Title variants
Languages of publication
Abstracts
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.
Discipline
Journal
Year
Volume
Issue
Pages
405-407
Physical description
Dates
published
2018-03
Contributors
author
- Institute of Low Temperature and Structure Research, Polish Academy of Science, Okólna 2, 50-422 Wrocław, Poland
author
- Institute of Low Temperature and Structure Research, Polish Academy of Science, Okólna 2, 50-422 Wrocław, Poland
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
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv133n3p020kz