SO(5) as a critical dynamical symmetry in the SU(4) model of high-temperature superconductivity

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 1, 2003, Pages 145151-1451511

  Wu, Lian Ao ^a,b   Guidry, Mike ^c   Sun, Yang ^c,e   Wu, Cheng Li ^d  

^a JILIN UNIVERSITY   (China)

^b UNIVERSITY OF TORONTO   (Canada)

^c UNIVERSITY OF TENNESSEE   (United States)

^d NATIONAL CENTER FOR THEORETICAL SCIENCES   (Taiwan)

^e UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; HIGH TEMPERATURE; MATHEMATICAL ANALYSIS; MATHEMATICS; PARTICULATE MATTER; PHYSICS; TECHNIQUE; THEORETICAL MODEL; THERMAL CONDUCTIVITY;

EID: 0037287851     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. S.-C. Zhang, Science 275, 1089 (1997).
2. C. L. Henley, Phys. Rev. Lett. 80, 3590 (1998).
3. S. Rabello, H. Kohno, E. Demler, and S.-C. Zhang, Phys. Rev. Lett. 80, 3586 (1998).
4. M. W. Guidry, L.-A. Wu, Y. Sun, and C.-L. Wu, Phys. Rev. B 63, 134 516 (2001).
5. The SU(4) model employs 16 generators closed under commutation that define the U(4) Lie algebra and a corresponding U(4) group. In addition to the three components of staggered magnetization and two for d-wave pairing, there are three spin operators, one charge operator, six spin-1 operators analogous to the Zhang π operators, and one operator that may be interpreted as generating charge-density waves. The U(4) group has the subgroup U(4)⊃U(1) X SU(4), where the U(1) factor may be identified with charge-density waves. Thus, because of the direct product structure, one can without loss of generality view the theory as an SU(4) theory describing superconductivity and antiferromagnetism, and global charge and spin conservation, with the U(1) charge-density wave sector treated independently (but the overall group structure implies that the lowest states of the symmetry-limit theory have no charge-density wave excitations).
6. C.-L. Wu, D. H. Feng, and M. W. Guidry, Adv. Nucl. Phys. 21, 227 (1994).
7. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, England, 1987).
8. F. Iachello and R. D. Levine, Algebraic Theory of Molecules (Oxford University Press, New York, 1995).
9. F. Iachello and P. Truini, Ann. Phys. (N.Y.) 276, 120 (1999).
10. R. Bijker, F. Iachello, and A. Leviatan, Ann. Phys. (N.Y.) 236, 69 (1994).
11. W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
12. R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972).
13. R. Gilmore, Rev. Mex. Fis. 23, 142 (1974).
14. A. M. Perelomov, Commun. Math. Phys. 26, 222 (1972).
15. J. R. Klauder, J. Math. Phys. 4, 1055 (1963).
16. R. J. Glauber, Phys. Rev. Lett. 10, 277 (1963).
17. The representation structure and relationship of SU(4) and SO(6) is discussed, for example, in J. N. Ginocchio, Ann. Phys. (N.Y.) 126, 234 (1980).
18. Charge density waves are forbidden in the unbroken-pair subspace with exact SU(4) symmetry. A relaxation of the exact symmetry or breaking pairs can lead to charge-density wave excitations in a more realistic theory. However, the clear ten dency of the SU(4) symmetry is to suppress charge-density waves in the lowest-lying states.
19. W.-M. Zhang, D. H. Feng, and J. N. Ginocchio, Phys. Rev. Lett. 59, 2032 (1987).
20. W.-M. Zhang, D. H. Feng, and J. N. Ginocchio, Phys. Rev. C 37, 1281 (1988).
21. W.-M. Zhang, C.-L. Wu, D. H. Feng, J. N. Ginocchio, and M. W. Guidry, Phys. Rev. C 38, 1475 (1988).
22. W.-M. Zhang, D. H. Feng, C.-L. Wu, H. Wu, and J. N. Ginocchio, Nucl. Phys. A 505, 7 (1989).
23. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, New York, 1980).
24. C.-L. Wu et al. (unpublished).
25. S.-C. Zhang, J. P. Hu, E. Arrigoni, W. Hanke, and A. Auerbach, Phys. Rev. B 60, 13 070 (1999).
26. Y. Sun, M. Guidry, L.-A. Wu, and C.-L. Wu, cond-mat/9912072 (unpublished).
27. T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).