Electron with arbitrary pseudo spins in multilayer graphene

TL;DR

This paper explores how electrons in ABC-stacked multilayer graphene exhibit pseudo spins that mimic particles with spin N/2, with behavior depending on the number of layers, offering a tunable pseudo spin system.

Contribution

It introduces a theory where the pseudo spin of electrons in multilayer graphene can be arbitrarily tuned by changing the number of layers, extending the understanding beyond spin-1/2 systems.

Findings

Electron wave function mimics spin N/2 behavior.

Pseudo spin behavior depends on whether N is odd or even.

Proposes graphene as a tunable host for arbitrary pseudo spins.

Abstract

Using the low-energy effective Hamiltonian of the ABC-stacked multilayer graphene, pseudo spin coupling to real orbital angular momentum of electron in multilayer graphene is investigated. We show that electron wave function in N-layer graphene mimics behavior of particle with spin of N/2. It is said that for N greater than 1 the low-energy effective Hamiltonian for ABC-stacked graphene is no longer used to describe pseudo spin 1/2-particle wave function. The wave function of electron in multilayer graphene may behave like fermionic (or bosonic) particle when N is odd (or even). This work proposes a theory of graphene as a host material of electron with arbitrary pseudo spins, tunable by changing number of graphene layers.