Theory of resonant Raman scattering in one-dimensional electronic systems [25]

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 16, 2004, Pages 1-17

  Wang, D W ^a   Millis, A J ^b   Das Sarma, S ^c  

^a HARVARD UNIVERSITY   (United States)

^b Columbia University ^*  (United States)

^c Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; CHEMICAL INTERACTION; ELECTRONICS; EVALUATION; POLARIZATION; QUANTUM CHEMISTRY; RAMAN SPECTROMETRY; THEORETICAL STUDY;

EID: 11244324866     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.165101     Document Type: Article

References (53)

1. See, for example, A. Kanda, K. Tsukagoshi, Y. Aoyagi, and Y. Ootuka, Phys. Rev. Lett. 92, 036801 (2004); C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, ibid. 89, 037901 (2002), and references therein.
2. See, for example, A. Kanda, K. Tsukagoshi, Y. Aoyagi, and Y. Ootuka, Phys. Rev. Lett. 92, 036801 (2004); C. Bena, S. Vishveshwara, L. Balents, and M. P. A. Fisher, ibid. 89, 037901 (2002), and references therein.
3. A. Georges, T. Giamarchi, and N. Sandler, Phys. Rev. B 61, 16 393 (2000), and references therein.
4. F. Kassubek, C. A. Stafford, and H. Grabert, Phys. Rev. B 59, 7560 (1999).
5. See, for example, G. Fáth, Phys. Rev. B 68, 134445 (2003); R. M. Konik, ibid. 68, 104435 (2003), and references therein.
6. See, for example, G. Fáth, Phys. Rev. B 68, 134445 (2003); R. M. Konik, ibid. 68, 104435 (2003), and references therein.
7. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
8. A. Schmeller, A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 49, 14 778 (1994).
9. See, for example, Y. C. Chang, L. L. Chang, and L. Esaki, Appl. Phys. Lett. 47, 1324 (1985); A. R. Goñi, K. W. West, A. Pinczuk, H. U. Baranger, and H. L. Stormer, ibid. 61, 1956 (1992).
10. See, for example, Y. C. Chang, L. L. Chang, and L. Esaki, Appl. Phys. Lett. 47, 1324 (1985); A. R. Goñi, K. W. West, A. Pinczuk, H. U. Baranger, and H. L. Stormer, ibid. 61, 1956 (1992).
11. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950).
12. J. M. Luttinger, J. Math. Phys. 4, 1154 (1963).
13. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
14. O. M. Auslaender, A. Yacoby, R. De Picciotto, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Science 295, 825 (2002).
15. Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, Phys. Rev. Lett. 89, 136805 (2002); Phys. Rev. B 68, 125312 (2003).
16. Y. Tserkovnyak, B. I. Halperin, O. M. Auslaender, and A. Yacoby, Phys. Rev. Lett. 89, 136805 (2002); Phys. Rev. B 68, 125312 (2003).
17. H. W. Yeom, K. Horikoshi, H. M. Zhang, K. Ono, and R. I. G. Uhrberg, Phys. Rev. B 65, 241307 (2002); T. Mizokawa, K. Nakada, C. Kim, Z.-X. Shen, T. Yoshida, A. Fujimori, S. Horii, Y. Yamada, H. Ikuta, and U. Mizutani, ibid. 65, 193101 (2002).
18. H. W. Yeom, K. Horikoshi, H. M. Zhang, K. Ono, and R. I. G. Uhrberg, Phys. Rev. B 65, 241307 (2002); T. Mizokawa, K. Nakada, C. Kim, Z.-X. Shen, T. Yoshida, A. Fujimori, S. Horii, Y. Yamada, H. Ikuta, and U. Mizutani, ibid. 65, 193101 (2002).
19. J. E. Zucker, A. Pinczuk, D. S. Chemla, and A. C. Gossard, Phys. Rev. B 35, 2892 (1987); G. Danan, A. Pinczuk, J. P. Valladares, L. N. Pfeiffer, K. W. West, and C. W. Tu, ibid. 39, 5512 (1989).
20. J. E. Zucker, A. Pinczuk, D. S. Chemla, and A. C. Gossard, Phys. Rev. B 35, 2892 (1987); G. Danan, A. Pinczuk, J. P. Valladares, L. N. Pfeiffer, K. W. West, and C. W. Tu, ibid. 39, 5512 (1989).
21. J. K. Jain and P. B. Allen, Phys. Rev. Lett. 54, 947 (1985); 54, 2437 (1985); S. Das Sarma and E. H. Hwang, ibid. 81, 4216 (1998).
