Enhanced pairing in doped quantum magnets with frustrated hole motion

Physical Review Letters

Volumn 93, Issue 19, 2004, Pages

  Poilblanc, Didier ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; DOPING (ADDITIVES); ELECTRON TUNNELING; FERROMAGNETISM; GREEN'S FUNCTION; KINETIC ENERGY; MAGNETS; MATHEMATICAL MODELS;

BRILLOUIN ZONES (BZ); COOPER PAIRS; DELOCALIZATION; ORBITAL SYMMETRIES;

QUANTUM THEORY;

EID: 19744370200     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.197204     Document Type: Article

References (33)

1. See, e.g., S. Chakravarty, A. Sudbo, P.W. Anderson, and S. Strong, Science 261, 337 (1993) and references therein.
2. P.W. Anderson, Phys. Rev. Lett. 64, 1839 (1990); see also E. Arrigoni, E. Fradkin, and S. A. Kilvelson, Phys. Rev. B 69, 214519 (2004).
3. P.W. Anderson, Phys. Rev. Lett. 64, 1839 (1990); see also E. Arrigoni, E. Fradkin, and S. A. Kilvelson, Phys. Rev. B 69, 214519 (2004).
4. S. Chakravarty, Phys. Rev. Lett. 49, 681 (1982).
5. A. P. Ramirez et al., Phys. Rev. Lett. 89, 067202 (2002); I. Mirebeau et al., Nature (London) 420, 54 (2002).
6. A. P. Ramirez et al., Phys. Rev. Lett. 89, 067202 (2002); I. Mirebeau et al., Nature (London) 420, 54 (2002).
7. S. E. Palmer and J. T. Chalker, Phys. Rev. B 64, 94412 (2001).
8. Since the 3D pyrochlore lattice bears different symmetries than the checkerboard lattice (e.g., a threefold rotation axis) some orbital symmetries (e.g., d-wave) might become irrelevant
9. N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989). Note that a plaquette VBS order could also occur on the Shastry-Sutherland lattice: see, e.g., C. H. Chung, J. B. Marston, and S. Sachdev, Phys. Rev. B 64, 134407 (2001).
10. N. Read and S. Sachdev, Phys. Rev. Lett. 62, 1694 (1989). Note that a plaquette VBS order could also occur on the Shastry-Sutherland lattice: see, e.g., C. H. Chung, J. B. Marston, and S. Sachdev, Phys. Rev. B 64, 134407 (2001).
11. Evidences for long-range quadrumer order are provided in J.-B. Fouet, M. Mambrini, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 67, 054411 (2003); see also W. Brenig and A. Honecker, Phys. Rev. B 65, 140407(R) (2002); B. Canals, Phys. Rev. B 65, 184408 (2002).
12. Evidences for long-range quadrumer order are provided in J.-B. Fouet, M. Mambrini, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 67, 054411 (2003); see also W. Brenig and A. Honecker, Phys. Rev. B 65, 140407(R) (2002); B. Canals, Phys. Rev. B 65, 184408 (2002).
13. Evidences for long-range quadrumer order are provided in J.-B. Fouet, M. Mambrini, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 67, 054411 (2003); see also W. Brenig and A. Honecker, Phys. Rev. B 65, 140407(R) (2002); B. Canals, Phys. Rev. B 65, 184408 (2002).
14. D. C. Johnston, J. Low Temp. Phys. 25, 145 (1976); C. P. Sun et al., Phys. Rev. B 70, 054519 (2004) and references therein.
15. D. C. Johnston, J. Low Temp. Phys. 25, 145 (1976); C. P. Sun et al., Phys. Rev. B 70, 054519 (2004) and references therein.
16. M. Hanawa et al., Phys. Rev. Lett. 87, 187001 (2001); Z. Hiroi, S. Yonezawa, and Y. Muraoka, J. Phys. Soc. Jpn. 73, 1651 (2004); S. Yonezawa, Y. Muraoka, Y. Matsushita, and Z. Hiroi, J. Phys. Soc. Jpn. 73, 819 (2004).
17. M. Hanawa et al., Phys. Rev. Lett. 87, 187001 (2001); Z. Hiroi, S. Yonezawa, and Y. Muraoka, J. Phys. Soc. Jpn. 73, 1651 (2004); S. Yonezawa, Y. Muraoka, Y. Matsushita, and Z. Hiroi, J. Phys. Soc. Jpn. 73, 819 (2004).
18. M. Hanawa et al., Phys. Rev. Lett. 87, 187001 (2001); Z. Hiroi, S. Yonezawa, and Y. Muraoka, J. Phys. Soc. Jpn. 73, 1651 (2004); S. Yonezawa, Y. Muraoka, Y. Matsushita, and Z. Hiroi, J. Phys. Soc. Jpn. 73, 819 (2004).
19. K. Takada et al., Nature (London) 422, 53 (2003).
20. Note that such a lattice is not bipartite and the hole dynamics depends in an essential way on the sign of t.
21. 4v-symmetric 4 × 4 cluster.
22. A. Läuchli and D. Poilblanc, Phys. Rev. Lett. 92, 236404 (2004).
23. In contrast, the highly frustrated Kagomé lattice exhibits holon-spinon deconfinement; see Ref. [14].
24. P. Béran, D. Poilblanc, and R. B. Laughlin, Nucl. Phys. B 473, 707 (1996), and references therein.
25. It is similar to Anderson localization by a disorder potential; P. W. Anderson, Phys. Rev. 109, 1492 (1958).
26. Although only k = 0 and nondegenerate irreducible representations have been considered, our search allows for different pairing amplitudes and/or signs on the void and crossed plaquettes. Note also that the orbital symmetry refers to one of the plaquette center.
27. D. Poilblanc, Phys. Rev. B 48, 3368 (1993); 49, 1477 (1994); P. W. Leung, Phys. Rev. B 65, 205101 (2002).
28. D. Poilblanc, Phys. Rev. B 48, 3368 (1993); 49, 1477 (1994); P. W. Leung, Phys. Rev. B 65, 205101 (2002).
29. D. Poilblanc, Phys. Rev. B 48, 3368 (1993); 49, 1477 (1994); P. W. Leung, Phys. Rev. B 65, 205101 (2002).
30. xy order).
31. At very large J/|t|, it is expected that the binding energy ∝ - J and all curves for both sign of t eventually merge.
32. J. Vidal, B. Douçot, R. Mosseri, and P. Butaud, Phys. Rev. Lett. 85, 3906 (2000).
33. J. Vidal and B. Douçot, Phys. Rev. B 65, 045102 (2002).