Exact unitary transformation for Rashba rings in magnetic and electric fields

Abstract

An exact solution for single electron states on mezoscopic rings with the Rashba coupling and in the presence of external magnetic and electric fields is derived by means of a unitary transformation. The transformation maps the model to a bare ring, which gives the possibility of a very simple formulation of single or many electron problems. As an example some exact results for spin and energy levels are presented.

International conference ECN-2015, Odessa, 3-6 September 2015; v2: added references

References in corpus (6)

• Persistent current in ballistic mesoscopic rings with Rashba spin-orbit coupling
• Spin states and persistent currents in mesoscopic rings: spin-orbit interactions
• Effects of interactions in transport through Aharonov-Bohm-Casher interferometers
• Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
• Topological transitions in spin interferometers
• Kondo effect and channel mixing in oscillating molecules

Cited by in corpus (6)

• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Exact spin-orbit qubit manipulation
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Qubit transformations on Rashba ring with periodic potential
• Rashba controlled two-electron spin-charge qubits as building blocks of a quantum computer
• Effects of noise on fidelity in spin-orbit qubit transformations