Spatial correlations in chaotic nanoscale systems with spin-orbit coupling

Abstract

We investigate the statistical properties of wave functions in chaotic nanostructures with spin-orbit coupling (SOC), focussing in particular on spatial correlations of eigenfunctions. Numerical results from a microscopic model are compared with results from random matrix theory in the crossover from the gaussian orthogonal to the gaussian symplectic ensembles (with increasing SOC); one- and two-point distribution functions were computed to understand the properties of eigenfunctions in this crossover. It is found that correlations of wave function amplitudes are suppressed with SOC; nevertheless, eigenfunction correlations play a more important role in the two-point distribution function(s), compared to the case with vanishing SOC. Experimental consequences of our results are discussed.

Submitted to PRB

References in corpus (2)

• Coherent control of a single electron spin with electric fields
• Measurement of discrete energy-level spectra in individual chemically-synthesized gold nanoparticles

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