Quantization of adiabatic pumped charge in the presence of superconducting lead

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 15, 2002, Pages 1-4

  Wang, Jian ^a   Wang, Baigeng ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

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Indexed keywords

EID: 85038316878     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.153311     Document Type: Article

References (34)

1. P.W. Brouwer, Phys. Rev. B 58, R10-135 (1998).
2. M. Switkes, et al., Science 283, 1905 (1999).
3. F. Zhou, B. Spivak, and B.L. Altshuler, Phys. Rev. Lett. 82, 608 (1999).
4. M. Wagner, Phys. Rev. Lett. 85, 174 (2000).
5. J.E. Avron, et al., Phys. Rev. B 62, R10-618 (2000).
6. I.L. Aleiner, B.L. Altshuler, and A. Kamenev, Phys. Rev. B 62, 10-373 (2000).
7. Y.D. Wei, J. Wang, and H. Guo, Phys. Rev. B 62, 9947 (2000).
8. M.G. Vavilov, V. Ambegaokar, and I.L. Aleiner, Phys. Rev. B 63, 195313 (2001).
9. P.W. Brouwer, Phys. Rev. B 63, 121303 (2001);
10. Phys. Rev. BM.L. Polianski and P.W. Brouwer, 64, 075304 (2001).
11. P. Sharma and C. Chamon, Phys. Rev. Lett. 87, 096401 (2001).
12. X.B. Wang and V.E. Kravtsov, Phys. Rev. B 64, 033313 (2001).
13. Y.D. Wei, et al., Phys. Rev. B 64, 115321 (2001).
14. D.J. Thouless, Phys. Rev. B 27, 6083 (1983).
15. Q. Niu, Phys. Rev. Lett. 64, 1812 (1990).
16. I.L. Aleiner and A.V. Andreev, Phys. Rev. Lett. 81, 1286 (1998).
17. T.A. Shutenko, I.L. Aleiner, and B.L. Altshuler, Phys. Rev. B 61, 10-366 (2000).
18. Y. Levinson, O. Entin-Wohlman, and P. Wolfle, Physica A 302, 335 (2001).
19. J. Wang, et al., Appl. Phys. Lett. 79, 3977 (2001).
20. A.F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1964)].
21. C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
22. A factor of 2 has been included for spin.
23. The units are fixed by setting (formula presented) in the following analysis. For the GaAs system with (formula presented), the energy uint is (formula presented).
24. This formula can be derived using the Keldysh nonequilibrium Green’s function method (see Ref. 24) and we have assumed that the Coulomb blockade effect can be neglected.
25. B.G. Wang, J. Wang, and H. Guo, Phys. Rev. B 65, 073306 (2002).
26. T. Gramespacher and M. Buttiker, Phys. Rev. B 61, 8125 (2000).
27. J. Wang, et al., Phys. Rev. B 64, 104508 (2001).
28. G.B. Lesovik, A.L. Fauchere, and G. Blatter, Phys. Rev. B 55, 3146 (1997).
29. D.S. Fisher and P.A. Lee, Phys. Rev. B 23, 6851 (1981).
30. J. Wang, Y.J. Wang, and H. Guo, Appl. Phys. Lett. 65, 1793 (1994).
31. M.K. Yip, J. Wang, and H. Guo, Z. Phys. B: Condens. Matter 104, 463 (1997).
32. V. Gasparian, T. Christen, and M. Buttiker, Phys. Rev. A 54, 4022 (1996).
33. Q.F. Sun, J. Wang, and T.H. Lin, Phys. Rev. B 59, 3831 (1999).
34. M. Moskalets and M. Buttiker, Phys. Rev. B 64, 201305 (2001).