Heat current in a parametric quantum pump

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 12, 2002, Pages 1253101-1253104

  Wang, Baigeng ^a   Wang, Jian ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELECTRIC CURRENT; ENERGY; HEAT; HEAT EXCHANGE; MATHEMATICAL ANALYSIS; PARAMETER; PUMP; QUANTUM MECHANICS; THEORY; TIME;

EID: 0037105178     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.125310     Document Type: Article

References (30)

1. P.W. Brouwer, Phys. Rev. B 58, R10 135 (1998).
2. M. Switkes, C. Marcus, K. Capman, and A.C. Gossard, 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, A. Elgart, G.M. Graf, and L. Sadun, 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); Y.D. Wei, J. Wang, H. Guo, and C. Roland, ibid. 64, 075304 (2001); J. Wang, Y.D. Wei, B.G. Wang, and H. Guo, Appl. Phys. Lett. 79, 3977 (2001).
8. Y.D. Wei, J. Wang, and H. Guo, Phys. Rev. B 62, 9947 (2000); Y.D. Wei, J. Wang, H. Guo, and C. Roland, ibid. 64, 075304 (2001); J. Wang, Y.D. Wei, B.G. Wang, and H. Guo, Appl. Phys. Lett. 79, 3977 (2001).
9. Y.D. Wei, J. Wang, and H. Guo, Phys. Rev. B 62, 9947 (2000); Y.D. Wei, J. Wang, H. Guo, and C. Roland, ibid. 64, 075304 (2001); J. Wang, Y.D. Wei, B.G. Wang, and H. Guo, Appl. Phys. Lett. 79, 3977 (2001).
10. M.G. Vavilov, V. Ambegaokar, and I.L. Aleiner, Phys. Rev. B 63, 195313 (2001).
11. P.W. Brouwer, Phys. Rev. B 63, 121303 (2001); M.L. Polianski and P.W. Brouwer, ibid. 64, 075304 (2001).
12. P.W. Brouwer, Phys. Rev. B 63, 121303 (2001); M.L. Polianski and P.W. Brouwer, ibid. 64, 075304 (2001).
13. P. Sharma and C. Chamon, Phys. Rev. Lett. 87, 096401 (2001).
14. X.B. Wang and V.E. Kravtsov, Phys. Rev. B 64, 033313 (2001).
15. I.L. Aleiner and A.V. Andreev, Phys. Rev. Lett. 81, 1286 (1998).
16. T.A. Shutenko, I.L. Aleiner, and B.L. Altshuler, Phys. Rev. B 61, 10 366 (2000).
17. Y. Levinson, O. Entin-Wohlman, and P. Wolfle, Physica A 302, 335 (2001).
18. M. Moskalets and M. Buttiker, Phys. Rev. B 64, 201305 (2001).
19. B.G. Wang, J. Wang, and H. Guo, Phys. Rev. B 65, 073306 (2002).
20. J. Wang and B.G. Wang, Phys. Rev. B 65, 153311 (2002).
21. B.G. Wang and J. Wang, Phys. Rev. B 65, 233319 (2002).
22. J.E. Avron, A. Elgart, G.M. Graf, and L. Sadun, Phys. Rev. Lett. 87, 236601 (2001).
23. M. Moskalets and M. Buttiker, Phys. Rev. B 66, 035306 (2002).
24. A. Alekseev, cond-mat/0201474 (unpublished).
25. +ω) is missing in Eq. (21) of Ref. 20. This can be easily understood from Eq. (6) of Ref. 16. Finally, in order to compare our result with that of Ref. 20 one should multiply 1/4 in Eqs. (21) and (39) of Ref. 20.
26. M.K. Yip, J. Wang, and H. Guo, Z. Phys. B: Condens. Matter 104, 463 (1997).
27. D.S. Fisher and P.A. Lee, Phys. Rev. B 23, 6851 (1981).
28. For the GaAs system with a = 1000A, the energy unit is E = 56 μeV.
29. p the pumped electric current.
30. M. Wagner, Phys. Rev. A 51, 798 (1995).