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

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.