On the solutions of the infinite \(U\) Hubbard model through orthofermions. (English) Zbl 1209.82019
Summary: We reinforce our earlier arguments for the soundness of the orthofermion approach to the infinite \(U\) Hubbard model by studying the distribution and the partition functions for a system of noninteracting orthofermions as well as for two systems of noninteracting orthofermions coupled through inter system single particle hopping.
MSC:
| 82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
References:
| [1] | Ogata, M.; Shiba, H., Phys. Rev. B, 41, 2326 (1990) |
| [2] | Shiba, H.; Ogata, H., (Baskaran, G.; Ruckenstein, A. E.; Tosatti, E.; Lu, Yu., Strongly Correlated Electron Systems II. Strongly Correlated Electron Systems II, Progress in High Temperature Superconductivity, vol. 29 (1991), World Scientific: World Scientific Singapore), 31 |
| [3] | Fulde, P., Electron Correlations in Molecules and Solids, Solid State Sciences, vol. 100 (1995), Springer: Springer Berlin |
| [4] | Mishra, A. K., Phys. Rev. B, 63, 132405 (2001) |
| [5] | Mishra, A. K.; Rajasekaran, G., Pramana J. Phys., 36, 537 (1991) |
| [6] | Mishra, A. K.; Rajasekaran, G., Mod. Phys. Lett. A, 7, 3425 (1995) |
| [7] | Kishore, R., Am. J. Phys., 64, 87 (1996) |
| [8] | Bernasconi, J.; Rice, M. J.; Schneider, W. R.; Strassler, S., Phys. Rev. B, 12, 1090 (1975) |
| [9] | Klein, D. J., Phys. Rev. B, 8, 3452 (1973) |
| [10] | Mori, M.; Maekawa, S., Phys. Rev. Lett., 94, 137003 (2005) |
| [11] | Szirmai, E.; Solyom, J. |
| [12] | Zubarev, D. N., Sov. Phys. Usp., 3, 320 (1960) |
| [13] | Metzner, W.; Schmit, P.; Villhardt, D., Phys. Rev. B, 45, 2237 (1992) |
| [14] | di Stasio, M.; Morandi, G.; Tagliacozzo, A., Phys. Lett. A, 206, 211 (1995) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
