Spin-orbit induced interference in polygon-structures

Abstract

We investigate the spin-orbit induced spin-interference pattern of ballistic electrons travelling along any regular polygon. It is found that the spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit constants as well as on the sidelength and alignment of the polygon. We derive the analytical formulae for the limiting cases of either zero Dresselhaus or zero Rashba spin-orbit coupling, including the result obtained for a circle. We calculate the nonzero Dresselhaus and Rashba case numerically for the square, triangle, hexagon, and circle and discuss the observability of the spin-interference which can potentially be used to measure the Rashba and Dresselhaus coefficients.

17 pages, 4 figures

References in corpus (1)

• Rashba effect induced localization in quantum networks

Cited by in corpus (14)

• Experimental demonstration of the time reversal Aharonov-Casher effect
• Filtering and analyzing mobile qubit information via Rashba-Dresselhaus-Aharonov-Bohm interferometers
• Stability of spintronic devices based on quantum ring networks
• Magnetoconductance properties of rectangular arrays of spintronic quantum rings
• Quantum rings with time dependent spin-orbit coupling: Rabi oscillations, spintronic Schrodinger-cat states, and conductance properties
• Geometric driving of two-level quantum systems
• Time reversal Aharonov-Casher effect in mesoscopic rings with Rashba spin-orbital interaction
• Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction
• Geometry-assisted topological transitions in spin interferometry
• Nonmonotonic quantum phase gathering in curved spintronic circuits
• Effects of Rashba spin-orbit coupling and a magnetic field on a polygonal quantum ring
• Spin-texture topology in curved circuits driven by spin-orbit interactions
• Magnetic switching of spin-scattering centers in Dresselhaus [110] circuits
• The Geometrical Effects on Electronic Spectrum and Persistent Currents in Mesoscopic Polygon