Influence of Rashba and Dresselhaus spin-orbit interactions of equal   strengths on electron states in a circular quantum ring in the presence of a   magnetic field
  Solutions of the Schr\"odinger equation are obtained for an electron in a two-dimensional circular semiconductor quantum ring in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit interactions of equal strengths. Confinement is simulated by a realistic potential well of a finite depth. The dependence of the energy levels on a magnetic field strength, strength of spin-orbit interaction and a relative ring width is presented. 
V. V. Kudryashov, A. V. Baran
math-ph cond-mat.mes-hall math.MP quant-ph