Fibonacci Topological Superconductor

被引：34

作者：

Hu, Yichen ^{[1
]}

Kane, C. L. ^{[1
]}

机构：

[1] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA

来源：

PHYSICAL REVIEW LETTERS | 2018年 / 120卷 / 06期

关键词：

MAJORANA FERMIONS; QUANTUM; ANYONS; CHARGE; STATES;

D O I：

10.1103/PhysRevLett.120.066801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a SO(7)(1)/(G(2))(1) coset factorization, leads to a solvable one-dimensional model that is extended to two dimensions using a network construction. In addition to providing a description of the Fibonacci phase without parafermions, our theory predicts a closely related "anti-Fibonacci" phase, whose topological order is characterized by the tricritical Ising model. We show that Majorana fermions can split into a pair of Fibonacci anyons, and propose an interferometer that generalizes the Z(2) Majorana interferometer and directly probes the Fibonacci non-Abelian statistics.

引用

页数：5

共 55 条

[1] Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator [J].

Akhmerov, A. R. ;

Nilsson, Johan ;

Beenakker, C. W. J. .

PHYSICAL REVIEW LETTERS, 2009, 102 (21)

[2] Supercurrent in the quantum Hall regime [J].

Amet, F. ;

Ke, C. T. ;

Borzenets, I. V. ;

Wang, J. ;

Watanabe, K. ;

Taniguchi, T. ;

Deacon, R. S. ;

Yamamoto, M. ;

Bomze, Y. ;

Tarucha, S. ;

Finkelstein, G. .

SCIENCE, 2016, 352 (6288) :966-969

[3]

Baez JC, 2002, B AM MATH SOC, V39, P145

[4]

BANERJEE M, 1992, ARXIV 1710 00492

[5] Observed quantization of anyonic heat flow [J].

Banerjee, Mitali ;

Heiblum, Moty ;

Rosenblatt, Amir ;

Oreg, Yuval ;

Feldman, Dima E. ;

Stern, Ady ;

Umansky, Vladimir .

NATURE, 2017, 545 (7652) :75-+

[6] Topological Nematic States and Non-Abelian Lattice Dislocations [J].

Barkeshli, Maissam ;

Qi, Xiao-Liang .

PHYSICAL REVIEW X, 2012, 2 (03)

[7] Detecting non-Abelian statistics in the ν=5/2 fractional quantum Hall state -: art. no. 016803 [J].

Bonderson, P ;

Kitaev, A ;

Shtengel, K .

PHYSICAL REVIEW LETTERS, 2006, 96 (01)

[8] Probing non-Abelian statistics with quasiparticle interferometry [J].

Bonderson, Parsa ;

Shtengel, Kirill ;

Slingerland, J. K. .

PHYSICAL REVIEW LETTERS, 2006, 97 (01)

[9]

Bonderson Parsa H., 2007, PhD thesis

[10] ABSENCE OF BACKSCATTERING IN THE QUANTUM HALL-EFFECT IN MULTIPROBE CONDUCTORS [J].

BUTTIKER, M .

PHYSICAL REVIEW B, 1988, 38 (14) :9375-9389

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