Universal theory of nonlinear luttinger liquids

Science

Volumn 323, Issue 5911, 2009, Pages 228-231

  Imambekov, Adilet ^a   Glazman, Leonid I ^a  

^a Yale University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; QUANTUM MECHANICS; THEORETICAL STUDY;

ARTICLE; BOSON; DYNAMICS; HYDRODYNAMICS; LIQUID; MATHEMATICAL ANALYSIS; NONLINEAR SYSTEM; PREDICTION; PRIORITY JOURNAL; PROBABILITY; QUALITATIVE ANALYSIS; QUANTUM CHEMISTRY; THEORETICAL STUDY;

EID: 58149377654     PISSN: 00368075     EISSN: 10959203     Source Type: Journal    
DOI: 10.1126/science.1165403     Document Type: Article

References (30)

1. F. D. M. Haldane, Phys. Rev. Lett. 47, 1840 (1981).
2. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
3. T. Giamarchi, Quantum Physics in One Dimension (Oxford Univ. Press, New York, 2004).
4. M. Pustilnik, E. G. Mishchenko, L. I. Glazman, A. V. Andreev, Phys. Rev. Lett. 91, 126805 (2003).
5. O. M. Auslaender et al., Science 295, 825 (2002).
6. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950).
7. J. M. Luttinger, J. Math. Phys. 4, 1154 (1963).
8. D. C. Mattis, E. H. Lieb, J. Math. Phys. 6, 304 (1965).
9. I. E. Dzyaloshinskii, A. I. Larkin, Sov. Phys. JETP 38, 202 (1974).
10. A. Luther, I. Peschel, Phys. Rev. B 9, 2911 (1974).
11. Materials and methods are available as supporting material on Science Online.
12. E. Bettelheim, A. G. Abanov, P. Wiegmann, Phys. Rev. Lett. 97, 246402 (2006).
13. E. Bettelheim, A. G. Abanov, P. Wiegmann, J. Phys. A 41, 392003 (2008).
14. D. A. Abanin, L. S. Levitov, Phys. Rev. Lett. 93, 126802 (2004).
15. D. A. Abanin, L. S. Levitov, Phys. Rev. Lett. 94, 186803 (2005).
16. L.-M. Duan, Phys. Rev. Lett. 96, 103201 (2006).
17. T.-L. Dao, A. Georges, J. Dalibard, C. Salomon, I. Carusotto, Phys. Rev. Lett. 98, 240402 (2007).
18. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
19. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005).
20. R. G. Pereira et al., Phys. Rev. Lett. 96, 257202 (2006).
21. K. Samokhin, J. Phys. 10, L533 (1998).
22. M. Pustilnik, M. Khodas, A. Kamenev, L. I. Glazman, Phys. Rev. Lett. 96, 196405 (2006).
23. M. Khodas, M. Pustilnik, A. Kamenev, L. I. Glazman, Phys. Rev. B 76, 155402 (2007).
24. R. G. Pereira, S. R. White, I. Affleck, Phys. Rev. Lett. 100, 027206 (2008).
25. V. V. Cheianov, M. Pustilnik, Phys. Rev. Lett. 100, 126403 (2008).
26. A. Imambekov, L. I. Glazman, Phys. Rev. Lett. 100, 206805 (2008).
27. A. V. Rozhkov, Eur. Phys. J. B 47, 193 (2005).
28. A. V. Rozhkov, Phys. Rev. B 74, 245123 (2006).
29. A. V. Rozhkov, Phys. Rev. B 77, 125109 (2008).
30. We thank A. Kamenev and D. Abanin for useful discussions. This work was supported by U.S. Department of Energy grant no. DE-FG02-08ER46482.