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A cuprate superconductor model based on the analogy with atomic nuclei was presented to have an su(3) algebraic structure by Iachello. Our previous work showed that the mean-field approximation Hamiltonian can be expressed as a linear function of the generator of su(3) algebra. Through the realization of the algebra generator, an sus(1,1) ⊕ sud(1,1) algebraic structure is shown. By using the unitary transformation of the coherent operator U(θ,φ), the gap equations and the eigenvalues of the reduced Hamiltonian are obtained. The analysis of the physical model through different algebraic structures leads to different particular results.
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Keywords:
- cuprate superconductors model /
- algebraic diagonalization method /
- gap equation /
- eigenvalues
[1] Muller K A 2002 Phil. Mag. Lett. 82 279
[2] Grayson Smith H, Wilhelm J O 1935 Rev. Mod. Phys. 4 237
[3] Schrieffer J R, Tinkham M 1999 Rev. Mod. Phys. 71 S313
[4] Keller H, Bussmann-Holder A, Muller K A 2008 Material Today 11 38
[5] Lake B, Rønnow H M, Christensen N B, Aeppli G, Lefmann K, McMorrow D F, Vorderwisch P, Smeibid P, MangKorntong N, Sasagawa T, Nohara M, Takagi H, Mason T E 2002 Nature 415 299
[6] Lee P A, Nagaosa N, Wen X G 2006 Rev. Mod. Phys. 78 17
[7] Müller K A 1995 Nature 377 133
[8] Müller K A 2004 J. Supercond. 17 3
[9] Iachello F 2002 Phil. Mag. Lett. 82 289
[10] Pan F, Zhang Y, Jin S, Draayer J P, GeML, Birman J L 2005 Phys. Lett. A 341 291
[11] Jin S, Xie B H, Zhang H, Birman J L, Ge M L 2006 Phil. Mag. Lett. 86 743
[12] Perez Bernal F, Iachello F 2008 Phys. Rev. A 77 03215
[13] Khasanov R, Sherlgelaya A, Maiuradze A, Mattina F L, Bussmann-Holder A, Keller H, Müller K A 2007 Phys. Rev. Lett. 98 057007
[14] Khasanov R, Strässle S, Picastro D, Masui T, Miyasaka S, Tajima, Bussmann-Holder A, Keller H 2007 Phys. Rev. Lett. 99 237601
[15] Dong X L, Hor P H, Zhou F, Zhao Z X 2008 Solid State Comm. 145 173
[16] Solomon A I, Feng Y, Penna V 1999 Phys. Rev. B 60 3044
[17] Zhang H B, Ge M L, Xue K 2002 J. Phys. A 35 L7
[18] ZhangWM, Feng D X, Gilmore R 1990 Rev. Mod. Phys. 62 867
[19] Jie Q L, Wang S J, Wei L F 1997 J. Phys. A 30 6147
[20] Feng H R, Li P, Zheng Y J, Ding S L 2010 Acta Phys. Sin. 59 5246(in Chinese)[冯海冉,李鹏,郑雨军,丁世良 2010 59 5246]
[21] Jin S, Xie B H 2006 Acta Phys. Sin. 55 3880(in Chinese)[金硕, 解炳昊 2006 55 3880]
[22] Jin S, Xie B H, Yu Z X, Hou J M 2008 Commun. Theor. Phys. 49
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[1] Muller K A 2002 Phil. Mag. Lett. 82 279
[2] Grayson Smith H, Wilhelm J O 1935 Rev. Mod. Phys. 4 237
[3] Schrieffer J R, Tinkham M 1999 Rev. Mod. Phys. 71 S313
[4] Keller H, Bussmann-Holder A, Muller K A 2008 Material Today 11 38
[5] Lake B, Rønnow H M, Christensen N B, Aeppli G, Lefmann K, McMorrow D F, Vorderwisch P, Smeibid P, MangKorntong N, Sasagawa T, Nohara M, Takagi H, Mason T E 2002 Nature 415 299
[6] Lee P A, Nagaosa N, Wen X G 2006 Rev. Mod. Phys. 78 17
[7] Müller K A 1995 Nature 377 133
[8] Müller K A 2004 J. Supercond. 17 3
[9] Iachello F 2002 Phil. Mag. Lett. 82 289
[10] Pan F, Zhang Y, Jin S, Draayer J P, GeML, Birman J L 2005 Phys. Lett. A 341 291
[11] Jin S, Xie B H, Zhang H, Birman J L, Ge M L 2006 Phil. Mag. Lett. 86 743
[12] Perez Bernal F, Iachello F 2008 Phys. Rev. A 77 03215
[13] Khasanov R, Sherlgelaya A, Maiuradze A, Mattina F L, Bussmann-Holder A, Keller H, Müller K A 2007 Phys. Rev. Lett. 98 057007
[14] Khasanov R, Strässle S, Picastro D, Masui T, Miyasaka S, Tajima, Bussmann-Holder A, Keller H 2007 Phys. Rev. Lett. 99 237601
[15] Dong X L, Hor P H, Zhou F, Zhao Z X 2008 Solid State Comm. 145 173
[16] Solomon A I, Feng Y, Penna V 1999 Phys. Rev. B 60 3044
[17] Zhang H B, Ge M L, Xue K 2002 J. Phys. A 35 L7
[18] ZhangWM, Feng D X, Gilmore R 1990 Rev. Mod. Phys. 62 867
[19] Jie Q L, Wang S J, Wei L F 1997 J. Phys. A 30 6147
[20] Feng H R, Li P, Zheng Y J, Ding S L 2010 Acta Phys. Sin. 59 5246(in Chinese)[冯海冉,李鹏,郑雨军,丁世良 2010 59 5246]
[21] Jin S, Xie B H 2006 Acta Phys. Sin. 55 3880(in Chinese)[金硕, 解炳昊 2006 55 3880]
[22] Jin S, Xie B H, Yu Z X, Hou J M 2008 Commun. Theor. Phys. 49
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