English

Harper-Hofstadter problem for 2D electron gas with ${\bf k}$-linear Rashba spin-orbit coupling

Mesoscale and Nanoscale Physics 2009-11-11 v1

Abstract

The Harper-Hofstadter problem for two-dimensional electron gas with Rashba spin-orbit coupling subject to periodic potential and perpendicular magnetic field is studied analytically and numerically. The butterfly-like energy spectrum, spinor wave functions as well as the spin density and average spin polarization are calculated for actual parameters of semiconductor structure. Our calculations show that in two-dimensional electron gas subject to periodic potential and uniform magnetic field the effects of energy spectrum splitting caused by large spin-orbit Rashba coupling can be observed experimentally.

Keywords

Cite

@article{arxiv.cond-mat/0607216,
  title  = {Harper-Hofstadter problem for 2D electron gas with ${\bf k}$-linear Rashba spin-orbit coupling},
  author = {V. Ya. Demikhovskii and A. A. Perov},
  journal= {arXiv preprint arXiv:cond-mat/0607216},
  year   = {2009}
}

Comments

8 pages, 6 figures. submitted to Europhys. Letters

R2 v1 2026-07-22T11:34:30.206Z