Edge structure of graphene monolayers in the ν=0 quantum Hall stateCitation formats

Standard

Edge structure of graphene monolayers in the ν=0 quantum Hall state. / Knothe, Angelika; Jolicoeur, Thierry.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 92, No. 16, 165110, 09.10.2015.

Research output: Contribution to journalArticlepeer-review

Harvard

Knothe, A & Jolicoeur, T 2015, 'Edge structure of graphene monolayers in the ν=0 quantum Hall state', Physical Review B - Condensed Matter and Materials Physics, vol. 92, no. 16, 165110. https://doi.org/10.1103/PhysRevB.92.165110

APA

Knothe, A., & Jolicoeur, T. (2015). Edge structure of graphene monolayers in the ν=0 quantum Hall state. Physical Review B - Condensed Matter and Materials Physics, 92(16), [165110]. https://doi.org/10.1103/PhysRevB.92.165110

Vancouver

Knothe A, Jolicoeur T. Edge structure of graphene monolayers in the ν=0 quantum Hall state. Physical Review B - Condensed Matter and Materials Physics. 2015 Oct 9;92(16). 165110. https://doi.org/10.1103/PhysRevB.92.165110

Author

Knothe, Angelika ; Jolicoeur, Thierry. / Edge structure of graphene monolayers in the ν=0 quantum Hall state. In: Physical Review B - Condensed Matter and Materials Physics. 2015 ; Vol. 92, No. 16.

Bibtex

@article{acdc4407bd6e44e7b3765d178e3d54c7,
title = "Edge structure of graphene monolayers in the ν=0 quantum Hall state",
abstract = "Monolayer graphene at neutrality in the quantum Hall regime has many competing ground states with various types of ordering. The outcome of this competition is modified by the presence of the sample boundaries. In this paper we use a Hartree-Fock treatment of the electronic correlations allowing for space-dependent ordering. The armchair edge influence is modeled by a simple perturbative effective magnetic field in valley space. We find that all phases found in the bulk of the sample, ferromagnetic, canted antiferromagnetic, charge-density wave, and Kekul{\'e} distortion, are smoothly connected to a Kekul{\'e}-distorted edge. The single-particle excitations are computed taking into account the spatial variation of the order parameters. An eventual metal-insulator transition as a function of the Zeeman energy is not simply related to the type of bulk order.",
keywords = "Graphene, monolayers, Twisted Bilayer",
author = "Angelika Knothe and Thierry Jolicoeur",
year = "2015",
month = oct,
day = "9",
doi = "10.1103/PhysRevB.92.165110",
language = "English",
volume = "92",
journal = "Physical Review B: covering condensed matter and materials physics",
issn = "0163-1829",
publisher = "American Physical Society",
number = "16",

}

RIS

TY - JOUR

T1 - Edge structure of graphene monolayers in the ν=0 quantum Hall state

AU - Knothe, Angelika

AU - Jolicoeur, Thierry

PY - 2015/10/9

Y1 - 2015/10/9

N2 - Monolayer graphene at neutrality in the quantum Hall regime has many competing ground states with various types of ordering. The outcome of this competition is modified by the presence of the sample boundaries. In this paper we use a Hartree-Fock treatment of the electronic correlations allowing for space-dependent ordering. The armchair edge influence is modeled by a simple perturbative effective magnetic field in valley space. We find that all phases found in the bulk of the sample, ferromagnetic, canted antiferromagnetic, charge-density wave, and Kekulé distortion, are smoothly connected to a Kekulé-distorted edge. The single-particle excitations are computed taking into account the spatial variation of the order parameters. An eventual metal-insulator transition as a function of the Zeeman energy is not simply related to the type of bulk order.

AB - Monolayer graphene at neutrality in the quantum Hall regime has many competing ground states with various types of ordering. The outcome of this competition is modified by the presence of the sample boundaries. In this paper we use a Hartree-Fock treatment of the electronic correlations allowing for space-dependent ordering. The armchair edge influence is modeled by a simple perturbative effective magnetic field in valley space. We find that all phases found in the bulk of the sample, ferromagnetic, canted antiferromagnetic, charge-density wave, and Kekulé distortion, are smoothly connected to a Kekulé-distorted edge. The single-particle excitations are computed taking into account the spatial variation of the order parameters. An eventual metal-insulator transition as a function of the Zeeman energy is not simply related to the type of bulk order.

KW - Graphene

KW - monolayers

KW - Twisted Bilayer

UR - http://www.scopus.com/inward/record.url?scp=84944749140&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.92.165110

DO - 10.1103/PhysRevB.92.165110

M3 - Article

AN - SCOPUS:84944749140

VL - 92

JO - Physical Review B: covering condensed matter and materials physics

JF - Physical Review B: covering condensed matter and materials physics

SN - 0163-1829

IS - 16

M1 - 165110

ER -