Effects of minimal length on Berry phase and spin-orbit interactions

TL;DR

This paper investigates how the Generalized Uncertainty Principle influences the Berry phase in quantum systems, especially in quantum rings with spin-orbit interactions, providing bounds on GUP parameters based on Berry phase measurements.

Contribution

It extends the study of GUP effects to systems with Rashba and Dresselhaus spin-orbit interactions, deriving bounds on GUP parameters from Berry phase observations.

Findings

Upper bounds on GUP parameter from Rashba interaction: <10^{46}

Upper bounds on GUP parameter from Dresselhaus interaction: <10^{51}

Results agree with previous constraints on GUP parameters

Abstract

The effect of Generalized Uncertainty Principle (GUP) on Berry phase is studied using the perturbation approach and up to the first order of approximation. Thereinafter, the obtained results are extended to a quantum ring in which two types of spin-orbit interactions, including Rashba and Dresselhaus interactions, can be felt by electrons. Comparing the final results with the accuracy of Berry phase detectors, one can find an upper bound on GUP parameter as $\beta_{0}<10^{46}$ and $\beta_{0}<10^{51}$ from Rashba and Dresselhaus interactions, respectively, in agreement with previous results.