MOTT TRANSITION IN AN ANYON GAS

被引:123
作者
CHEN, W
FISHER, MPA
WU, YS
机构
[1] IBM CORP, RES, THOMAS J WATSON RES CTR, YORKTOWN HTS, NY 10598 USA
[2] MIT, CTR THEORET PHYS, CAMBRIDGE, MA 02139 USA
[3] UNIV UTAH, DEPT PHYS, SALT LAKE CITY, UT 84112 USA
关键词
D O I
10.1103/PhysRevB.48.13749
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We introduce and analyze a lattice model of anyons in a periodic potential and an external magnetic field, which exhibits a transition from a Mott insulator to a quantum Hall fluid. The transition is characterized by the anyon statistics alpha, which can vary between fermions, alpha = 0, and bosons, alpha = 1. For bosons the transition is in the universality class of the classical three-dimensional XY model. Near the fermion limit, the transition is described by a massless 2 + 1 Dirac theory coupled to a Chern-Simons gauge field. Analytic calculations perturbative in alpha, and also a large-N expansion, show that due to gauge fluctuations, the critical properties of the transition are dependent on the anyon statistics. Comparison with previous calculations at and near the boson limit, strongly suggest that our lattice model exhibits a fixed line of critical points, with universal critical properties that vary continuosly and monotonically as one passes from fermions to bosons. Possible relevance to experiments on the transitions between plateaus in the fractional quantum Hall effect and the magnetic-field-tuned superconductor-insulator transition are briefly discussed.
引用
收藏
页码:13749 / 13761
页数:13
相关论文
共 61 条
[1]  
AMIT DJ, 1988, FIELD THEORY RENORMA
[2]  
AVDEEV LV, UNPUB
[3]   RADIATIVE-CORRECTIONS TO THE TOPOLOGICAL MASS IN (2+1)-DIMENSIONAL ELECTRODYNAMICS [J].
BERNSTEIN, MD ;
LEE, T .
PHYSICAL REVIEW D, 1985, 32 (04) :1020-1020
[4]   EFFECTIVE THEORIES OF THE FRACTIONAL QUANTUM HALL-EFFECT AT GENERIC FILLING FRACTIONS [J].
BLOK, B ;
WEN, XG .
PHYSICAL REVIEW B, 1990, 42 (13) :8133-8144
[5]   SUPERCONDUCTIVE PAIRING OF FERMIONS AND SEMIONS IN 2 DIMENSIONS [J].
CANRIGHT, GS ;
GIRVIN, SM ;
BRASS, A .
PHYSICAL REVIEW LETTERS, 1989, 63 (20) :2295-2298
[6]   UNIVERSAL CONDUCTIVITY OF 2-DIMENSIONAL FILMS AT THE SUPERCONDUCTOR-INSULATOR TRANSITION [J].
CHA, MC ;
FISHER, MPA ;
GIRVIN, SM ;
WALLIN, M ;
YOUNG, AP .
PHYSICAL REVIEW B, 1991, 44 (13) :6883-6902
[7]  
CHAY J, UNPUB
[8]   EXACT RESULT OF 2-LOOP CORRECTION TO THE STATISTICS PARAMETER [J].
CHEN, W .
PHYSICS LETTERS B, 1990, 251 (03) :415-420
[9]   SCALE AND CONFORMAL-INVARIANCE IN CHERN-SIMONS-MATTER FIELD-THEORY [J].
CHEN, W ;
SEMENOFF, GW ;
WU, YS .
PHYSICAL REVIEW D, 1991, 44 (06) :R1625-R1628
[10]   PROBING TOPOLOGICAL FEATURES IN PERTURBATIVE CHERN-SIMONS GAUGE-THEORY [J].
CHEN, W ;
SEMENOFF, GW ;
WU, YS .
MODERN PHYSICS LETTERS A, 1990, 5 (23) :1833-1839