Rectification and nonlinear transport in chaotic dots and rings

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 20, 2007, Pages

  Polianski, M L ^a   Buttiker M ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36049015423     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.205308     Document Type: Article

References (65)

1. V. I. Belinicher and B. I. Sturman, Usp. Fiz. Nauk UFNAAG 0042-1294 130, 415 (1980)
2. V. I. Belinicher and B. I. Sturman, [Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1980v023n03ABEH004703 23, 199 (1980)].
3. S. Washburn and R. A. Webb, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/8/004 55, 1311 (1992).
4. B. L. Altshuler and D. E. Khmelnitskii, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 42, 291 (1985)
5. [B. L. Altshuler and D. E. Khmelnitskii, JETP Lett. JTPLA2 0021-3640 42, 359 (1985)].
6. D. E. Khmelnitskii and A. I. Larkin, Phys. Scr., T PHSTER 0281-1847 T14, 4 (1986);
7. D. E. Khmelnitskii and A. I. Larkin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 91, 1815 (1986)
8. [D. E. Khmelnitskii and A. I. Larkin, Sov. Phys. JETP SPHJAR 0038-5646 64, 1075 (1986)].
9. D. Sánchez and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.106802 93, 106802 (2004).
10. B. Spivak and A. Zyuzin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.226801 93, 226801 (2004).
11. J. Wei, M. Shimogawa, Z. H. Wang, I. Radu, R. Dormaier, and D. H. Cobden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.256601 95, 256601 (2005).
12. C. A. Marlow, R. P. Taylor, M. Fairbanks, I. Shorubalko, and H. Linke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.116801 96, 116801 (2006).
13. R. Leturcq, D. Sánchez, G. Götz, T. Ihn, K. Ensslin, D. C. Driscoll, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.126801 96, 126801 (2006).
14. D. M. Zumbühl, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.206802 96, 206802 (2006).
15. L. Angers, E. Zakka-Bajjani, R. Deblock, S. Guéron, H. Bouchiat, A. Cavanna, U. Gennser, and M. Polianski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.115309 75, 115309 (2007).
16. L. Angers, A. Chepelianskii, R. Deblock, B. Reulet, and H. Bouchiat, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.075331 76, 075331 (2007).
17. D. Sánchez and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.201308 72, 201308 (R) (2005).
18. M. L. Polianski and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.156804 96, 156804 (2006).
19. A. De Martino, R. Egger, and A. M. Tsvelik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.076402 97, 076402 (2006).
20. M. L. Polianski and M. Büttiker, Physica E (Amsterdam) PELNFM 1386-9477 40, 67 (2007).
21. A. V. Andreev and L. I. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.266806 97, 266806 (2006).
22. B. Braunecker, D. E. Feldman, and F. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.085119 76, 085119 (2007).
23. A. Löfgren, C. A. Marlow, T. E. Humphrey, I. Shorubalko, R. P. Taylor, P. Omling, R. Newbury, P. E. Lindelof, and H. Linke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.235321 73, 235321 (2006).
24. V. I. Falko and D. E. Khmelnitsky, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 95, 328 (1989)
25. [V. I. Falko and D. E. Khmelnitsky, Sov. Phys. JETP SPHJAR 0038-5646 68, 186 (1989)].
26. A. A. Bykov, G. M. Gusev, Z. D. Kvon, D. I. Lubyshev, and V. P. Migal, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 49, 13 (1989)
27. [A. A. Bykov, G. M. Gusev, Z. D. Kvon, D. I. Lubyshev, and V. P. Migal, JETP Lett. JTPLA2 0021-3640 49, 13 (1989)].
28. J. Liu, M. A. Pennington, and N. Giordano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.1267 45, 1267 (1992).
29. J. J. Lin, R. E. Bartolo, and N. Giordano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.14231 45, 14231 (1992).
30. R. E. Bartolo, N. Giordano, X. Huang, and G. H. Bernstein, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.2384 55, 2384 (1997).
31. A. A. Bykov, Z. D. Kvon, L. V. Litvin, Yu. V. Nastaushev, V. G. Mansurov, V. P. Migal, and S. P. Moschenko, Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 58, 538 (1993)
