Conditions for Adiabatic Spin Transport in Disordered Systems

Abstract

We address the controversy concerning the necessary conditions for the observation of Berry phases in disordered mesoscopic conductors. For this purpose we calculate the spin-dependent conductance of disordered two-dimensional structures in the presence of inhomogeneous magnetic fields. Our numerical results show that for both, the overall conductance and quantum corrections, the relevant parameter defining adiabatic spin transport scales with the square root of the number of scattering events, in generalization of Stern's original proposal [Phys. Rev. Lett. 68, 1022 (1992)]. This could hinder a clear-cut experimental observation of Berry phase effects in diffusive metallic rings.

arXiv comment5 pages, 4 figures. To appear in Phys. Rev. B (Rapid Communications)

References in corpus (5)

• Aharonov-Bohm Oscillations with Spin: Evidence for Berry's Phase
• Quantum Transport in Nonuniform Magnetic Fields: Aharonov-Bohm Ring as a Spin Switch
• Observing the Berry phase in diffusive conductors: Necessary conditions for adiabaticity
• Ballistic Quantum Transport: Effect of Geometrical Phases
• Berry phase and adiabaticity of a spin diffusing in a non-uniform magnetic field

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• Aharonov-Bohm Physics with Spin II: Spin-Flip Effects in Two-dimensional Ballistic Systems
• Signatures of spin-related phases in transport through regular polygons
• Study of the topological Hall effect on simple models
• Gate-controlled anisotropy in Aharonov-Casher spin interference: signatures of Dresselhaus spin-orbit inversion and spin phases
• Geometry-assisted topological transitions in spin interferometry
• Spin resonance under topological driving fields
• Spin transmission control in helical magnetic fields
• Geometric vector potentials from non-adiabatic spin dynamics
• Nonmonotonic quantum phase gathering in curved spintronic circuits
• Monopoles in ferromagnetic metals
• Spin-texture topology in curved circuits driven by spin-orbit interactions
• Electron Transport through Disordered Domain Walls: Coherent and Incoherent Regimes
• Spin-Orbit Berry Phase in a Quantum Loop
• Geometric phases and Andreev reflection in hybrid rings
• Floquet quantum multiparameter estimation with periodic-driving-induced topological phase transition
• Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions