Comparison of the Multi-Band Hubbard and Heisenberg Models on Small Finite Clusters

• Authors: J. Matysiak , R. Lemański
• Languages of publication: EN

Abstracts

EN

We perform exact numeric calculations for a few versions of the two-orbital Hubbard model on the four site cluster. We show that the conventional spin 1 Heisenberg Hamiltonian can be obtained in the strong coupling limit, but only for some versions of the two-orbital Hubbard model. Then we propose a modified version of the Heisenberg Hamiltonian, that we call the two-orbital Heisenberg model, which is relevant in those cases, where the conventional spin 1 Heisenberg model fails.

Keywords

EN

31.15.vq   75.10.Jm   75.10.Pq  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 3
• Pages: 405-407

Dates

published

2018-03

References

• [1] A.H. MacDonald, S.M. Girvin, D. Yoshioka, Phys. Rev. B 37, 9753 (1988), doi: 10.1103/PhysRevB.37.9753
• [2] C.L. Cleveland, R. Medina, Am. J. Phys. 44, 44 (1976), doi: 10.1119/1.10537
• [3] K.A. Chao, J. Spałek, A.M. Oleś, J. Phys. C 10, L271 (1977), doi: 10.1016/0375-9601(77)90702-2
• [4] K. A. Chao, J. Spałek, A. M. Oleś, Phys. Rev. B 18, 3453 (1978), doi: 10.1103/physrevb.18.3453
• [5] R. Micnas, J. Ranninger, S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1991), doi: 10.1103/revmodphys.62.113
• [6] E. Manousakis, Rev. Mod. Phys. 63, 1 (1991), doi: 10.1103/revmodphys.63.1
• [7] M. Affronte et al., Phys. Rev. B. 68, 1 (2003), doi: 10.1103/PhysRevB.68.104403
• [8] P. Kozłowski, G. Kamieniarz, J. Nanosci. Nanotechnol. 11, 9175, (2011), doi: 10.1166/jnn.2011.4301
• [9] B. Brzostowski, R. Lemański, T. Ślusarski, D. Tomecka, G. Kamieniarz, J. Nanopart. Res. 15, 1528 (2013), doi: 10.1007/s11051-013-1528-2
• [10] A. Chiesa, S. Carretta, P. Santini, G. Amoretti, E. Pavarini, Phys. Rev. Lett. 110, 15 (2013), doi: 10.1103/physrevlett.110.157204
• [11] C. Lacroix-Lyon-Caen, M. Cyrot, Solid State Commun. 21, 837 (1977), doi: 10.1016/0038-1098(77)91166-8
• [12] R. Frésard, G. Kotliar, Phys. Rev. B. 56, 12909 (1997), doi: 10.1103/physrevb.56.12909
• [13] J. Kim, M. Y. Choi, G. S. Jeon, Phys. Rev. B 92, 125127 (2015), doi: 10.1103/physrevb.92.125127
• [14] C. Castellani, C.R. Natoli, J. Ranninger, Phys. Rev. B 18, 4945 (1978), doi: 10.1103/physrevb.18.4945
• [15] J.M. Pizarro, M.J. Calderón, J. Liu, M.C. Muñoz, E. Bascones, Phys. Rev. B 95, 075115 (2017), doi: 10.1103/PhysRevB.95.075115

Identifiers

DOI

10.12693/APhysPolA.133.405