Majorana束缚态对正常金属/三量子点/超导结构输运性质的影响

doi:10.3969/j.issn.1000-1565.2020.05.005

河北大学学报(自然科学版) ›› 2020, Vol. 40 ›› Issue (5): 477-483.DOI: 10.3969/j.issn.1000-1565.2020.05.005

Majorana束缚态对正常金属/三量子点/超导结构输运性质的影响

秦芳,孙艳秀,王素新

收稿日期:2019-11-26 出版日期:2020-09-25 发布日期:2020-09-25
通讯作者: 王素新(1969—),女,河北承德人,河北民族师范学院教授,博士,主要从事凝聚态物理理论方向研究.E-mail:hbmzsfwsx@126.com
作者简介:秦芳(1979—),女,河北承德人,河北民族师范学院讲师,主要从事凝聚态物理理论方向研究. E-mail:qinfang1007@sina.com
基金资助:
河北省高等学校科学技术研究项目(Z2018029);河北民族师范学院科学技术研究项目(PT201610;DR201601)

Effect of Majorana bound states on transport properties of normal metal/triple quantum dots/superconductor structure

QIN Fang,SUN Yanxiu,WANG Suxin

Department of Physics and Electronic Engineering, Hebei Nomal University for Nationalities, Chengde 067000, China

Received:2019-11-26 Online:2020-09-25 Published:2020-09-25

摘要/Abstract

摘要： 正常金属/量子点/超导结构可以产生Andreev反射现象,如果在量子点上耦合Majorana束缚态(MBSs),其Andreev反射电导将发生特殊的变化,因而可用于探测MBSs.研究了MBSs对连接在正常金属和超导体之间的线型三量子点输运性质的影响,发现零费米能处的Andreev反射电导在不考虑MBSs之间的耦合时始终等于0.5G₀(G₀=2e²/h),不受量子点能级、量子点间耦合强度、量子点与电极之间耦合强度的影响,具有明显的鲁棒性.

关键词: Majorana束缚态, 三量子点, Andreev反射

Abstract: Andreev reflection can occur in normal metal/quantum dots/superconductor structures. If the Majorana bound states(MBSs)are coupled to the quantum dots of the structure, the Andreev reflected conductance will change in a special way and can be used to detect MBSs.In this paper, the effect of MBSs on the transport properties of linear triple quantum dots connected between normal metal and superconductor is studied.It is found that the Andreev reflection conductance at zero Fermi energy is always equal to 0.5 G₀(G₀=2e²/h)without considering the coupling between MBSs. And it is not affected by the quantum dot energy level, the coupling strength between quantum dots, and the coupling strength between quantum dots and electrodes, and it has obvious robustness.

Key words: Majorana bound states, triple quantum dots, Andreev reflection

中图分类号:

秦芳,孙艳秀,王素新. Majorana束缚态对正常金属/三量子点/超导结构输运性质的影响[J]. 河北大学学报(自然科学版), 2020, 40(5): 477-483.

QIN Fang,SUN Yanxiu,WANG Suxin. Effect of Majorana bound states on transport properties of normal metal/triple quantum dots/superconductor structure[J]. Journal of Hebei University (Natural Science Edition), 2020, 40(5): 477-483.

参考文献

[1] ALICEA J, OREG Y, REFAEL G, et al. Non-Abelian statistics and topological quantum information processing in 1D wire networks[J]. Nature Physics, 2011, 7(5):412-417. DOI:10.1038/nphys1915.
[2] FU L. Electron teleportation via Majorana bound states in a mesoscopic superconductor[J]. Physical Review Letters, 2010, 104(5):056402. DOI:10.1103/physrevlett.104.056402.
[3] FU L, KANE C L. Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction[J]. Physical Review B, 2009, 79(16):161408. DOI:10.1103/physrevb.79.161408.
[4] GONG W J, ZHANG S F, LI Z C, et al. Detection of a Majorana fermion zero mode by a T-shaped quantum-dot structure[J]. Physical Review B, 2014, 89(24):245413. DOI:10.1103/physrevb.89.245413.
[5] WANG S X, LI Y X, LIU J J. Resonant Andreev reflection in a normal-metal/quantum-dot/superconductor system with coupled Majorana bound states[J]. Chinese Physics B, 2016, 25(3): 037304. DOI:10.1088/1674-1056/25/3/037304.
[6] WANG N, LYU S H, LI Y X. Quantum transport through the system of parallel quantum dots with Majorana bound states[J]. Journal of Applied Physics, 2014, 115(8):083706. DOI:10.1063/1.4867040.
[7] LAW K T, LEE P A, NG T K. Majorana fermion induced resonant andreev reflection[J]. Physical Review Letters, 2009, 103(23):237001. DOI:10.1103/physrevlett.103.237001.
[8] ZOCHER B, ROSENOW B. Modulation of Majorana-induced current cross-correlations by quantum dots[J]. Physical Review Letters, 2013, 111(3): 036802. DOI:10.1103/physrevlett.111.036802.
[9] LIU J, WANG J, ZHANG F C. Controllable nonlocal transport of Majorana fermions with the aid of two quantum dots[J]. Physical Review B, 2014, 90(3): 035307-035313. DOI:10.1103/physrevb.90.035307.
[10] NILSSON J, AKHMEROV A R, BEENAKKER C W J. Splitting of a cooper pair by a pair of Majorana bound states[J]. Physical Review Letters, 2008, 101(12):120403. DOI:10.1103/physrevlett.101.120403.
[11] YU KITAEV A. Unpaired Majorana fermions in quantum wires[J]. Physics-Uspekhi, 2001, 44(S):131-136. DOI:10.1070/1063-7869/44/10s/s29.
[12] MEIR Y, WINGREEN N S, LEE P A. Low-temperature transport through a quantum dot: The Anderson model out of equilibrium[J]. Physical Review Letters, 1993, 70(17):2601. DOI:10.1103/physrevlett.70.2601.
[13] SUN Q F, WANG J, LIN T H. Resonant Andreev reflection in a normal-metal-quantum-dot-superconductor system[J]. Physical Review B, 1999, 59(5): 3831. DOI:10.1103/physrevb.59.3831.
[14] LEIJNSE M, FLENSBERG K. Scheme to measure Majorana fermion lifetimes using a quantum dot[J]. Physical Review B, 2011, 84(14):140501. DOI:10.1103/physrevb.84.140501.
[15] CUEVAS J C, MARTÍN-RODERO A, YEYATI A L. Hamiltonian approach to the transport properties of superconducting quantum point contacts[J]. Physical Review B, 1996, 54(10):7366. DOI:10.1103/physrevb.54.7366.
[16] HAUG H, JAUHO A P. Quantum kinetics in transport and optics of semiconductors[M]. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009:101-114. DOI:10.1007/978-3-540-73564-9_9.
[17] CAYSSOL J, MONTAMBAUX G. Incomplete Andreev reflection in a clean superconductor-ferromagnet-superconductor junction[J]. Physical Review B, 2005, 71(1):012507-012510. DOI:10.1103/physrevb.71.012507.
[18] FERRY D K, GOODINK S M, BIRD J. Transport in Nanostruc-tures[M]. Cambridge UK: Cambridge University Press, 2009: 183-188, 389-396.
[19] BARAN 'SKI J, DOMAN 'SKI T. Fano-type resonances induced by a boson mode in Andreev conductance[J]. Chinese Physics B, 2015, 24(1):017304. DOI:10.1088/1674-1056/24/1/017304.

Majorana束缚态对正常金属/三量子点/超导结构输运性质的影响

Effect of Majorana bound states on transport properties of normal metal/triple quantum dots/superconductor structure

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