Backscattering off a point impurity: Current enhancement and conductance greater than e2/h per channel

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 11, 2003, Pages 1153371-1153376

  Feldman, D E ^a,b   Gefen, Yuval ^c  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; ELECTRIC POTENTIAL; ENERGY; QUANTUM MECHANICS;

EID: 0038218048     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997).
2. A. Vishwanath and T. Senthil, Phys. Rev. B 63, 014506 (2001).
3. R. de Piccioto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 6647 (1997); L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997).
4. R. de Piccioto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 6647 (1997); L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997).
5. D.C. Mattis and E.H. Lieb, J. Math. Phys. 6, 304 (1965).
6. C.L. Kane and M.P.A. Fisher, Phys. Rev. B 46, 15 233 (1992).
7. y. Oreg and A.M. Finkelstein, Phys. Rev. Lett. 76, 4230 (1996).
8. B.L. Altshuler and L.I. Glazman, Science 283, 1864 (1999).
9. A.J. Kent, D.J. McKitterick, L.J. Challis, P. Hawker, C.J. Mellor, and M. Henini, Phys. Rev. Lett. 69, 1684 (1992); V.I. Talyanskii, J.M. Shilton, M. Pepper, C.G. Smith, C.J.B. Ford, E.H. Linfield, D.A. Ritchie, and G.A.C. Jones, Phys. Rev. B 56, 15 180 (1997).
10. A.J. Kent, D.J. McKitterick, L.J. Challis, P. Hawker, C.J. Mellor, and M. Henini, Phys. Rev. Lett. 69, 1684 (1992); V.I. Talyanskii, J.M. Shilton, M. Pepper, C.G. Smith, C.J.B. Ford, E.H. Linfield, D.A. Ritchie, and G.A.C. Jones, Phys. Rev. B 56, 15 180 (1997).
11. See, e.g., S. Datta and M.P. Anantram, Phys. Rev. B 45, 13761 (1992); Y. Levinson and P. Wolfle, Phys. Rev. Lett. 83, 1399 (1999).
12. See, e.g., S. Datta and M.P. Anantram, Phys. Rev. B 45, 13761 (1992); Y. Levinson and P. Wolfle, Phys. Rev. Lett. 83, 1399 (1999).
13. P. Sharma and C. Chamon, Phys. Rev. Lett. 87, 096401 (2001); D. Schmeltzer, Phys. Rev. B 63, 125332 (2001).
14. P. Sharma and C. Chamon, Phys. Rev. Lett. 87, 096401 (2001); D. Schmeltzer, Phys. Rev. B 63, 125332 (2001).
15. For reviews see, e.g., S. Rao and D. Sen, cond-mat/0005492 (unpublished); J. von Delft and H. Schoeler, Annalen Phys. 7, 225 (1998).
16. For reviews see, e.g., S. Rao and D. Sen, cond-mat/0005492 (unpublished); J. von Delft and H. Schoeler, Annalen Phys. 7, 225 (1998).
17. X.-G. Wen, Int. J. Mod. Phys. B 6, 1711 (1992).
18. J.M. Kinaret, Y. Meir, N.S. Wingreen, P.A. Lee, and X.-G. Wen, Phys. Rev. B 46, 4681 (1992).
19. + that win.
20. As a possible realization one may consider a polarized electron liquid or an edge state of a quantum Hall bar. For electrons with spin the effective Luttinger parameter g exceeds 1/2 and our effect does not show up.
21. C.de C. Chamon, D.E. Freed, and X.G. Wen, Phys. Rev. B 51, 2363 (1995), throughout the paper we follow the notation of this reference.
22. D.L. Maslov and M. Stone, Phys. Rev. B 52, 5539 (1995); V.V. Ponomarenko, ibid. 52, 8666 (1995); I. Safi and H.J. Schulz, ibid. 52, 17 040 (1995).
23. D.L. Maslov and M. Stone, Phys. Rev. B 52, 5539 (1995); V.V. Ponomarenko, ibid. 52, 8666 (1995); I. Safi and H.J. Schulz, ibid. 52, 17 040 (1995).
24. D.L. Maslov and M. Stone, Phys. Rev. B 52, 5539 (1995); V.V. Ponomarenko, ibid. 52, 8666 (1995); I. Safi and H.J. Schulz, ibid. 52, 17 040 (1995).
25. The electric potential φ in the point x is proportional to the energy cost of adding an infinitesimal charge to this point. From Hamiltonian (1) one finds that φ∼K(x)n(x), where K(x) is the interaction strength, n(x) the charge density. One sees that φ = 0 at K(x) = 0, i. e., in the regions where the electron-electron interaction is completely screened in the left and right parts of the wire. Thus, the voltage drop between these two regions is always zero. This does not contradict the fact that one can apply a finite voltage between the leads (reservoirs): the voltage drop occurs in the leads. Note also that the electric potential is nonzero in the region x L/2 in the center of the wire. It depends on x in a nonmonotonous way since φ=0 at x≫L.
26. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986); A. Kamenev, cond-mat/0109316 (unpublished).
27. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986); A. Kamenev, cond-mat/0109316 (unpublished).
28. F.P. Milliken, C.P. Umbach, and R.A. Webb, Solid State Commun. 97, 309 (1996).