Quantum wires with spin-orbit interactions and magnetic fields

Within the noncollinear local spin-density approximation,
we have studied the ground state structure of a parabolically confined
quantum wire submitted to an in-plane magnetic field,
including both Rashba and Dresselhaus spin-orbit interactions.
We have explored a wide range of linear electronic densities
in the weak(strong) coupling regimes that appear when the ratio of
spin-orbit to confining energy is small(large).
These results are used to obtain the conductance of the wire. In the
strong coupling limit, the interplay between the applied magnetic
field -irrespective of the in-plane direction, the
exchange-correlation and the spin-orbit energy, produces
anomalous plateaus in the conductance vs. linear density plots that
otherwise are absent, or washes out plateaus that appear when the
exchange-correlation energy is not taken into account.