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Fluctuating spin g-tensor in small metal grains

Brouwer1, Waintal, Halperin

  • 1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

Spin-orbit scattering causes energy level splitting in metal grains to depend on magnetic field direction due to mesoscopic fluctuations. Eigenvalue repulsion enhances this directional anisotropy.

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Area of Science:

  • Condensed Matter Physics
  • Mesoscopic Physics
  • Quantum Mechanics

Background:

  • Zeeman coupling describes energy level splitting in magnetic fields.
  • Spin-orbit scattering introduces complexities in electronic properties of materials.
  • Mesoscopic fluctuations arise in systems with dimensions between microscopic and macroscopic scales.

Purpose of the Study:

  • To investigate the directional dependence of energy level splitting in small metal grains.
  • To analyze the role of spin-orbit scattering and mesoscopic fluctuations in this phenomenon.
  • To understand the statistical distribution of g-factors and their impact on anisotropy.

Main Methods:

  • Theoretical analysis of energy level splitting under Zeeman coupling.
  • Consideration of spin-orbit scattering effects.
  • Statistical analysis of the distribution of the g-factor tensor eigenvalues.

Main Results:

  • Energy level splitting in small metal grains exhibits directional dependence with magnetic field.
  • This anisotropy is a consequence of mesoscopic fluctuations.
  • The statistical distribution of the g-factor tensor reveals enhanced anisotropy due to eigenvalue repulsion.

Conclusions:

  • Mesoscopic fluctuations and spin-orbit scattering significantly influence magnetic field interactions in small metal grains.
  • Eigenvalue repulsion plays a crucial role in enhancing the observed anisotropy.
  • The findings provide insights into the quantum mechanical behavior of electrons in disordered mesoscopic systems.

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