Irrational versus rational charge and statistics in two-dimensional quantum systems

被引：60

作者：

Chamon, Claudio ^{[1
,2
]}

Hou, Chang-Yu ^{[1
]}

Jackiw, Roman ^{[2
]}

Mudry, Christopher ^{[3
]}

Pi, So-Young ^{[1
]}

Schnyder, Andreas P. ^{[4
]}

机构：

[1] Boston Univ, Dept Phys, Boston, MA 02215 USA

[2] MIT, Dept Phys, Cambridge, MA 02139 USA

[3] Paul Scherrer Inst, Condensed Matter Theory Grp, CH-5232 Villigen, Switzerland

[4] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 11期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.110405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tight-binding systems described, in the continuum approximation, by the Dirac equation in (2+1)-dimensional space and time. These excitations can be deconfined at zero temperature, but when they are, the charge rerationalizes to the value 1/2 and the exchange statistics to that of "quartons" (half-semions).

引用

页数：4

共 18 条

[1] Theta-terms in nonlinear sigma-models [J].

Abanov, AG ;

Wiegmann, PB .

NUCLEAR PHYSICS B, 2000, 570 (03) :685-698

[2] Bipartite Rokhsar-Kivelson points and cantor deconfinement [J].

Fradkin, E ;

Huse, DA ;

Moessner, R ;

Oganesyan, V ;

Sondhi, SL .

PHYSICAL REVIEW B, 2004, 69 (22) :224415-1

[3]

Goldstone J., 1981, Physical Review Letters, V47, P986, DOI 10.1103/PhysRevLett.47.986

[4] FRACTIONAL STATISTICS IN ARBITRARY DIMENSIONS - A GENERALIZATION OF THE PAULI PRINCIPLE [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1991, 67 (08) :937-940

[5] MODEL FOR A QUANTUM HALL-EFFECT WITHOUT LANDAU-LEVELS - CONDENSED-MATTER REALIZATION OF THE PARITY ANOMALY [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (18) :2015-2018

[6] INDUCED HOPF TERM IN THE NONLINEAR SIGMA-MODEL [J].

HLOUSEK, Z ;

SENECHAL, D ;

TYE, SHH .

PHYSICAL REVIEW D, 1990, 41 (12) :3773-3784

[7] Electron fractionalization in two-dimensional graphenelike structures [J].

Hou, Chang-Yu ;

Chamon, Claudio ;

Mudry, Christopher .

PHYSICAL REVIEW LETTERS, 2007, 98 (18)

[8] Chiral gauge theory for graphene [J].

Jackiw, R. ;

Pi, S.-Y. .

PHYSICAL REVIEW LETTERS, 2007, 98 (26)

[9] CONTINUUM QUANTUM-FIELD THEORY FOR A LINEARLY CONJUGATED DIATOMIC POLYMER WITH FERMION FRACTIONIZATION [J].

JACKIW, R ;

SEMENOFF, G .

PHYSICAL REVIEW LETTERS, 1983, 50 (06) :439-442

[10] SOLITONS WITH FERMION NUMBER 1/2 [J].

JACKIW, R ;

REBBI, C .

PHYSICAL REVIEW D, 1976, 13 (12) :3398-3409

← 1 2 →