NON-ABELIAN GEOMETRIC PHASES AND CONDUCTANCE OF SPIN-3/2 HOLES

@article{Arovas1998NONABELIANGP,
  title={NON-ABELIAN GEOMETRIC PHASES AND CONDUCTANCE OF SPIN-3/2 HOLES},
  author={Daniel P. Arovas and Yu. B. Lyanda-Geller},
  journal={Physical Review B},
  year={1998},
  volume={57},
  pages={12302-12305}
}
Angular momentum J= (3) /(2) holes in semiconductor heterostructures are shown to accumulate non-Abelian geometric phases as a consequence of their motion. We provide a general framework for analyzing such a system and compute conductance oscillations for a simple ring geometry. We also analyze a figure-eight geometry that captures intrinsically non-Abelian interference effects. {copyright} {ital 1998} {ital The American Physical Society} 
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References

Geometric Phases in Physics
During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a