Calculation of the field and temperature dependence of the c-axis plasmon in (formula presented)

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 5, 1999, Pages 3896-3901

  Hwang, I ^a   Stroud, D ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243849921     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.3896     Document Type: Article

References (31)

1. K. Tamasaku, et al., Phys. Rev. Lett. 69, 1455 (1992)
2. Phys. Rev. Lett.K. Tamasaku, et al., 72, 3088 (1994).
3. O. K. C. Tsui, et al., Phys. Rev. Lett. 73, 724 (1994)
4. Phys. Rev. Lett.O. K. C. Tsui, et al., 76, 819 (1996).
5. Y. Matsuda, et al., Phys. Rev. Lett. 75, 4512 (1995)
6. Phys. Rev. Lett.Y. Matsuda, et al., 78, 1972 (1997).
7. M. Tachiki, et al., Phys. Rev. B 50, 7065 (1994).
8. L. N. Bulaevskii, et al., Phys. Rev. Lett. 74, 801 (1995)
9. L. N. Bulaevskii, et al., Phys. Rev. B 53, 6634 (1996)
10. L. N. Bulaevskii, et al., Phys. Rev. Lett. 76, 1719 (1996)
11. L. N. Bulaevskii, Phys. Rev. B 55, 8482 (1997).
12. A. E. Koshelev, Phys. Rev. Lett. 77, 3901 (1996).
13. R. Šášik and D. Stroud, Phys. Rev. Lett. 72, 2462 (1994).
14. R. Šášik and D. Stroud, Phys. Rev. Lett. 75, 2582 (1995).
15. J. Hu and A. H. MacDonald, Phys. Rev. B 56, 2788 (1997) and references cited therein.
16. See, e.g., J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Chap. 6.
17. Z. Tes̆anović, et al., Phys. Rev. Lett. 67, 2729 (1991).
18. Y. Kato and N. Nagaosa, Phys. Rev. B 47, 2932 (1993).
19. J. A. O’Neill and M. A. Moore, Phys. Rev. Lett. 69, 2582 (1992).
20. (Formula presented) has previously been determined for a clean lattice using the criterion that the helicity modulus component (Formula presented) i.e., the z component of the superfluid density, should vanish at (Formula presented) (Ref. 7). As shown in that paper, the sharp Bragg spots of the vortex lattice also vanish at this same temperature in a clean lattice. The transverse components of the helicity modulus tensor are zero even in the solid phase of the clean lattice, because, in the absence of pinning, the lattice can slide freely in the (Formula presented) plane.
21. W. Walkenhorst, et al., Phys. Rev. B 56, 8396 (1997).
22. T. Hanaguri, et al., Phys. Rev. Lett. 78, 3177 (1997).
23. M. Kosugi, et al., Phys. Rev. Lett. 79, 3763 (1997).
24. D. R. Nelson and V. M. Vinokur, Phys. Rev. Lett. 68, 2398 (1992).
25. M. P. A. Fisher, Phys. Rev. Lett. 62, 1415 (1989).
26. L. Civale, et al., Phys. Rev. Lett. 67, 648 (1991).
27. We briefly discuss the numerical uncertainties in the values of (Formula presented) calculated in the liquid state. First, in the clean system, the statistical uncertainties arising from the Monte Carlo procedure, at any given temperature, are probably less than 10% even in the liquid state—that is, an extremely long Monte Carlo run on a system of the same size would give a number within 10% of the value shown in the graph. The statistical uncertainties in the disordered system are not much larger than this for any given realization; the seemingly large uncertainties are mostly due to the variation in (Formula presented) from one realization to another in our rather small system. Thus, our numerical results indicate with a high degree of certainty that (Formula presented) is nonzero in much of the liquid phase, for both clean samples and samples with random columnar disorder.
28. K. H. Lee, et al., Phys. Rev. B 48, 1233 (1993).
29. L. I. Glazman and A. E. Koshelev, Phys. Rev. B 43, 2835 (1991).
30. A. E. Koshelev, L. I. Glazman, and A. I. Larkin, Phys. Rev. B 53, 2786 (1996).
31. R. Šášik and D. Stroud, Phys. Rev. B 48, 9938 (1993).