22. J. K. Jain and P. B. Allen, Phys. Rev. Lett. 54, 947 (1985); 54, 2437 (1985); S. Das Sarma and E. H. Hwang, ibid. 81, 4216 (1998).
23. J. K. Jain and P. B. Allen, Phys. Rev. Lett. 54, 947 (1985); 54, 2437 (1985); S. Das Sarma and E. H. Hwang, ibid. 81, 4216 (1998).
24. J. K. Jain and S. Das Sarma, Phys. Rev. B 36, 5949 (1987); Surf. Sci. 196, 466 (1988).
25. J. K. Jain and S. Das Sarma, Phys. Rev. B 36, 5949 (1987); Surf. Sci. 196, 466 (1988).
26. S. Das Sarma, in Light Scattering in Semiconductor Structures and Superlattices, edited by D. J. Lockwood and J. F. Young (Plenum, New York, 1991), p. 499.
27. D. Pines, and P. Nozieres, The Theory of Quantum Liquids (Benjamin, New York, 1966).
28. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Panicle Systems (McGraw-Hill, San Francisco, 1971).
29. A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 67, 3298 (1991).
30. C. Schüller, G. Biese, K. Keller, C. Steinebach, and D. Heitmann, Phys. Rev. B 54, R17 304 (1996).
31. A. Pinczuk, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Philos. Mag. B 70, 429 (1994), and references therein.
32. S. Das Sarma and D.-W. Wang, Phys. Rev. Lett. 83, 816 (1999).
33. M. Sassetti and B. Kramer, Phys. Rev. Lett. 80, 1485 (1998).
34. D.-W. Wang, A. J. Millis, and S. Das Sarma, Phys. Rev. Lett. 85, 4570 (2000).
35. I. K. Marmorkos and S. Das Sarma, Phys. Rev. B 45, 13 396 (1992).
36. P. A. Wolff, Phys. Rev. 171, 436 (1968); F. A. Blum, Phys. Rev. B 1, 1125 (1970).
37. P. A. Wolff, Phys. Rev. 171, 436 (1968); F. A. Blum, Phys. Rev. B 1, 1125 (1970).
38. H. J. Schulz, Phys. Rev. Lett. 71, 1864 (1993).
39. D.-W. Wang and S. Das Sarma, Phys. Rev. B 65, 035103 (2002).
40. D.-W. Wang and S. Das Sarma, Phys. Rev. B 65, 125322 (2002).
41. B. Jusserand, M. N. Vijayaraghavan, F. Laruelle, A. Cavanna, and B. Etienne, Phys. Rev. Lett. 85, 5400 (2000).
42. J. Voit, Rep. Prog. Phys. 58, 977 (1995).
43. P. A. Wolff, Phys. Rev. Lett. 16, 225 (1966).
44. J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Redwood, 1984).
45. We note that the typical temperature of the RRS experiment in quantum wire system is 1 K, about 0.02 of Fermi energy. Therefore it is comparable to the broadening parameter we choose in the calculation. However, since to the best of our knowledge, no theory can provide the details of the broadening effect from the first principle, we could not quantitatively compare the finite temperature effects with the homogeneous broadening originated from the interaction or any other reason. But it is evident that finite temperature effect always weakens the difference between a Luttinger liquid and a Fermi liquid, and therefore it is consistent with the conclusion we obtain in this paper at zero temperature.
46. D. W. Wang, A. J. Millis, and S. Das Sarma, Phys. Rev. B 64, 193307 (2001).
47. A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 67, 3298 (1991).
48. J. Rubio, J. M. Calleja, A. Pinczuk, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Solid State Commun. 125, 149 (2003).
49. I. E. Dzyaloshinsky and A. I. Larkin, Zh. Eksp. Teor. Fiz. 65, 411 (1973) [Sov. Phys. JETP 38, 202 (1974)].
50. I. E. Dzyaloshinsky and A. I. Larkin, Zh. Eksp. Teor. Fiz. 65, 411 (1973) [Sov. Phys. JETP 38, 202 (1974)].
51. D.-W. Wang, A. J. Millis, and S. Das Sarma, Solid State Commun. 131, 637 (2004).
52. S. Das Sarma and D. W. Wang, Phys. Rev. Lett. 84, 2010 (2000); D. W. Wang and S. Das Sarma, Phys. Rev. B 64, 195313 (2001).
53. S. Das Sarma and D. W. Wang, Phys. Rev. Lett. 84, 2010 (2000); D. W. Wang and S. Das Sarma, Phys. Rev. B 64, 195313 (2001).