Magnetoconductivity of Semiconducting Wires with Rashba-Dresselhaus Interaction in an Axial Magnetic Field

We present the weak localization (WL) corrections to the magnetoconductivity of two dimensional electron gas with spin-orbit coupling encapsulated in a tubular structure placed in an axial magnetic field. For arbitrary values of the Rashba α and Dresselhaus β coupling constants, analytic results are obtained for two different models: electron gas wrapped around a cylindrical core and the diagonal part of the exact Hamiltonian associated with the [111] growth direction, instances where electron eigenvalues can be computed non-numerically. In both cases, since the axial symmetry is preserved, the weak localization terms are periodic functions of the magnetic flux. Side by side comparisons between the two models are provided for the same values of the two coupling constants.