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The elementary excitation spectra of the one-dimensional spin-1/2 XY model in the ferrimagnetic diamond chain at low temperature are calculated by using invariant eigenvector in this paper. And the elementary excitation energies in different cases are discussed. Therefore, analytic solutions of the three critical magnetic field intensities HC1, HC2 and Hpeak in the system are given. It is found that the analytic solutions of three critical magnetic field intensities are correct from the law of the magnetization changing with temperature under different external magnetic fields, and it is explained by the contributions of the three elementary excitations to the magnetization. The external magnetic field dependent magnetization presents a 1/3 magnetized plateau at low temperature. The variation of magnetic susceptibility either with temperature or with external magnetic field shows a double peak structure, this phenomenon indicates that the double peak structure originates from the competition among the ferromagnetic exchange interaction energy of intramolecular electronic spin parallel arrangement in dimer, the antiferromagnetic exchange interaction energy of intermolecular electronic spin antiparallel arrangement in dimer-monomer, the thermal disorder energy and the spin magnetic moment potential energy related to external magnetic field.
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Keywords:
- one-dimensional spin-1/2 XY model in the ferrimagnetic diamond chain /
- magnetization /
- magnetic susceptibility /
- invariant eigenvector method
[1] Shiomi D, Nishizawa M, Sato K, Takui T, Itoh K, Sakurai H, Izuoka A, Sugawara T 1997 J. Phys. Chem. B 101 3342
[2] Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T, Ohta H 2005 Phys. Rev. Lett. 94 227201
[3] Maekawa K, Shiomi D, Ise T, Sato K, Takui T 2005 J. Phys. Chem. B 109 9299
[4] Fu H H, Yao K L, Liu Z L 2006 Phys. Rev. B 73 104454
[5] Fu H H, Yao K L, Liu Z L 2006 Phys. Lett. A 358 443
[6] Jeschke H, Opahle I, Kandpal H, Valent R, Das H, Saha-Dasgupta T, Janson O, Rosner H, Brühl A, Wolf B, Lang M, Richter J, Hu S, Wang X, Peters R, Pruschke T, Honecker A 2011 Phys. Rev. Lett. 106 217201
[7] Rule K C, Wolter A U B, Sullow S, Tennant D A, Brühl A, Köhler S, Wolf B, Lang M, Schreuer J 2008 Phys. Rev. Lett. 100 117202
[8] Schollwöck U 2005 Rev. Mod. Phys. 77(1) 259
[9] Gu B, Su G 2007 Phys. Rev. B 75 174437
[10] Chen S, Wang Y P, Ning W Q, Wu C J, Lin H Q 2006 Phys. Rev. B 74 174424
[11] Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[12] Maisinger K, Schollwock U, Brehmer S, Mikeska H J, Shoji Y 1998 Phys. Rev. B 58 R5908
[13] Batista C D, Ortiz G 2001 Phys. Rev. Lett. 86 1082
[14] Fan H Y, Li C 2004 Phys. Lett. A 321 75
[15] Fan H Y, Wu H 2005 Mod. Phys. Lett. B 19 1361
[16] Fan H Y, Yuan H C, Wu H 2011 Invariant Eigen-Operator Method in Quantum Mechanics (Shanghai: Shanghai Jiao Tong University Press) pp175-193 (in Chinese) [范洪义, 袁洪春, 吴昊 2011 量子力学的不变本征算符方法 (上海: 上海交通大学出版社) 第175-193页]
[17] Schmidt K P, Uhrig G S 2003 Phys. Rev. Lett. 90 227204
