Absence of Wigner crystallization in graphene

被引:50
作者
Dahal, Hari P. [1 ]
Joglekar, Yogesh N.
Bedell, Kevin S.
Balatsky, Alexander V.
机构
[1] Boston Coll, Dept Phys, Chestnut Hill, MA 02467 USA
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] Indiana Univ Purdue Univ, Dept Phys, Indianapolis, IN 46202 USA
[4] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[5] Los Alamos Natl Lab, Ctr Integrated Nanotechnol, Los Alamos, NM 87545 USA
关键词
BERRYS PHASE;
D O I
10.1103/PhysRevB.74.233405
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Graphene, a single sheet of graphite, has attracted tremendous attention due to recent experiments which demonstrate that carriers in it are described by massless fermions with linear dispersion. In this Brief Report, we consider the possibility of Wigner crystallization in graphene in the absence of an external magnetic field. We show that the ratio of potential and kinetic energy is independent of the carrier density, the tuning parameter that usually drives Wigner crystallization, and find that for given material parameters (dielectric constant and Fermi velocity), Wigner crystallization is not possible. We comment on how these results change in the presence of a strong external magnetic field.
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页数:3
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共 23 条
[1]   ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS [J].
ANDO, T ;
FOWLER, AB ;
STERN, F .
REVIEWS OF MODERN PHYSICS, 1982, 54 (02) :437-672
[2]   Screening effect and impurity scattering in monolayer graphene [J].
Ando, Tsuneya .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (07)
[3]   Unconventional integer quantum Hall effect in graphene [J].
Gusynin, VP ;
Sharapov, SG .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[5]   Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps [J].
Huertas-Hernando, Daniel ;
Guinea, F. ;
Brataas, Arne .
PHYSICAL REVIEW B, 2006, 74 (15)
[6]   Quantum spin Hall effect in graphene [J].
Kane, CL ;
Mele, EJ .
PHYSICAL REVIEW LETTERS, 2005, 95 (22)
[7]   Chiral tunnelling and the Klein paradox in graphene [J].
Katsnelson, M. I. ;
Novoselov, K. S. ;
Geim, A. K. .
NATURE PHYSICS, 2006, 2 (09) :620-625
[8]   ABSENCE OF FERROMAGNETISM OR ANTIFERROMAGNETISM IN ONE- OR 2-DIMENSIONAL ISOTROPIC HEISENBERG MODELS [J].
MERMIN, ND ;
WAGNER, H .
PHYSICAL REVIEW LETTERS, 1966, 17 (22) :1133-&
[9]   Two-dimensional atomic crystals [J].
Novoselov, KS ;
Jiang, D ;
Schedin, F ;
Booth, TJ ;
Khotkevich, VV ;
Morozov, SV ;
Geim, AK .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (30) :10451-10453
[10]   Two-dimensional gas of massless Dirac fermions in graphene [J].
Novoselov, KS ;
Geim, AK ;
Morozov, SV ;
Jiang, D ;
Katsnelson, MI ;
Grigorieva, IV ;
Dubonos, SV ;
Firsov, AA .
NATURE, 2005, 438 (7065) :197-200