On the Exact Solution for a Luttinger Liquid with Repulsion and a Single Point Impurity

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Resumo

The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.

Sobre autores

V. Afonin

Ioffe Institute, Russian Academy of Sciences

Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

V. Petrov

Ioffe Institute

Autor responsável pela correspondência
Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

Bibliografia

  1. C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 15233 (1992).
  2. A. Furusaki and N. Nagaosa, Phys. Rev. B 47, 4631 (1993).
  3. A. Furusaki, Phys. Rev. B 56, 9352 (1997).
  4. L. I. Glazman, K. A. Matveev, and Yue D, Phys. Rev. B 49, 1966 (1994).
  5. P. Fendley, A.W.W. Ludwig, and H. Saleur, Phys. Rev. B 52, 8934 (1995).
  6. P. Fendley, A.W.W. Ludwig, and H. Saleur, Phys. Rev. Lett. 74, 3005 (1995).
  7. В. В. Афонин, В. Ю. Петров, Письма в ЖЭТФ 97, 587 (2013).
  8. В. В. Афонин, ЖЭТФ 163, 238 (2023).
  9. M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley (1996).
  10. S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics, W. A. Benjamin Inc, New York-Amsterdam (1968).
  11. V. J. Emery, in Highly Conducting One-Dimensional Solids, Plenum Press, New York (1979), p. 327.
  12. L. D. Landau, Sov. Phys. JETP 7, 19 (1937).
  13. В. В. Афонин, В. Ю. Петров, ЖЭТФ 101, 637 (2008).
  14. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
  15. V. V. Afonin and V. Yu. Petrov, Found. Phys. 40, 190 (2010).
  16. K.-V. Pham, M. Gabay, and P. Lederer, Fractional Excitations in the Luttinger Liquid, Phys. Rev. B 61, 1637 (2000).
  17. А. Ф. Андреев, ЖЭТФ 46, 1823 (1964).
  18. P. G. d'Gennes, Superconductivity of Mettals and Allows, W. A. Benjamin Inc., New York-Amsterdam (1966).
  19. В. В. Афонин, В. Ю. Петров, Письма в ЖЭТФ 109, 797 (2019).
  20. J. von Delft and H. Schoeller, cond-mat/9805275v3 (1998).
  21. H. Bateman and A. Erdelyi, Higher Transcendental Functions, New York, Mc. Graw-Hill Book Company (1953), Vol. 2, p. 148.

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