32. [A. A. Bykov, Z. D. Kvon, L. V. Litvin, Yu. V. Nastaushev, V. G. Mansurov, V. P. Migal, and S. P. Moschenko, JETP Lett. JTPLA2 0021-3640 58, 543 (1993)];
33. A. A. Bykov, L. V. Litvin, N. T. Moshegov, and A. I. Toropov, Superlattices Microstruct. SUMIEK 0749-6036 10.1006/spmi.1996.0238 23, 1285 (1998).
34. P. W. Brouwer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R10135 58, R10135 (1998).
35. T. A. Shutenko, I. L. Aleiner, and B. L. Altshuler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10366 61, 10366 (2000).
36. M. H. Pedersen and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.12993 58, 12993 (1998).
37. P. W. Brouwer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.121303 63, 121303 (R) (2001).
38. M. G. Vavilov, V. Ambegaokar, and I. L. Aleiner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.195313 63, 195313 (2001).
39. J. Q. Zhang, S. Vitkalov, Z. D. Kvon, J. C. Portal, and A. Wieck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.226807 97, 226807 (2006).
40. L. DiCarlo, C. M. Marcus, and J. S. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.246804 91, 246804 (2003).
41. M. Switkes, C. M. Marcus, K. Campman, and A. C. Gossard, Science SCIEAS 0036-8075 10.1126/science.283.5409.1905 283, 1905 (1999).
42. M. Moskalets and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.205316 69, 205316 (2004);
43. M. Moskalets and M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.035324 72, 035324 (2005).
44. M. G. Vavilov, L. DiCarlo, and C. M. Marcus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.241309 71, 241309 (R) (2005) showed that the interference between parasitic rectification and quantum pumping produces current asymmetric to Φ→-Φ even in noninteracting dot.
45. C. W. J. Beenakker, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 69.731 69, 731 (1997).
46. I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00063-1 358, 309 (2002).
47. P. W. Brouwer and C. W. J. Beenakker, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531667 37, 4904 (1996).
48. M. L. Polianski and P. W. Brouwer, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/321 36, 3215 (2003).
49. M. Büttiker, A. Prêtre, and H. Thomas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.4114 70, 4114 (1993);
50. M. Büttiker, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/5/50/017 5, 9361 (1993);
51. M. Büttiker, H. Thomas, and A. Prêtre, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01307664 94, 133 (1994).
52. P. W. Brouwer, A. Lamacraft, and K. Flensberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.075316 72, 075316 (2005).
53. A. Löfgren, C. A. Marlow, I. Shorubalko, R. P. Taylor, P. Omling, L. Samuelson, and H. Linke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.046803 92, 046803 (2004).
54. T. Christen and M. Büttiker, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00145-8 35, 523 (1996).
55. E. P. Wigner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.98.145 98, 145 (1955);
56. F. T. Smith, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.349 118, 349 (1960).
57. A number of transport problems where the Wigner-Smith matrix plays an important role are reviewed in M. Büttiker and M. L. Polianski, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/49/008 38, 10559 (2005).
58. P. W. Brouwer, S. A. van Langen, K. M. Frahm, M. Büttiker, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.913 79, 913 (1997).
59. P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, Waves Random Media WRMEEV 0959-7174 10.1088/0959-7174/9/2/303 9, 91 (1999).
60. M. L. Polianski, M. G. Vavilov, and P. W. Brouwer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.245314 65, 245314 (2002).
61. P. W. Brouwer and M. Büttiker, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1997-00169-0 37, 441 (1997).
62. F. W. J. Hekking and J. P. Pekola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.056603 96, 056603 (2006).
63. V. E. Kravtsov and V. I. Yudson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.210 70, 210 (1993).
64. A. G. Aronov and V. E. Kravtsov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.13409 47, 13409 (1993).
65. V. I. Yudson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.115309 65, 115309 (2002).