Gap opening in the zeroth Landau level in gapped graphene: Pseudo-Zeeman splitting in an angular magnetic field

Abstract

We present a theoretical study of gap opening in the zeroth Landau level in gapped graphene as a result of pseudo-Zeeman interaction. The applied magnetic field couples with the valley pseudospin degree of freedom of the charge carriers leading to the pseudo-Zeeman interaction. To investigate its role in transport at the Charge Neutrality Point (CNP), we study the integer quantum Hall effect (QHE) in gapped graphene in an angular magnetic field in the presence of pseudo-Zeeman interaction. Analytical expressions are derived for the Hall conductivity using Kubo-Greenwood formula. We also determine the longitudinal conductivity for elastic impurity scattering in the first Born approximation. We show that pseudo-Zeeman splitting leads to a minimum in the collisional conductivity at high magnetic fields and a zero plateau in the Hall conductivity. Evidence for activated transport at CNP is found from the temperature dependence of the collisional conductivity.

20 pages, 4 figures, Accepted in J. Phys. Condensed matter

References in corpus (19)

• The electronic properties of graphene
• Substrate-induced band gap opening in epitaxial graphene
• Valley filter and valley valve in graphene
• Unconventional Integer Quantum Hall effect in graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• First direct observation of Dirac fermions in graphite
• The zero-energy state in graphene in a high magnetic field
• Density of states and zero Landau level probed through capacitance of graphene
• Origin of the energy bandgap in epitaxial graphene
• Theory of integer quantum Hall effect in graphene
• Theory of Anomalous Quantum Hall Effects in Graphene
• Generation of valley polarized current in bilayer graphene
• Transmission through a boundary between monolayer and bilayer graphene
• Metal to insulator transition on the N = 0 Landau level in graphene
• High magnetic field theory for the local density of states in graphene with smooth arbitrary potential landscapes
• The shape of disorder broadened Landau subbands in graphene
• The enigma of the nu=0 quantum Hall effect in graphene
• Lattice-Induced Double-Valley Degeneracy Lifting in Magnetic Field in Graphene
• Observation of half-integer quantum Hall effect in single-layer graphene using pulse magnet

Cited by in corpus (1)

• Electronic orbital angular momentum and magnetism of graphene