A quantum-network approach to spin interferometry driven by Abelian and non-Abelian fields

Abstract

We present a theory of conducting quantum networks that accounts for Abelian and non-Abelian fields acting on spin carriers. We apply this approach to model the conductance of mesoscopic spin interferometers of different geometry (such as squares and rings), reproducing recent experimental findings in nanostructured InAsGa quantum wells subject to Rashba spin-orbit and Zeeman fields (as, e.g., the manipulation of Aharonov-Casher interference patterns by geometric means). Moreover, by introducing an additional field-texture engineering, we manage to single out a previously unnoticed spin-phase suppression mechanism. We notice that our approach can also be used for the study of complex networks and the spectral properties of closed systems.

13 pages with 9 figures

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Cited by in corpus (4)

• Nonmonotonic quantum phase gathering in curved spintronic circuits
• Spin-texture topology in curved circuits driven by spin-orbit interactions
• Magnetic switching of spin-scattering centers in Dresselhaus [110] circuits
• Parallel spin transport and holonomy in non-Euclidean curved circuits on a spherical two-dimensional electron gas