Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework

Abstract

We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo-Smolin base. The particles obey a modified energy-momentum dispersion relation. The semiclassical diagonalization of the Dirac Hamiltonian reveals the intrinsic Berry phase effects in the particle dynamics.

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• Storming Majorana's Tower with OAM states of light in a plasma
• Dynamics of Quintessence in Generalized Uncertainty Principle
• Twisted Fermionic Oscillator Algebra in $\kappa$-Minkowski space-time
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Quantisation of $\kappa$-deformed Dirac equation
• Unruh effect using Doppler shift method in DSR framework