Sagnac and Mashhoon effects in graphene

TL;DR

This paper explores how rotation-induced effects like Sagnac and Mashhoon manifest in graphene, revealing phase shifts influenced by relativistic properties, Berry phase, and Fermi velocity, with implications for quantum interference in graphene-based systems.

Contribution

It provides a theoretical analysis of Sagnac and Mashhoon effects in graphene, incorporating pseudospin and spin, and highlights the role of Berry phase and relativistic considerations.

Findings

Sagnac fringe shift in graphene resembles that of free electrons, governed by vacuum mass.

An additional π-phase shift occurs due to Berry phase in narrow rings.

Mashhoon fringe shift depends on Fermi velocity, maintaining its conventional form.

Abstract

We investigate the Sagnac and Mashhoon effects in graphene, taking into account both the pseudospin and intrinsic spin of electrons, within a simplified model of a rotating nanotube or infinitesimally narrow ring. Based on considerations of the relativistic phase of the wave function and employing the effective Larmor theorem, we demonstrate that the Sagnac fringe shift retains a form analogous to that for free electrons, governed by the electron's vacuum mass. In the case of a narrow ring, an additional $\pi$-phase shift arises due to the Berry phase associated with the honeycomb graphene lattice. The Mashhoon fringe shift retains its conventional form, with its dependence on the Fermi velocity.