# 2018 CAP Congress / Congrès de l'ACP 2018

10-16 June 2018
Dalhousie University
America/Halifax timezone
Welcome to the 2018 CAP Congress Program website! / Bienvenue au siteweb du programme du Congrès de l'ACP 2018!

## Modification of Landau levels and degeneracy due to a parallel linear electric field

11 Jun 2018, 12:00
15m
McCain 2017 (cap.36) (Dalhousie University)

### McCain 2017 (cap.36)

#### Dalhousie University

Oral Competition (Graduate Student) / Compétition orale (Étudiant(e) du 2e ou 3e cycle) Theoretical Physics / Physique théorique (DTP-DPT)

### Speaker

Yann Audin (Bishop's University)

### Description

When a charged particle moves in a plane perpendicular to a constant magnetic field (z-direction) the discrete energy levels are called Landau levels. The energies resemble those of the harmonic oscillator with $\omega$ the cyclotron frequency $\omega_c$. The energies are highly degenerate, with the degeneracy being independent of the energy. We now add a linear electric field parallel to the magnetic field above the plane and anti-parallel below the plane. This introduces a second frequency $\omega_z$ associated with oscillations along the z-direction. We show how the Landau levels get modified, but more crucially show that the degeneracy increases with energy, with critical jumps when $\omega_z$/$\omega_c$ is a rational number.

### Primary authors

Yann Audin (Bishop's University) Prof. Ariel Edery