Nonlocal Conductance Spectroscopy of Andreev Bound States: Symmetry Relations and BCS Charges

被引:70
作者
Danon, Jeroen [1 ]
Hellenes, Anna Birk [2 ]
Hansen, Esben Bork [2 ]
Casparis, Lucas [2 ,3 ]
Higginbotham, Andrew P. [2 ,3 ]
Flensberg, Karsten [2 ]
机构
[1] Norwegian Univ Sci & Technol, Ctr Quantum Spintron, Dept Phys, NO-7491 Trondheim, Norway
[2] Niels Bohr Inst, Ctr Quantum Devices, DK-2100 Copenhagen, Denmark
[3] Univ Copenhagen, Niels Bohr Inst, Microsoft Quantum Copenhagen, DK-2100 Copenhagen, Denmark
基金
新加坡国家研究基金会;
关键词
MAJORANA; SUPERCONDUCTOR; DOT;
D O I
10.1103/PhysRevLett.124.036801
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two-terminal conductance spectroscopy of superconducting devices is a common tool for probing Andreev and Majorana bound states. Here, we study theoretically a three-terminal setup, with two normal leads coupled to a grounded superconducting terminal. Using a single-electron scattering matrix, we derive the subgap conductance matrix for the normal leads and discuss its symmetries. In particular, we show that the local and the nonlocal elements of the conductance matrix have pairwise identical antisymmetric components. Moreover, we find that the nonlocal elements are directly related to the local BCS charges of the bound states close to the normal probes and we show how the BCS charge of overlapping Majorana bound states can be extracted from experiments.
引用
收藏
页数:6
相关论文
共 46 条
[1]   Quantized Conductance at the Majorana Phase Transition in a Disordered Superconducting Wire [J].
Akhmerov, A. R. ;
Dahlhaus, J. P. ;
Hassler, F. ;
Wimmer, M. ;
Beenakker, C. W. J. .
PHYSICAL REVIEW LETTERS, 2011, 106 (05)
[2]   Transport Signatures of Quasiparticle Poisoning in a Majorana Island [J].
Albrecht, S. M. ;
Hansen, E. B. ;
Higginbotham, A. P. ;
Kuemmeth, F. ;
Jespersen, T. S. ;
Nygard, J. ;
Krogstrup, P. ;
Danon, J. ;
Flensberg, K. ;
Marcus, C. M. .
PHYSICAL REVIEW LETTERS, 2017, 118 (13)
[3]   Exponential protection of zero modes in Majorana islands [J].
Albrecht, S. M. ;
Higginbotham, A. P. ;
Madsen, M. ;
Kuemmeth, F. ;
Jespersen, T. S. ;
Nygard, J. ;
Krogstrup, P. ;
Marcus, C. M. .
NATURE, 2016, 531 (7593) :206-+
[4]   Quantum effects in Coulomb blockade [J].
Aleiner, IL ;
Brouwer, PW ;
Glazman, LI .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 358 (5-6) :309-440
[5]  
[Anonymous], ARXIV180905513
[6]   Detecting Majorana modes in one-dimensional wires by charge sensing [J].
Ben-Shach, Gilad ;
Haim, Arbel ;
Appelbaum, Ian ;
Oreg, Yuval ;
Yacoby, Amir ;
Halperin, Bertrand I. .
PHYSICAL REVIEW B, 2015, 91 (04)
[7]   Conductance of a superconducting Coulomb-blockaded Majorana nanowire [J].
Chiu, Ching-Kai ;
Sau, Jay D. ;
Das Sarma, S. .
PHYSICAL REVIEW B, 2017, 96 (05)
[8]   Experimentally accessible topological quality factor for wires with zero energy modes [J].
Clarke, David J. .
PHYSICAL REVIEW B, 2017, 96 (20)
[9]  
Das A, 2012, NAT PHYS, V8, P887, DOI [10.1038/NPHYS2479, 10.1038/nphys2479]
[10]   Majorana bound state in a coupled quantum-dot hybrid-nanowire system [J].
Deng, M. T. ;
Vaitiekenas, S. ;
Hansen, E. B. ;
Danon, J. ;
Leijnse, M. ;
Flensberg, K. ;
Nygard, J. ;
Krogstrup, P. ;
Marcus, C. M. .
SCIENCE, 2016, 354 (6319) :1557-1562