Lorentz violation and Condensed Matter Physics

Abstract

We present heuristic arguments that hint to a possible connection of Lorentz violation with observed phenomenon in condensed matter physics. Various references from condensed matter literature are cited where operators in the Standard Model Extension appear to be enhanced. Furthermore, we consider the Levy-Leblond equation, which is the analogue of Dirac equation in non-relativistic quantum mechanics. We show that we can obtain the Levy-Leblond equation by adding enhanced Lorentz violating operators to the Dirac equation. Based on these observations, we propose that Lorentz violation exhibits itself in non-relativistic quantum mechanics.

11 pages, 1 Table

References in corpus (5)

• Limits on isotropic Lorentz violation in QED from collider physics
• Understanding Lorentz violation with Rashba interaction
• Non-Relativistic Limit of the Dirac Equation
• Dirac equation for quasi-particles in graphene in an external electromagnetic field and chiral anomaly
• Comments on Lorentz and CPT Violation

Cited by in corpus (1)

• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms