Heating effects in a chain of quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 7, 2010, Pages

  Glatz, A ^a   Beloborodov, I S ^b   Chtchelkatchev, N M ^a,c,d   Vinokur, V M ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b CALIFORNIA STATE UNIVERSITY   (United States)

^c INSTITUTE FOR HIGH PRESSURE PHYSICS   (Russian Federation)

^d LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957567917     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.075314     Document Type: Article

References (37)

1. A. Glatz and I. S. Beloborodov, Phys. Rev. B 81, 033408 (2010). 10.1103/PhysRevB.81.033408
2. F. Giazotto, T. T. Heikkila, A. Luukanen, A. M. Savin, and J. Pekola, Rev. Mod. Phys. 78, 217 (2006). 10.1103/RevModPhys.78.217
3. J. P. Pekola, F. Giazotto, and O. P. Saira, Phys. Rev. Lett. 98, 037201 (2007). 10.1103/PhysRevLett.98.037201
4. I. S. Beloborodov, A. V. Lopatin, F. W. J. Hekking, R. Fazio, and V. M. Vinokur, Europhys. Lett. 69, 435 (2005). 10.1209/epl/i2004-10355-6
5. A. Glatz and I. S. Beloborodov, Phys. Rev. B 79, 041404 (R) (2009) 10.1103/PhysRevB.79.041404
6. A. Glatz and I. S. Beloborodov, Phys. Rev. B 79, 235403 (2009). 10.1103/PhysRevB.79.235403
7. O.-P. Saira, M. Meschke, F. Giazotto, A. M. Savin, M. Möttönen, and J. P. Pekola, Phys. Rev. Lett. 99, 027203 (2007). 10.1103/PhysRevLett.99. 027203
8. I. S. Beloborodov, A. V. Lopatin, V. M. Vinokur, and K. B. Efetov, Rev. Mod. Phys. 79, 469 (2007). 10.1103/RevModPhys.79.469
9. I. S. Beloborodov, K. B. Efetov, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. Lett. 91, 246801 (2003). 10.1103/PhysRevLett.91.246801
10. K. B. Efetov and A. Tschersich, Europhys. Lett. 59, 114 (2002) 10.1209/epl/i2002-00166-9
11. K. B. Efetov and A. Tschersich, Phys. Rev. B 67, 174205 (2003). 10.1103/PhysRevB.67.174205
12. M. M. Fogler, S. V. Malinin, and Th. Nattermann, Phys. Rev. Lett. 97, 096601 (2006). 10.1103/PhysRevLett.97.096601
13. I. S. Beloborodov, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. B 72, 125121 (2005). 10.1103/PhysRevB.72.125121
14. N. M. Chtchelkatchev, V. M. Vinokur, and T. I. Baturina, Phys. Rev. Lett. 103, 247003 (2009) 10.1103/PhysRevLett.103.247003
15. arXiv:1003.6105 (unpublished).
16. Ya. I. Rodionov, I. S. Burmistrov, and N. M. Chtchelkatchev, arXiv:1003.5738 (unpublished).
17. A. I. Boukai, Y. Bunimovich, J. Tahir-Kheli, J. K. Yu, W. A. Goddard, and J. R. Heath, Nature (London) 451, 168 (2008). 10.1038/nature06458
18. L. Shi, D. Y. Li, C. H. Yu, W. Y. Jang, D. Kim, Z. Yao, P. Kim, and A. Majumdar, J. Heat Transfer 125, 881 (2003). 10.1115/1.1597619
19. E. A. Hoffmann, N. Nakpathomkun, A. I. Persson, H. Linke, H. A. Nilsson, and L. Samuelson, Appl. Phys. Lett. 91, 252114 (2007). 10.1063/1.2826268
20. D. V. Averin and A. A. Odintsov, Phys. Lett. A 140, 251 (1989). 10.1016/0375-9601(89)90934-1
21. A. A. Odintsov and Y. V. Nazarov, in Single Charge Tunneling, edited by, H. Grabert, and, M. H. Devoret, (Plenum, New York, 1992).
22. A. Glatz and I. S. Beloborodov, EPL 87, 57009 (2009). 10.1209/0295-5075/87/57009
23. L. Glazman and M. Pustilnik, in Quantum Dots: A Doorway to Nanoscale Physics, Lecture Notes in Physics Vol. 667, edited by, W. D. Heiss, (Springer, Berlin, 2005), p. 97.
24. V. Tripathi and Y. L. Loh, Phys. Rev. Lett. 96, 046805 (2006). 10.1103/PhysRevLett.96.046805
25. For quantum dot arrays the phonon length λ ph is on the order of grain size, λ ph ∼ a. See also discussion at the end of the paper.
26. In typical situations the parameter β is much larger than α.
27. A. F. Volkov and S. M. Kogan, Usp. Fiz. Nauk 96, 633 (1968)
28. A. F. Volkov and S. M. Kogan, [Sov. Phys. Usp. 11, 881 (1969)]. 10.1070/PU1969v011n06ABEH003780
29. A. V. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987). 10.1103/RevModPhys.59.941
30. M. Ovadia, B. Sacépé, and D. Shahar, Phys. Rev. Lett. 102, 176802 (2009) 10.1103/PhysRevLett.102.176802
31. D. Kalok, A. Bilusic, T. Baturina, V. Vinokur, and C. Strunk, arXiv:1004.5153 (unpublished).
32. A. Schmid, Z. Phys. 259, 421 (1973). 10.1007/BF01397378
33. M. Yu. Reizer and A. V. Sergeev, Sov. Phys. JETP 63, 616 (1986).
34. M. Yu. Reizer, Phys. Rev. B 40, 5411 (1989). 10.1103/PhysRevB.40.5411
35. A. Sergeev and V. Mitin, Phys. Rev. B 61, 6041 (2000). 10.1103/PhysRevB.61.6041
36. For comparison we used calibration data for LakeShore Cernox sensors, see, e.g., http://www.lakeshore.com/temp/sen/crtdts.html
37. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1965), Chap., p. 773.