Luttinger Liquid with Attraction and One Impurity: Exact Solution

封面

如何引用文章

全文:

开放存取 开放存取
受限制的访问 ##reader.subscriptionAccessGranted##
受限制的访问 订阅存取

详细

The exact solution to the problem of scattering of one-dimensional attracted fermions on a point impurity, which exists in the Kane–Fisher model is analyzed for a Luttinger parameter equal to 2. The expression obtained for the frequency dependence of the coefficient of fermion reflection from an impurity demonstrates impossibility of extrapolation of results for a relatively weak fermion–fermion interaction to the range of coupling constants on the order of unity.

作者简介

V. Afonin

Ioffe Institute, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

参考

  1. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950).
  2. J. Schwinger, Phys. Rev. 128, 2425 (1962).
  3. G. S. Danilov, I. T. Dyatlov, and V. Yu. Petrov, Zh. Eksp. Theor. Fiz. 78, 1314 (1980)
  4. Sov. Phys. JETP 51, 663 (1980).
  5. C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 15233 (1992).
  6. A. Furusaki and N. Nagaosa, Phys. Rev. B 47, 4631 (1993).
  7. L. I. Glazman, K. A. Matveev, and D. Yue, Phys. Rev. B 49, 1966 (1994).
  8. D. N. Aristov and P. W. W¨olfle, Phys. Rev. B 80, 045109 (2009).
  9. V. V. Afonin and V. Yu. Petrov, J. Phys.: Condens. Matter 30, 355601 (2018).
  10. A. Furusaki, Phys. Rev. B 56, 9352 (1997).
  11. P. Fendley, A.W.W. Ludwig, and H. Saleur, Phys. Rev. B 52, 8934 (1994).
  12. V. V. Afonin and V. Yu.Petrov, Pis'ma v ZhETF 97, 587 (2013).
  13. J. Bardeen, Phys. Rev. Lett. 6, 57 (1961).
  14. V. V. Afonin and V. Yu. Petrov, JETP Lett. 109, 762 (2019).
  15. Б. Л. Иоффе, УФН 178, 647 (2008).
  16. M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley (1996), pp. 654-656.
  17. V. V. Afonin and V. Yu. Petrov, JETP Lett. 101, 622 (2015).
  18. J. Hubbard, Phys. Rev. Lett. 3, 77 (1959).
  19. V. V. Afonin and S. V. Gantsevich, Cond. Mat. 4, 62 (2019); doi: 10.3390/condmat4030062.
  20. В. В. Афонин, В. Ю. Петров, ЖЭТФ 134, 637 (2008).
  21. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
  22. V. V. Afonin and V. Yu. Petrov, Found. Phys. 40, 190 (2010); doi: 10.1007/s10701-009-9385-7.
  23. H. Bateman and A. Erdelyi, Higher Transcendental Functions, Mc Graw-Hill Book Company, New York (1953), Vol. 2, p. 148.

补充文件

附件文件
动作
1. JATS XML

版权所有 © Russian Academy of Sciences, 2023