Abstract
The π-junction transition of a T-shaped double quantum dot system is investigated theoretically by using the nonequilibrium Green’s function method. It is found that the π-junction transition can occur with increasing the spin-flip strength. Furthermore, the π-junction in the system can be controlled by tuning the system parameters, such as the two quantum dot energy levels and the interdot coupling. These controlled π-junction transitions are interpreted in the picture of current-carrying density of states. When the main contributions to supercurrent is changed between the positive discrete spectrum and the negative continuous spectrum, the π-junction transitions can happen.
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L.P. Kouwenhoven, C.M. Markus, P.L. McEuen, S. Tarucha, R.M. Westervelt, N.S. Wingreen, in Mesoscopic Electon Transport, NATO Advanced Study Institute, Ser. E, edited by L.L. Sohn, L.P. Kouwenhoven, G. Schön (Kluwer, Dordrecht, 1997), Vol. 345
P. Jarillo-Herrero, J.A. van Dam, L.P. Kouwenhoven, Nature (London) 439, 953 (2006)
J.J.A. Baselmans, A.F. Morpurgo, B.J. Van Wees, T.M. Klapwijk, Nature (London) 397, 43 (1999)
G. Blatter, V.B. Geshkenbein, L.B. Ioffe, Phys. Rev. B 63, 174511 (2001)
T. Yamashita, K. Tanikawa, S. Takahashi, S. Maekawa, Phys. Rev. Lett. 95, 097001 (2005)
L.B. Ioffe, V.B. Geshkenbein, M.V. Feigel’man, A.L. Fauchére, G. Blatter, Nature (London) 398, 679 (1999)
J.E. Mooij, T.P. Orlando, L. Levitov, L. Tian, C.H. Van der Wal, S. Lloyd, Science 285, 1036 (1999)
C.H. Van der Wal, A.C.J. ter Haar, F.K. Wilhelm, R.N. Schouten, C.J.P.M. Harmans, T.P. Orlando, S. Lloyd, J.E. Mooij, Science 290, 773 (2000)
I. Chiorescu, Y. Nakamura, C.J.P.M. Harmans, J.E. Mooij, Science 299, 1869 (2003)
I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C.J.P.M. Harmans, J.E. Mooij, Nature (London) 431, 159 (2004)
J.A. Van Dam, Y.V. Nazarov, E.P.A.M. Bakkers, S. De Franceschi, L.P. Kouwenhoven, Nature (London) 442, 667 (2006)
B.I. Spivak, S.A. Kivelson, Phys. Rev. B 43, 3740 (1991)
S. Ishizaka, J. Sone, T. Ando, Phys. Rev. B 52, 8358 (1995)
A.V. Rozhkov, D.P. Arovas, Phys. Rev. Lett. 82, 2788 (1999)
A.A. Clerk, V. Ambegaokar, Phys. Rev. B 61, 9109 (2000)
A.V. Rozhkov, D.P. Arovas, Phys. Rev. B 62, 6687 (2000)
M.S. Choi, M. Lee, K. Kang, W. Belzig, Phys. Rev. B 70, 020502 (2004)
M.R. Buitelaar, T. Nussbaumer, C. Schönenberger, Phys. Rev. Lett. 89, 256801 (2002)
M.R. Buitelaar, W. Belzig, T. Nussbaumer, B. Babic, C. Brader, C. Schönenberger, Phys. Rev. Lett. 91, 057005 (2003)
A.I. Buzdin, Rev. Mod. Phys. 77, 935 (2005)
V.V. Ryazanov, V.A. Oboznov, A.Yu. Rusanov, A.V. Veretennikov, A.A. Golubov, J. Aarts, Phys. Rev. Lett. 86, 2427 (2001)
T. Kontos, M. Aprili, J. Lesueur, F. Genet, B. Stephanidis, R. Boursier, Phys. Rev. Lett. 89, 137007 (2002)
Y. Zhu, W. Li, T.H. Lin, Q.F. Sun, Phys. Rev. B 66, 134507 (2002)
H. Pan, T.H. Lin, Phys. Rev. B 75, 195305 (2007)
L.Y. Gorelik, S.I. Kulinich, R.I. Shekhter, M. Jonson, V.M. Vinokur, Phys. Rev. Lett. 95, 116806 (2005)
X. Cao, Y. Shi, X. Song, S. Zhou, H. Chen, Phys. Rev. B 70, 235341 (2004)
H. Pan, T.H. Lin, J. Phys: Condens. Matter 17, 5207 (2005)
J.P. Cleuziou, W. Wernsdorfer, V. Bouchiat, T. Ondarcuhu, M. Monthioux, Nature Nanotechnology 1, 53 (2006)
T.S. Kim, S. Hershfield, Phys. Rev. B 63, 245326 (2001)
Y. Tanaka, N. Kawakami, Phys. Rev. B 72, 085304 (2005)
A.P. Jauho, N.S. Wingreen, Y. Meir, Phys. Rev. B 50, 5528 (1994)
J.C. Cuevas, A. Martin-Rodero, A.L. Yeyati, Phys. Rev. B 54, 7366 (1996)
A.L. Yeyati, J.C. Cuevas, A. Lopez-Davalos, A. Martin-Rodero, Phys. Rev. B 55, R6137 (1997)
Q.F. Sun, B.G. Wang, J. Wang, T.H. Lin, Phys. Rev. B 61, 4754 (2000)
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Pan, H., Zhao, YH. Controlled π-junctions in a T-shaped double quantum dot system. Eur. Phys. J. B 70, 185–191 (2009). https://doi.org/10.1140/epjb/e2009-00195-2
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DOI: https://doi.org/10.1140/epjb/e2009-00195-2