Spectral Density of Cooper Pairs in Series Double Coupled Quantum Dots - Superconductor Josephson Junction
DOI:
https://doi.org/10.55544/sjmars.3.5.18Keywords:
Spectral Density, Cooper Pairs, Double Quantum Dots, Josephson Junction, SuperconductivityAbstract
We study the simple device of two laterally-coupled quantum dots, where one of quantum dot Connected with left superconductor lead and also connected right superconductor lead (QD1) and (QD2) are coupling to each other as Series quantum dots. The Spectral Density and Josephson current through this double quantum dots junction and formed between superconducting leads having s-wave symmetry of the superconducting order parameter is analysed. For this purpose, we have considered a renormalized Anderson model that includes the double coupled of the superconducting leads with quantum dots level and an attractive BCS-type effective interaction in superconducting leads. We have calculated the double-particle spectral function and Josephson current of the quantum dot, theoretical analysis.
References
[1] M.A.Reed,Quantum Dots, Scientific American 268, 118,(1993).
[2] A.Dhyani, B.S.Tewari, Ajay, Physica E, 42 162, (2009) .
[3] H. I. Jørgensen, T. Novotny, K. Grove-Rasmussen, K. Flensberg, and P. E. Lindelof, Nano Lett. 7, 2441 (2009) .
[4] A van Dam, Yu. V. Nazarov, E. P. A. M. Bakkers, S. De Franceschi, and L. P.Kouwenhoven, Nature 442, 667 (2006) .
[5] Meng T, Simon P and Florens S . Phys. Rev. B 79, 224521 (2009) .
[6] D.N. Zubarev, Usp. Fiz.Nauk, 71 (1960) .
[7] P.Ahalawat,P.K.Pathak,Ajay,Physica C , 455 ,46 (2007) .
[8] Vecino E, Mart´ın-Rodero A and Levy Yeyati A . Phys. Rev. B 68, 035105 (2003) .
[9] Affleck,I., Luitz D and Assaad F (2010) Phys. Rev. B 81 024509 (2010).
[10] L. Sohn, L.P. Kouwenhoven, G. Schon (Eds.), Mesoscopic Electron Transport, Kluwer, Dordrecht, (1997).
[11] L.I. Glazman, K.A. Matveev, Pis'mZ. JETP Lett. 49 , 659 (1989) .
[12] B.I. Spivak, S.A. Kivelson, Phys. Rev. B 43 , 3740 (1991) .
[13] C.B. Whan, T.P. Orlando, Phys. Rev. B 54, 5255 (1996) .
[14] A. Levy Yeyati, J.C. Cuevas, A. Lopez-Davalos, A.Martin-Rodero, Phys. Rev. B 55 R6137 (1997) [13] D.C. Ralph, C.T. Black, M. Tinkham, Phys. Rev. Lett. 74, 3241 (1995) .
[15] K.A. Matveev, et al., Phys. Rev. Lett. 70 , 2940 (1993).
[16] R. Bauernschmitt, J. Siewert, A. Odintsov, Yu.V. Nazarov,Phys. Rev. B 49, 4076 (1994) .
[17] R. Fazio, F.W.J. Hekking, A.A. Odintsov, Phys. Rev. B 53 , 6653 (1996).
[18] J. Siewert, G. Schon, Phys. Rev. B 54, 7424 (1996).
[19] S. Ishizaka, J. Sone, T. Ando, Phys. Rev. B 52, 8358 (1995).
[20] A.V. Rozhkov, D.P. Arovas, Phys. Rev. Lett. 82, 2788 (1999).
[21] J.-S. Caux, and A. Zagoskin, Phys. Rev. B 62, 1433 (2000).
[22] Anderson, P.W, Phys. Rev. 124, 41 (1961).
[23] Andreev, A. Sov. Phys. JETP 19, 1228 (1964) .
[24] J. M. Golden and B. I. Halperin, Phys. Rev.B 53, 3893 (1996).
[25] K. Flensberg, Phys. Rev.B 48, 11156 (1993).
[26] K. A. Matveev, Phys. Rev.B 51, 1743 (1995) .
[27] V. Ambegaokar,A.Baratoff,Phys.Rev.Lett.10, 486 (1963).
[28] Ding Guo-hui Chin Phys. Lett. 24, 2926 (2007).
[29] Y. Nisikawa, A. Oguri, J. of Physics-Conference Series 150 , 022066 (2009).
[30] R. Taranko, T. Kwapinski, Physica E,48, 157 (2013).
[31] A. Dhyani, B.S. Twari, Ajay Physica E 41, 1179 (2009) .
[32] C. Karresch, S. Andergassen Phys. Rev B 84, 134512 (2011).
[33] R. Zitko, J. Mravlje, K. Haul. Phys. Rev. Lett 108, 066602 (2012).
[34] K.J. Pototzky and E.K.U. Gross: Cond-mat,arXiv:1405.5984v1 (2014),
[35] Wei-Cheng Lee, W. Park, Hemood Z. Arham :Cond-mat.,arXiv:1405.6357 (2014),
[36] Wei-Cheng Lee, W. Park, Hemood Z. Arham :Cond-mat.,arXiv: (2019),
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Stallion Journal for Multidisciplinary Associated Research Studies
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
10.55544/sjmars
editor@sjmars.com | 
+91-8874396939
