Localized Many-Particle Majorana Modes with Vanishing Time-Reversal Symmetry Breaking in Double Quantum Dots

被引：9

作者：

Wright, Anthony R. ^{[1
]}

Veldhorst, Menno ^{[2
]}

机构：

[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

[2] Univ New S Wales, Sch Elect Engn & Telecommun, ARC Ctr Excellence Quantum Computat & Commun Tech, Sydney, NSW 2052, Australia

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 09期

基金：

澳大利亚研究理事会;

关键词：

TOPOLOGICAL INSULATOR; SUPERCURRENT; STATES; STATISTICS; TRANSPORT; SURFACE;

D O I：

10.1103/PhysRevLett.111.096801

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the concept of spinful many-particle Majorana modes with local odd operator products, thereby preserving their local statistics. We consider a superconductor-double-quantum-dot system where these modes can arise with negligible Zeeman splitting when Coulomb interactions are present. We find a reverse Mott-insulator transition, where the even- and odd-parity bands become degenerate. Above this transition, Majorana operators move the system between the odd-parity ground state, associated with elastic cotunneling, and the even- parity ground state, associated with crossed Andreev reflection. These Majorana modes are described in terms of one, three, and five operator products. Parity conservation results in a 4 pi periodic supercurrent in the even state and no supercurrent in the odd state.

引用

页数：5

共 36 条

[21]

Majorana E., 1937, Nuovo Cimento, V14, P171, DOI [DOI 10.1007/BF02961314, 10.1007/BF02961314]

[22] Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices [J].

Mourik, V. ;

Zuo, K. ;

Frolov, S. M. ;

Plissard, S. R. ;

Bakkers, E. P. A. M. ;

Kouwenhoven, L. P. .

SCIENCE, 2012, 336 (6084) :1003-1007

[23] 2n-quasihole states realize 2(n-1)-dimensional spinor braiding statistics in paired quantum Hall states [J].

Nayak, C ;

Wilczek, F .

NUCLEAR PHYSICS B, 1996, 479 (03) :529-553

[24] Helical Liquids and Majorana Bound States in Quantum Wires [J].

Oreg, Yuval ;

Refael, Gil ;

von Oppen, Felix .

PHYSICAL REVIEW LETTERS, 2010, 105 (17)

[25] Josephson coupling through a magnetic impurity [J].

Rozhkov, AV ;

Arovas, DP .

PHYSICAL REVIEW LETTERS, 1999, 82 (13) :2788-2791

[26] Gate-tuned normal and superconducting transport at the surface of a topological insulator [J].

Sacepe, Benjamin ;

Oostinga, Jeroen B. ;

Li, Jian ;

Ubaldini, Alberto ;

Couto, Nuno J. G. ;

Giannini, Enrico ;

Morpurgo, Alberto F. .

NATURE COMMUNICATIONS, 2011, 2

[27] Topological Superconductivity in CuxBi2Se3 [J].

Sasaki, Satoshi ;

Kriener, M. ;

Segawa, Kouji ;

Yada, Keiji ;

Tanaka, Yukio ;

Sato, Masatoshi ;

Ando, Yoichi .

PHYSICAL REVIEW LETTERS, 2011, 107 (21)

[28] Realizing a robust practical Majorana chain in a quantum-dot-superconductor linear array [J].

Sau, Jay D. ;

Das Sarma, S. .

NATURE COMMUNICATIONS, 2012, 3

[29] Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures [J].

Sau, Jay D. ;

Lutchyn, Roman M. ;

Tewari, Sumanta ;

Das Sarma, S. .

PHYSICAL REVIEW LETTERS, 2010, 104 (04)

[30] Supercurrent reversal in quantum dots [J].

Van Dam, Jorden A. ;

Nazarov, Yuli V. ;

Bakkers, Erik P. A. M. ;

De Franceschi, Silvano ;

Kouwenhoven, Leo P. .

NATURE, 2006, 442 (7103) :667-670

← 1 2 3 4 →