Assembling Fibonacci anyons from a Z3 parafermion lattice model

被引：44

作者：

Stoudenmire, E. M. ^{[1
]}

Clarke, David J. ^{[2
,3
,4
,5
]}

Mong, Roger S. K. ^{[2
,3
,6
,7
]}

Alicea, Jason ^{[2
,3
,6
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[2] CALTECH, Dept Phys, Pasadena, CA 91125 USA

[3] CALTECH, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA

[4] Univ Calif Santa Barbara, Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA

[5] Univ Maryland, Condensed Matter Theory Ctr, Dept Phys, College Pk, MD 20742 USA

[6] CALTECH, Walter Burke Inst Theoret Phys, Pasadena, CA 91125 USA

[7] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

来源：

PHYSICAL REVIEW B | 2015年 / 91卷 / 23期

基金：

美国国家科学基金会;

关键词：

3-STATE POTTS ANTIFERROMAGNET; NON-ABELIAN ANYONS; MAJORANA FERMIONS; QUANTUM; DENSITY; SUPERCONDUCTOR; NANOWIRE; PARTICLE; SIGNATURE; CHARGE;

D O I：

10.1103/PhysRevB.91.235112

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Recent concrete proposals suggest it is possible to engineer a two-dimensional bulk phase supporting non-Abelian Fibonacci anyons out of Abelian fractional quantum Hall systems. The low-energy degrees of freedom of such setups can be modeled as Z(3) parafermions "hopping" on a two-dimensional lattice. We use the density matrix renormalization group to study a model of this type interpolating between the decoupled-chain, triangular-lattice, and square-lattice limits. The results show clear evidence of the Fibonacci phase over a wide region of the phase diagram, most notably including the isotropic triangular-lattice point. We also study the broader phase diagram of this model and show that elsewhere it supports an Abelian state with semionic excitations.

引用

页数：18

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