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
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
收藏
页数:5
相关论文
共 36 条
[11]   Superconducting proximity effect in interacting double-dot systems [J].
Eldridge, James ;
Pala, Marco G. ;
Governale, Michele ;
Koenig, Juergen .
PHYSICAL REVIEW B, 2010, 82 (18)
[12]   Superconducting proximity effect and Majorana fermions at the surface of a topological insulator [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW LETTERS, 2008, 100 (09)
[13]   Adaptive tuning of Majorana fermions in a quantum dot chain [J].
Fulga, Ion C. ;
Haim, Arbel ;
Akhmerov, Anton R. ;
Oreg, Yuval .
NEW JOURNAL OF PHYSICS, 2013, 15
[14]   Carbon Nanotubes as Cooper-Pair Beam Splitters [J].
Herrmann, L. G. ;
Portier, F. ;
Roche, P. ;
Levy Yeyati, A. ;
Kontos, T. ;
Strunk, C. .
PHYSICAL REVIEW LETTERS, 2010, 104 (02)
[15]   Cooper pair splitter realized in a two-quantum-dot Y-junction [J].
Hofstetter, L. ;
Csonka, S. ;
Nygard, J. ;
Schoenenberger, C. .
NATURE, 2009, 461 (7266) :960-963
[16]   Non-abelian statistics of half-quantum vortices in p-wave superconductors [J].
Ivanov, DA .
PHYSICAL REVIEW LETTERS, 2001, 86 (02) :268-271
[17]   Andreev scattering, Zener tunneling, and anomalous ac Josephson effect in near-ballistic quasi-two-dimensional weak links -: art. no. 184504 [J].
Jacobs, A ;
Kümmel, R .
PHYSICAL REVIEW B, 2005, 71 (18)
[18]   Quantum supercurrent transistors in carbon nanotubes [J].
Jarillo-Herrero, P ;
van Dam, JA ;
Kouwenhoven, LP .
NATURE, 2006, 439 (7079) :953-956
[19]   Quasiparticle dynamics in ballistic weak links under weak voltage bias: an elementary treatment [J].
Kroemer, H .
SUPERLATTICES AND MICROSTRUCTURES, 1999, 25 (5-6) :877-889
[20]   Parity qubits and poor man's Majorana bound states in double quantum dots [J].
Leijnse, Martin ;
Flensberg, Karsten .
PHYSICAL REVIEW B, 2012, 86 (13)