Quantum Hall transport in graphene and its bilayer
type: CreativeWork
description: Graphene has generated great interest in the scientific community since its discovery because of the unique chiral nature of its carrier dynamics. In monolayer graphene, the relativistic Dirac spectrum for the carriers results in an unconventional integer quantum Hall effect, with a peculiar Landau Level at zero energy. In bilayer graphene, the Dirac-like quadratic energy spectrum leads to an equally interesting, novel integer quantum Hall effect, with a eight-fold degenerate zero energy Landau level. In this thesis, we present transport studies at high magnetic field on both monolayer and bilayer graphene, with a particular emphasis on the quantum Hall (QH) effect at the charge neutrality point, where both systems exhibit broken symmetry of the degenerate Landau level at zero energy. We also present data on quantum Hall edge transport across the interface of a graphene monolayer and bilayer junction, where peculiar edge state transport is observed. We investigate the quantum Hall effect near the charge neutrality point in bilayer graphene, under high magnetic fields of up to 35~T using electronic transport measurements. In the high field regime, we observe a complete lifting of the eight-fold degeneracy of the zero-energy Landau level, with new quantum Hall states corresponding to filling factors 𝝂 = 0, 1, 2 & 3. Measurements of the activation energy gap in tilted magnetic fields suggest that the Landau level splitting at the newly formed 𝝂 =1 , 2 & 3 filling factors does not exhibit low-energy spin flip excitation. These measurements are consistent with the formation of a quantum Hall ferromagnet. In addition, we observed insulating behavior in the two terminal resistance of the 𝝂 = 0 state at high fields. For monolayer graphene, we report on magneto-resistance measurements at the broken-symmetry of the zero-energy Landau level, using both a conventional two-terminal measurement of suspended graphene devices, which is sensitive to bulk and edge conductance, and a …
abstract: Graphene has generated great interest in the scientific community since its discovery because of the unique chiral nature of its carrier dynamics. In monolayer graphene, the relativistic Dirac spectrum for the carriers results in an unconventional integer quantum Hall effect, with a peculiar Landau Level at zero energy. In bilayer graphene, the Dirac-like quadratic energy spectrum leads to an equally interesting, novel integer quantum Hall effect, with a eight-fold degenerate zero energy Landau level. In this thesis, we present transport studies at high magnetic field on both monolayer and bilayer graphene, with a particular emphasis on the quantum Hall (QH) effect at the charge neutrality point, where both systems exhibit broken symmetry of the degenerate Landau level at zero energy. We also present data on quantum Hall edge transport across the interface of a graphene monolayer and bilayer junction, where peculiar edge state transport is observed. We investigate the quantum Hall effect near the charge neutrality point in bilayer graphene, under high magnetic fields of up to 35~T using electronic transport measurements. In the high field regime, we observe a complete lifting of the eight-fold degeneracy of the zero-energy Landau level, with new quantum Hall states corresponding to filling factors 𝝂 = 0, 1, 2 & 3. Measurements of the activation energy gap in tilted magnetic fields suggest that the Landau level splitting at the newly formed 𝝂 =1 , 2 & 3 filling factors does not exhibit low-energy spin flip excitation. These measurements are consistent with the formation of a quantum Hall ferromagnet. In addition, we observed insulating behavior in the two terminal resistance of the 𝝂 = 0 state at high fields. For monolayer graphene, we report on magneto-resistance measurements at the broken-symmetry of the zero-energy Landau level, using both a conventional two-terminal measurement of suspended graphene devices, which is sensitive to bulk and edge conductance, and a …
author: Zhao, Yue
language: English
keywords: Physics, Graphene, Quantum Hall effect
date published: 2012
date modified: 2026-07-24T01:44:25Z
provider: Columbia University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Columbia University

PropertyValue
property ID: DOI
value: 10.7916/D8NP2BJW