  Electron spins in a two-dimensional electron gas (2DEG) can be manipulated by
spin-orbit (SO) fields originating from either Rashba or Dresselhaus
interactions with independent isotropic characteristics. Together, though, they
produce anisotropic SO fields with consequences on quantum transport through
spin interference. Here we study the transport properties of modelled
mesoscopic rings subject to Rashba and Dresselhaus [001] SO couplings in the
presence of an additional in-plane Zeeman field acting as a probe. By means of
1D and 2D quantum transport simulations we show that this setting presents
anisotropies in the quantum resistance as a function of the Zeeman field
direction. Moreover, the anisotropic resistance can be tuned by the Rashba
strength up to the point to invert its response to the Zeeman field. We also
find that a topological transition in the field texture that is associated with
a geometric phase switching is imprinted in the anisotropy pattern. We conclude
that resistance anisotropy measurements can reveal signatures of SO textures
and geometric phases in spin carriers.
