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Anderson transition in two-dimensional systems with spin-orbit coupling.

Yoichi Asada1, Keith Slevin, Tomi Ohtsuki

  • 1Department of Physics, Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Japan.

Physical Review Letters
|December 18, 2002
PubMed
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We numerically investigated the Anderson transition in 2D systems with spin-orbit coupling. Our study accurately estimates the critical exponent nu=2.73+/-0.02 for localization length, a key parameter in this field.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics

Background:

  • The Anderson transition describes the metal-insulator transition in disordered systems.
  • Spin-orbit coupling significantly influences electron behavior in low-dimensional materials.
  • Accurate critical exponents are crucial for understanding universality classes.

Purpose of the Study:

  • To numerically investigate the Anderson transition in two-dimensional systems incorporating spin-orbit coupling.
  • To obtain a precise estimate of the critical exponent nu, which characterizes the divergence of localization length.
  • To address the lack of established literature values for this specific universality class.

Main Methods:

  • Numerical investigation of the Anderson transition.
  • Analysis of the SU(2) model to study spin-orbit coupling effects.

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  • Calculation of the critical exponent nu, accounting for scaling corrections.

    • Main Results:

    • An accurate estimate for the critical exponent nu was obtained: nu=2.73+/-0.02.
    • Corrections to scaling arising from irrelevant scaling variables were found to be negligible for the SU(2) model.
    • This finding permits a reliable determination of the localization length's critical behavior.

    Conclusions:

    • The study provides a reliable numerical estimate for the critical exponent nu in 2D systems with spin-orbit coupling.
    • The SU(2) model allows for accurate analysis by neglecting certain scaling corrections.
    • This work contributes essential data to the understanding of Anderson localization in disordered systems with spin-orbit interactions.