMaterials Science
dc.titleLow field phase diagram of spin-Hall effect in the mesoscopic regime
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