- PII
- 10.31857/S0044451023020104-1
- DOI
- 10.31857/S0044451023020104
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 163 / Issue number 2
- Pages
- 238-259
- Abstract
- 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.
- Keywords
- Date of publication
- 15.02.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 36
References
- 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.
