Fractionally charged excitations on frustrated lattices

International Journal of Modern Physics B

Volumn 21, Issue 13-14, 2007, Pages 2215-2231

  Runge, E ^a   Pollmann, F ^b   Fulde, P ^b  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

Confinement; Fractional charge; Strongly correlated particles

Indexed keywords

EID: 34547420580     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217979207043609     Document Type: Conference Paper

References (26)

1. W. P. Su, J. R. Schrieffer and A. J. Heeger, Phys. Rev. Lett. 42, p. 1698 (1979).
2. R. B. Laughlin, Phys. Rev. Lett. 50, p. 1395 (1983).
3. P. Fulde, K. Penc and N. Shannon, Ann. Phys. (Leipzig) 11, p. 893 (2002).
4. S. Kondo, D. C. Johnston, C. A. Swenson, F. Borsa, A. V. Mahajan, L. L. Miller, T. Gu, A. I. Goldman, M. B. Maple, D. A. Gajewski, E. J. Freeman, N. R. Dilley, R. P. Dickey, J. Merrin, K. Kojima, G. M. Luke, Y. J. Uemura, O. Chmaissem and J. D. Jorgensen, Phys. Rev. Lett. 78, p. 3729 (1997).
5. W. Hofstetter, J. I. Chirac, P. Zoller, E. Demler and M. D. Lukin, Phys. Rev. Lett. 89, p. 220407 (2002).
6. G. Misguich and C. Lhuillier, cond-mat/0310405 (October 2003), in Ref. 7, p. 229ff.
7. H. T. Diep (ed.), Frustrated Spin Systems (World Scientific, Singapore, 2005).
8. M. Hermele, M. P. A. Fisher and L. Balents, Phys. Rev. B 69, p. 064404 (2004).
9. A. Läuchli and D. Poilblanc, Phys. Rev. Lett. 92, p. 236404 (2004).
10. N. Shannon, G. Misguich and K. Penc, Phys. Rev. B 69, p. 220403(R) (2004).
11. R. Moessner, O. Tchernyshyov and S. L. Sondhi, J. Stat. Phys. 116, p. 755 (2004).
12. P. W. Anderson, Phys. Rev. 102, p. 1008 (1956).
13. E. Runge and P. Fulde, Phys. Rev. B 70, p. 245113 (2004).
14. R. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, San Diego, 1982).
15. F. Pollmann, J. J. Betouras and E. Runge, Phys. Rev. B 73, p. 174417 (2006).
16. F. Pollmann, Charge Degrees of Freedom on Frustrated Lattices, Doctoral Dissertation, Technische Universität Ilmenau, (Ilmenau, Germany, 2006), http://nbn-resolving.de/urn/resolver.pl?urn=nbn: de:gbv:ilml-2006000140.
17. F. Pollmann, J. Betouras, K. Shtengel and P. Fulde, Phys. Rev. Lett. 97, p. 170407 (2006).
18. D. S. Rokhsar and A. A. Kivelson, Phys. Rev. Lett. 61, p. 2376 (1988).
19. K. Penc and N. Shannon, private communication and to be published (2006).
20. L. Pauling, Proc. Natl. Acad. Sci. 39, p. 551 (1953).
21. P. W. Anderson, Mater. Res. Bull. 8, p. 173 (1973).
22. F. Pollmann, E. Runge and P. Fulde, Phys. Rev. B 73, p. 125121 (2006).
23. E. R. Gagliano and C. A. Balseiro, Phys. Rev. Lett. 59, p. 2999 (1987).
24. R. N. Silver, H. Roeder, A. F. Voter and J. D. Kress, J. Comp. Phys. 124, p. 115 (1996).
25. F. Pollmann, J. J. Betouras, E. Runge and P. Fulde, Charge degrees in the quarterfilled checkerboard lattice, in Proceedings of ICM2006 (Kyoto, Aug. 20-25, 2006), (in print).
26. A. M. Polyakov, Nucl. Phys. B 120, p. 429 (1977).