Minimal length, Berry phase and spin-orbit interactions

Bearing the perturbation method in mind, and by focusing on the first order of approximation, the effect of Generalized Uncertainty Principle (GUP) on the Berry phase is investigated. Thereinafter, we apply the obtained formulation to quantum ring including two sorts of spin-orbit interactions, namely Rashba and Dresselhaus interactions, which are accessible for electrons. Finally, a comparison between the results and the accuracy of Berry phase detectors helps us in finding out β ₀ < 10⁴⁶ and β ₀ < 10⁵¹ as the upper bounds on the GUP parameter inflicted by the Rashba and Dresselhaus interactions, respectively. (paper)