Abstract
We have demonstrated that Lorentz-violating terms stemming from the fermion sector of the SME are able to generate geometrical phases on the wave function of electrons confined in 1-dimensional rings, as well as persistent spin currents, in the total absence of electromagnetic fields. We have explicitly evaluated the eigenenergies and eigenspinors of the electrons modified by the Lorentz-violating terms, using them to calculate the dynamic and the Aharonov–Anandan phases in the sequel. The total phase presents a pattern very similar to the Aharonov–Casher phase accumulated by electrons in rings under the action of the Rashba interaction. Finally, the persistent spin current were carried out and used to impose upper bounds on the Lorentz-violating parameters.
Highlights
The standard model extension (SME) [1] was proposed as an extension of the minimal standard model including terms of Lorentz symmetry violation in all interaction sectors
The purpose of this work is to show that the tensor background, dμν, provides nonrelativistic contributions to the Hamiltonian of electrons confined in a 1dimensional ring, which alter the corresponding eigenenergies and eigenspinors in a compatible way with the generation of geometrical phases analogue to the ones produced by the Rashba interaction in condensed matter systems
We investigate the effects played by some terms stemming from the fermion sector of the SME on the wave function of electrons confined in 1-dimensional rings, pointing out that we are using natural units, ħ = 1, c = 1
Summary
The standard model extension (SME) [1] was proposed as an extension of the minimal standard model including terms of Lorentz symmetry violation in all interaction sectors. The purpose of this work is to show that the tensor background, dμν , provides nonrelativistic contributions to the Hamiltonian of electrons confined in a 1dimensional ring, which alter the corresponding eigenenergies and eigenspinors in a compatible way with the generation of geometrical phases analogue to the ones produced by the Rashba interaction in condensed matter systems. It occurs in the entire absence of electric or magnetic fields. The T-even character of d00, dij will allow to obtain persistent spin current but no charge current [25, 29, 31]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
