Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States

被引：58

作者：

Barkeshli, Maissam ^{[1
]}

Wen, Xiao-Gang ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 21期

基金：

美国国家科学基金会;

关键词：

FIELD-THEORIES;

D O I：

10.1103/PhysRevLett.105.216804

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p, p, p - 3) Abelian two-component state, while the other side is the non-Abelian Z(4) parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z(2) gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at nu = 2/3 and single-component systems at nu = 8/3.

引用

页数：4

共 33 条

[11] Cabra DC, 2000, INT J MOD PHYS A, V15, P4857, DOI 10.1142/S0217751X00002354
[12] Activation gaps of fractional quantum Hall effect in the second Landau level
Choi, H. C.
Kang, W.
Das Sarma, S.
Pfeiffer, L. N.
West, K. W.
[J]. PHYSICAL REVIEW B, 2008, 77 (08):
[13] THE OPERATOR ALGEBRA OF ORBIFOLD MODELS
DIJKGRAAF, R
VAFA, C
VERLINDE, E
VERLINDE, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (03) : 485 - 526
[14] PHASE-DIAGRAMS OF LATTICE GAUGE-THEORIES WITH HIGGS FIELDS
FRADKIN, E
SHENKER, SH
[J]. PHYSICAL REVIEW D, 1979, 19 (12): : 3682 - 3697
[15] MODULAR INVARIANT PARTITION-FUNCTIONS FOR PARAFERMIONIC FIELD-THEORIES
GEPNER, D
QIU, ZG
[J]. NUCLEAR PHYSICS B, 1987, 285 (03) : 423 - 453
[16] Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
Gils, Charlotte
Ardonne, Eddy
Trebst, Simon
Ludwig, Andreas W. W.
Troyer, Matthias
Wang, Zhenghan
[J]. PHYSICAL REVIEW LETTERS, 2009, 103 (07)
[17] Non-Abelian Anyons: When Ising Meets Fibonacci
Grosfeld, E.
Schoutens, K.
[J]. PHYSICAL REVIEW LETTERS, 2009, 103 (07)
[18] One-component to two-component transition of the nu=2/3 fractional quantum Hall effect in a wide quantum well induced by an in-plane magnetic field
Lay, TS
Jungwirth, T
Smrcka, L
Shayegan, M
[J]. PHYSICAL REVIEW B, 1997, 56 (12) : R7092 - R7095
[19] NONABELIONS IN THE FRACTIONAL QUANTUM HALL-EFFECT
MOORE, G
READ, N
[J]. NUCLEAR PHYSICS B, 1991, 360 (2-3) : 362 - 396
[20] Quantum Hall phase diagram of half-filled bilayers in the lowest and the second orbital Landau levels: Abelian versus non-Abelian incompressible fractional quantum Hall states
Peterson, Michael R.
Das Sarma, S.
[J]. PHYSICAL REVIEW B, 2010, 81 (16)

← 1 2 3 4 →