Berry Phase Effects in the dynamics of Dirac Electrons in Doubly Special Relativity Framework
Pierre Gosselin (IF), Alain Berard (LPMC - EA 3468, FCN), Herve, Mohrbach (LPMC - EA 3468, FCN), Subir Ghosh
TL;DR
This paper explores how Berry phase effects influence Dirac electron dynamics within a Doubly Special Relativity framework, revealing modifications due to a generalized energy-momentum relation.
Contribution
It introduces a DSR-based Dirac equation in an external potential and uncovers Berry phase effects in particle dynamics through semiclassical analysis.
Findings
Berry phase effects modify Dirac electron trajectories
Modified dispersion relation impacts particle dynamics
Semiclassical diagonalization reveals intrinsic geometric phases
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.