| Issue |
EPL
Volume 132, Number 1, October 2020
|
|
|---|---|---|
| Article Number | 11002 | |
| Number of page(s) | 7 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/132/11002 | |
| Published online | 22 December 2020 | |
Lorentz violation induced by Rashba coupling via non-commutative geometry
Department of Physics, College of Sciences, Yasouj University - Yasouj, 75918-74934, Iran
Received: 14 April 2020
Accepted: 1 September 2020
In this paper we consider a simple non-relativistic quantum system for a particle confined inside a pseudo-harmonic oscillator potential in the non-commutative space. We study the influence of non-commutative background on the energy spectrum of the particle by considering the Rashba spin-orbit interaction. We show that the Rashba interaction can generate the Lorentz violation effect in the non-commutative background, which is independent of potential. Finally, we find a compatible bound on the Lorentz violation parameter of electrons as an order of $\arrowvert b_{z}\arrowvert\leq 10^{-26}\ \text{GeV}$ in the non-relativistic system.
PACS: 11.10.Nx – Noncommutative field theory / 11.30.Cp – Lorentz and Poincaré invariance / 71.70.Ej – Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect
© 2020 EPLA
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