Edge structure of graphene monolayers in the ν=0 quantum Hall stateCitation formats
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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 journal › Article › peer-review
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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 -