States near Dirac points of a rectangular graphene dot in a magnetic field

S. C. Kim, P. S. Park, Sung Ryul Yang

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

In neutral graphene dots, the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped graphene dot with two zigzag and two armchair edges. We find that a quasidegenerate level forms near zero energy and the number of states in this level can be tuned by the magnetic field. The wave functions of states in this level are all peaked on the zigzag edges with or without some weight inside the dot. Some of these states are magnetic field-independent surface states while the others are field-dependent. We have found a scaling result from which the number of magnetic field-dependent states of large dots can be inferred from those of smaller dots.

Original languageEnglish
Article number085432
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number8
DOIs
Publication statusPublished - 2010 Feb 23

Fingerprint

Graphite
Graphene
graphene
Magnetic fields
Fermi level
magnetic fields
Surface states
Wave functions
Electron energy levels
electron states
wave functions
scaling

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

States near Dirac points of a rectangular graphene dot in a magnetic field. / Kim, S. C.; Park, P. S.; Yang, Sung Ryul.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 81, No. 8, 085432, 23.02.2010.

Research output: Contribution to journalArticle

@article{2b2e0c8147e9445a8e1f8fe0fe61a8b7,
title = "States near Dirac points of a rectangular graphene dot in a magnetic field",
abstract = "In neutral graphene dots, the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped graphene dot with two zigzag and two armchair edges. We find that a quasidegenerate level forms near zero energy and the number of states in this level can be tuned by the magnetic field. The wave functions of states in this level are all peaked on the zigzag edges with or without some weight inside the dot. Some of these states are magnetic field-independent surface states while the others are field-dependent. We have found a scaling result from which the number of magnetic field-dependent states of large dots can be inferred from those of smaller dots.",
author = "Kim, {S. C.} and Park, {P. S.} and Yang, {Sung Ryul}",
year = "2010",
month = "2",
day = "23",
doi = "10.1103/PhysRevB.81.085432",
language = "English",
volume = "81",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

TY - JOUR

T1 - States near Dirac points of a rectangular graphene dot in a magnetic field

AU - Kim, S. C.

AU - Park, P. S.

AU - Yang, Sung Ryul

PY - 2010/2/23

Y1 - 2010/2/23

N2 - In neutral graphene dots, the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped graphene dot with two zigzag and two armchair edges. We find that a quasidegenerate level forms near zero energy and the number of states in this level can be tuned by the magnetic field. The wave functions of states in this level are all peaked on the zigzag edges with or without some weight inside the dot. Some of these states are magnetic field-independent surface states while the others are field-dependent. We have found a scaling result from which the number of magnetic field-dependent states of large dots can be inferred from those of smaller dots.

AB - In neutral graphene dots, the Fermi level coincides with the Dirac points. We have investigated in the presence of a magnetic field several unusual properties of single electron states near the Fermi level of such a rectangular-shaped graphene dot with two zigzag and two armchair edges. We find that a quasidegenerate level forms near zero energy and the number of states in this level can be tuned by the magnetic field. The wave functions of states in this level are all peaked on the zigzag edges with or without some weight inside the dot. Some of these states are magnetic field-independent surface states while the others are field-dependent. We have found a scaling result from which the number of magnetic field-dependent states of large dots can be inferred from those of smaller dots.

UR - http://www.scopus.com/inward/record.url?scp=77954922532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954922532&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.81.085432

DO - 10.1103/PhysRevB.81.085432

M3 - Article

VL - 81

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 8

M1 - 085432

ER -