[18] Derzhko O, Richter J, Krokhmalskii T, Zaburannyi O 2004 Phys. Rev. E 69 066112
[19] Venuti L C, Roncaglia M 2010 Phys. Rev. A 81 060101
[20] Schwalm W A, Schwalm M K, Giona M 1997 Phys. Rev. E 55 6741
[21] Bao S Q, Hu Z, Shen J L, Yang G Z 1996 Phys. Rev. B 53 735
[22] Gildenblat G 1985 Phys. Rev. B 32 3006
[23] Cavallo A, Cosenza F, de Cesare L 2002 Phys. Rev. B 66 174439
[24] Cavallo A, Cosenza F, de Cesare L 2001 Phys. Rev. Lett. 87 240602
[25] Wang Y Z, Zhang Z D 2002 Solid State Commun. 124 215
[26] Jacobs I S 1961 J. Appl. Phys. 32 61S
[27] He Z Z, Yutaka U 2008 Phys. Rev. B 77 052402
[28] Wang X, Zotos X, Karadamoglou J, Papanicolaou N 2000 Phys. Rev. B 61 14303
[29] Karadamoglou J, Papanicolaou N 1999 Phys. Rev. B 60 9477
[30] Sakai T 1999 Phys. Rev. B 60 6238
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[1] Shiomi D, Nishizawa M, Sato K, Takui T, Itoh K, Sakurai H, Izuoka A, Sugawara T 1997 J. Phys. Chem. B 101 3342
[2] Kikuchi H, Fujii Y, Chiba M, Mitsudo S, Idehara T, Tonegawa T, Okamoto K, Sakai T, Kuwai T, Ohta H 2005 Phys. Rev. Lett. 94 227201
[3] Maekawa K, Shiomi D, Ise T, Sato K, Takui T 2005 J. Phys. Chem. B 109 9299
[4] Fu H H, Yao K L, Liu Z L 2006 Phys. Rev. B 73 104454
[5] Fu H H, Yao K L, Liu Z L 2006 Phys. Lett. A 358 443
[6] Jeschke H, Opahle I, Kandpal H, Valent R, Das H, Saha-Dasgupta T, Janson O, Rosner H, Brühl A, Wolf B, Lang M, Richter J, Hu S, Wang X, Peters R, Pruschke T, Honecker A 2011 Phys. Rev. Lett. 106 217201
[7] Rule K C, Wolter A U B, Sullow S, Tennant D A, Brühl A, Köhler S, Wolf B, Lang M, Schreuer J 2008 Phys. Rev. Lett. 100 117202
[8] Schollwöck U 2005 Rev. Mod. Phys. 77(1) 259
[9] Gu B, Su G 2007 Phys. Rev. B 75 174437
[10] Chen S, Wang Y P, Ning W Q, Wu C J, Lin H Q 2006 Phys. Rev. B 74 174424
[11] Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[12] Maisinger K, Schollwock U, Brehmer S, Mikeska H J, Shoji Y 1998 Phys. Rev. B 58 R5908
[13] Batista C D, Ortiz G 2001 Phys. Rev. Lett. 86 1082
[14] Fan H Y, Li C 2004 Phys. Lett. A 321 75
[15] Fan H Y, Wu H 2005 Mod. Phys. Lett. B 19 1361
[16] Fan H Y, Yuan H C, Wu H 2011 Invariant Eigen-Operator Method in Quantum Mechanics (Shanghai: Shanghai Jiao Tong University Press) pp175-193 (in Chinese) [范洪义, 袁洪春, 吴昊 2011 量子力学的不变本征算符方法 (上海: 上海交通大学出版社) 第175-193页]
[17] Schmidt K P, Uhrig G S 2003 Phys. Rev. Lett. 90 227204
[18] Derzhko O, Richter J, Krokhmalskii T, Zaburannyi O 2004 Phys. Rev. E 69 066112
[19] Venuti L C, Roncaglia M 2010 Phys. Rev. A 81 060101
[20] Schwalm W A, Schwalm M K, Giona M 1997 Phys. Rev. E 55 6741
[21] Bao S Q, Hu Z, Shen J L, Yang G Z 1996 Phys. Rev. B 53 735
[22] Gildenblat G 1985 Phys. Rev. B 32 3006
[23] Cavallo A, Cosenza F, de Cesare L 2002 Phys. Rev. B 66 174439
[24] Cavallo A, Cosenza F, de Cesare L 2001 Phys. Rev. Lett. 87 240602
[25] Wang Y Z, Zhang Z D 2002 Solid State Commun. 124 215
[26] Jacobs I S 1961 J. Appl. Phys. 32 61S
[27] He Z Z, Yutaka U 2008 Phys. Rev. B 77 052402
[28] Wang X, Zotos X, Karadamoglou J, Papanicolaou N 2000 Phys. Rev. B 61 14303
[29] Karadamoglou J, Papanicolaou N 1999 Phys. Rev. B 60 9477
[30] Sakai T 1999 Phys. Rev. B 60 6238
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