Physical Review Letters
Print Issue of 16 December 2002

Phys. Rev. Lett. 89, 256401 (2002)


Full Text:  [  PDF (102 kB)   GZipped PS    Order Document  ]


Luttinger-Liquid Behavior in Tunneling through a Quantum Dot at Zero Magnetic Field

Paula Rojt,1 Yigal Meir,1,2 and Assa Auerbach3
1Physics Department, Ben Gurion University, Beer Sheva, 84105, Israel
2The Ilse Katz Center for Meso- and Nanoscale Science and Technology, Ben Gurion University, Beer Sheva, 84105, Israel
3Physics Department, Technion, Haifa 32000, Israel

(Received 3 July 2002; published 27 November 2002)

Thermodynamic and transport properties of a two-dimensional circular quantum dot are studied theoretically at zero magnetic field. In the limit of a large confining potential, where the dot spectrum exhibits a shell structure, it is argued that both spectral and transport properties should exhibit Luttinger liquid behavior. These predictions are verified by direct numerical diagonalization. The experimental implications of such Luttinger liquid characteristics are discussed. ©2002 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v89/e256401
doi:10.1103/PhysRevLett.89.256401
PACS: 71.10.Pm, 73.21.La, 73.23.Hk, 73.63.Kv        Additional Information


Full Text:  

References

Citation links [e.g., Phys. Rev. D 40, 2172 (1989)] go to online journal abstracts. Other links (see Reference Information) are available with your current login. Navigation of links may be more efficient using a second browser window.
  1. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950);
    J. M. Luttinger, J. Math. Phys. (N.Y.) 4, 1154 ( 1963).
  2. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 68, 1220 (1992);
    Phys. Rev. B 46, 15233 (1992).
  3. M. Bockrath et al., Nature (London) 397, 598 (1999); [INSPEC]
    Yao et al., Nature (London) 402, 273 (1999). [INSPEC]
  4. O. Auslaender et al., Phys. Rev. Lett. 84, 1764 (2000).
  5. X.-G. Wen, Phys. Rev. B 41, 12 838 (1991).
  6. A. M. Chang et al., Phys. Rev. Lett. 77, 2538 (1996);
    M. Grayson et al., Phys. Rev. Lett. 80, 1062 (1998);
    A. M. Chang et al., Phys. Rev. Lett. 86, 143 (2001);
    M. Grayson et al., Phys. Rev. Lett. 86, 2645 (2001).
  7. For a review on transport through quantum dots see, e.g., M. A. Kastner, Comments Condens. Matter Phys. 17, 349 (1996). [INSPEC]
  8. D. Goldhaber-Gordon et al., Nature (London) 391, 156 (1998); [INSPEC]
    S. M. Cronenwett et al., Science 281, 540 (1998); [INSPEC]
    J. Schmid et al., Physica (Amsterdam) B256–B258, 182 (1998); [INSPEC]
    P. Simmel et al., Phys. Rev. Lett. 83, 804 (1999).
  9. J. M. Kinaret et al., Phys. Rev. B 45, 9489 (1992);
    46, 4681 (1992).
  10. S. Tarucha et al., Phys. Rev. Lett. 77, 3613 (1996);
    L. P. Kouwenhoven et al., Science 278, 1788 (1997);
    D. G. Austing et al., Phys. Rev. B 60, 11514 (1999).
  11. By comparing to the full diagonalization for a small number of electrons, we can estimate the error in the minimal energy for a given angular momentum due to the subspace reduction to be less than 1%.
  12. See, e.g., G. D. Mahan, Many-Particle Physics (Plenum, New York, 1990).
  13. Y. Meir and N. S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992).
  14. D. H. Cobden and J. Nygard, Phys. Rev. Lett. 89, 046803 (2002).
  15. Song He and X. C. Xie, Phys. Rev. Lett. 80, 3324 (1998);
    Y. Meir, Phys. Rev. Lett. 83, 3506 (1999);
    J. Shi, Song He, and X. C. Xie, Phys. Rev. B 60, R13 950 (1999);
    Y. Meir, Phys. Rev. B 61, 16 470 (2000);
    63, 073108 (2001).
  16. E. Shimshoni and A. Auerbach, Phys. Rev. B 55, 9817 (1997);
    E. Shimshoni, A. Auerbach, and A. Kapitulnik, Phys. Rev. Lett. 80, 3352 (1998);
    E. Shimsoni, Phys. Rev. B 60, 10691 (1999).

  The American Physical Society is a member of CrossRef.


Full Text:  [  PDF (102 kB)   GZipped PS    Order Document  ]

[ Back To Hit List | Previous / Next search result abstract | Issue Table of Contents  | Top of Page]

Article Collection:  View Collection   Help
[ Homepage | Browse Available Volumes | Search | Subscriptions | Contact Information | Online Help | Exit ]