Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets

Shinsei Ryu; Yasuhiro Hatsugai

doi:10.1016/j.physe.2003.12.098

Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets

Shinsei Ryu, Yasuhiro Hatsugai

Research output: Contribution to journal › Conference article › peer-review

13 Scopus citations

Abstract

Two-dimensional graphite sheets with a certain type of edges are known to support boundary states localized near the edges. Forming a flat band with a sharp peak in the density of states at the Fermi energy, they can trigger a magnetic instability or a distortion of the lattice in the presence of electron-electron or electron-phonon interactions. We shall discuss a relationship between chiral symmetry, which is the origin of the zero-energy edge states, and several types of induced orders such as spin density waves or lattice distortions. We also investigate electron correlation effects on the edge states for a wrapped quasi one-dimensional geometry, i.e., carbon nanotube, by means of the renormalization group and the open boundary bosonization.

Original language	English (US)
Pages (from-to)	679-683
Number of pages	5
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	22
Issue number	1-3
DOIs	https://doi.org/10.1016/j.physe.2003.12.098
State	Published - Apr 2004
Externally published	Yes
Event	15th International Conference on ELectronic Propreties - Nara, Japan Duration: Jul 14 2003 → Jul 18 2003

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

Keywords

Carbon nanotube
Chiral symmetry
Chiral symmetry breaking
Edge states

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10.1016/j.physe.2003.12.098

Cite this

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title = "Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets",

abstract = "Two-dimensional graphite sheets with a certain type of edges are known to support boundary states localized near the edges. Forming a flat band with a sharp peak in the density of states at the Fermi energy, they can trigger a magnetic instability or a distortion of the lattice in the presence of electron-electron or electron-phonon interactions. We shall discuss a relationship between chiral symmetry, which is the origin of the zero-energy edge states, and several types of induced orders such as spin density waves or lattice distortions. We also investigate electron correlation effects on the edge states for a wrapped quasi one-dimensional geometry, i.e., carbon nanotube, by means of the renormalization group and the open boundary bosonization.",

keywords = "Carbon nanotube, Chiral symmetry, Chiral symmetry breaking, Edge states",

author = "Shinsei Ryu and Yasuhiro Hatsugai",

note = "Funding Information: This work is supported by JSPS (S.R.) and KAWASAKI STEEL 21st Century Foundation.; 15th International Conference on ELectronic Propreties ; Conference date: 14-07-2003 Through 18-07-2003",

year = "2004",

month = apr,

doi = "10.1016/j.physe.2003.12.098",

language = "English (US)",

volume = "22",

pages = "679--683",

journal = "Physica E: Low-Dimensional Systems and Nanostructures",

issn = "1386-9477",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets

AU - Ryu, Shinsei

AU - Hatsugai, Yasuhiro

N1 - Funding Information: This work is supported by JSPS (S.R.) and KAWASAKI STEEL 21st Century Foundation.

PY - 2004/4

Y1 - 2004/4

N2 - Two-dimensional graphite sheets with a certain type of edges are known to support boundary states localized near the edges. Forming a flat band with a sharp peak in the density of states at the Fermi energy, they can trigger a magnetic instability or a distortion of the lattice in the presence of electron-electron or electron-phonon interactions. We shall discuss a relationship between chiral symmetry, which is the origin of the zero-energy edge states, and several types of induced orders such as spin density waves or lattice distortions. We also investigate electron correlation effects on the edge states for a wrapped quasi one-dimensional geometry, i.e., carbon nanotube, by means of the renormalization group and the open boundary bosonization.

AB - Two-dimensional graphite sheets with a certain type of edges are known to support boundary states localized near the edges. Forming a flat band with a sharp peak in the density of states at the Fermi energy, they can trigger a magnetic instability or a distortion of the lattice in the presence of electron-electron or electron-phonon interactions. We shall discuss a relationship between chiral symmetry, which is the origin of the zero-energy edge states, and several types of induced orders such as spin density waves or lattice distortions. We also investigate electron correlation effects on the edge states for a wrapped quasi one-dimensional geometry, i.e., carbon nanotube, by means of the renormalization group and the open boundary bosonization.

KW - Carbon nanotube

KW - Chiral symmetry

KW - Chiral symmetry breaking

KW - Edge states

UR - https://www.scopus.com/pages/publications/1842632043

UR - https://www.scopus.com/inward/citedby.url?scp=1842632043&partnerID=8YFLogxK

U2 - 10.1016/j.physe.2003.12.098

DO - 10.1016/j.physe.2003.12.098

M3 - Conference article

AN - SCOPUS:1842632043

SN - 1386-9477

VL - 22

SP - 679

EP - 683

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

IS - 1-3

T2 - 15th International Conference on ELectronic Propreties

Y2 - 14 July 2003 through 18 July 2003

ER -

Zero-energy edge states and chiral symmetry breaking at edges of graphite sheets

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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