Temperature-induced phase averaging in one-dimensional mesoscopic systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 3, 2007, Pages

  Jakobs, Severin G ^a   Meden, Volker ^b   Schoeller, Herbert ^a   Enss, Tilman ^c  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846485536     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.035126     Document Type: Article

References (27)

1. P. W. Anderson, D. J. Thouless, E. Abrahams, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.3519 22, 3519 (1980).
2. Y. Imry and N. S. Shiren, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.7992 33, 7992 (1986).
3. S. Pilgram, P. Samuelsson, H. Förster, and M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.066801 97, 066801 (2006).
4. L. Balents and R. Egger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.035310 64, 035310 (2001);
5. L. Balents and R. Egger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3464 85, 3464 (2000);
6. M. Fabrizio and A. O. Gogolin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.17827 51, 17827 (1995).
7. M. Bockrath, D. Cobden, J. Lu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature (London) NATUAS 0028-0836 10.1038/17569 397, 598 (1999);
8. Z. Yao, H. W. Ch. Postma, L. Balents, and C. Dekker, Nature (London) NATUAS 0028-0836 402, 273 (1999).
9. H. W. Ch. Postma, T. Teepen, Z. Yao, M. Grifoni, and C. Dekker, Science SCIEAS 0036-8075 10.1126/science.293.5535.1576 293, 76 (2001).
10. J. König and Y. Gefen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3855 86, 3855 (2001).
11. M. Braun, J. König, and J. Martinek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195345 70, 195345 (2004).
12. R. Landauer, IBM J. Res. Dev. IBMJAE 0018-8646 1, 223 (1957);
13. M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 57.1761 57, 1761 (1986);
14. M. Büttiker, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.12485 46, 12485 (1992);
15. Y. Imry, in Directions in Condensed Matter Physics, edited by, G. Grinstein, and, G. Mazenko, (World Scientific, Singapore, 1986), p. 101.
16. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995).
17. For strong hopping barriers, the reflection phases δi± contribute 2ka to φi, so that the condition of commensurability is to be formulated with Li +a or Ni +1 instead of Li or Ni.
18. T. Enss, V. Meden, S. Andergassen, X. Barnabé-Thériault, W. Metzner, and K. Schönhammer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.155401 71, 155401 (2005).
19. S. Andergassen, T. Enss, V. Meden, W. Metzner, U. Schollwöck, and K. Schönhammer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.075102 70, 075102 (2004).
20. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.15233 46, 15233 (1992).
21. D. Yue, L. I. Glazman, and K. A. Matveev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.1966 49, 1966 (1994).
22. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 45.1358 45, 1358 (1980).
23. We have neglected the contribution from the scaling of the bulk density of states since its power-law exponent is of second order in U and therefore usually smaller than the boundary one.
24. Temperature-induced phase averaging becomes effective for T vF/Li. For Li ∼1 μm and a semiconductor nanowire, vF/Li ∼0.5 K; for a metallic carbon nanotube, vF/Li ∼5 K.
25. M. Thorwart, M. Grifoni, G. Cuniberti, H. W. Ch. Postma, and C. Dekker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.196402 89, 196402 (2002);
26. Yu. V. Nazarov and L. I. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.126804 91, 126804 (2003);
27. D. G. Polyakov and I. V. Gornyi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035421 68, 035421 (2003).