Title variants
Languages of publication
Abstracts
The one-dimensional attractive Hubbard model (Ułl 0) is discussed for the chains of N nodes and the same number of electrons, where N-1 of them have the same spin projection, assuming periodic boundary conditions and the half-filling case. Based on the analysis of the eigenvalue problem we provided the general analytical expression for the eigenvalues, for any number N. This formula implies the existence of two elementary particles with mutually dependent momenta on the ring with N sites the same number of electrons including N-1 of the same spin projection.
Journal
Year
Volume
Issue
Pages
170-172
Physical description
Dates
published
2015-08
References
- [1] J. Hubbard, Proc. R. Soc. A 276, 238 (1963), doi: 10.1098/rspa.1963.0204
- [2] M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963), doi: 10.1103/PhysRevLett.10.159
- [3] M.C. Gutzwiller, Phys. Rev. A 137, 1726 (1965), doi: 10.1103/PhysRev.137.A1726
- [4] M. Vojta, Rep. Prog. Phys. 66, 2069 (2003), doi: 10.1088/0034-4885/66/12/R01
- [5] The Theory of Superconductivity in the High-$T_c$ Cuprates, Eds. P.W. Anderson, S.B. Treiman, Princeton Series in Physics, Princeton Univ. Press 1997
- [6] M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason, Phys. Rev. A 70, 023612 (2004), doi: 10.1103/PhysRevA.70.023612
- [7] K. Kucab, G. Górski, J. Mizia, Physica C 490, 10 (2013), doi: 10.1016/j.physc.2013.04.016
- [8] E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968), doi: 10.1103/PhysRevLett.20.1445
- [9] C.N. Yang, Phys. Rev. Lett. 19, 1315 (1967), doi: 10.1103/PhysRevLett.19.1312
- [10] F.H.L. Essler, V.E. Korepin, K. Schoutens, Phys. Rev. Lett. 67, 3848 (1991), doi: 10.1103/PhysRevLett.67.3848
- [11] T. Lulek, B. Lulek, D. Jakubczyk, P. Jakubczyk, Physica B: Condens. Matter 382, 162 (2006), doi: 10.1016/j.physb.2006.02.015
- [12] J. Milewski, B. Lulek, T. Lulek, Phys. Status Solidi B 244, 2497 (2007), doi: 10.1002/pssb.200674634
- [13] D. Jakubczyk, Acta Phys. Pol. B 44, 1921 (2013), doi: 10.5506/APhysPolB.44.1921
- [14] D. Jakubczyk, Acta Phys. Pol. B 45, 1759 (2014), doi: 10.5506/APhysPolB.45.1759
- [15] D. Jerome, C.R. Pasquier, Frontiers in Superconducting Materials, Ed. A.V. Narlikar, Springer, Berlin 2005
- [16] S.R.J.F. Clark, Strongly Correlated One-Dimensional Systems of Cold Atoms in Optical Lattices, Trinity College, Oxford 2007
- [17] D. Jakubczyk, Mod. Phys. Lett. B 26, 1150005 (2012), doi: 10.1142/S0217984911500059
- [18] B. Lulek, T. Lulek, A. Wal, P. Jakubczyk, Physica B 337, 375 (2003), doi: 10.1142/S0217984911500059
- [19] F.H.L. Essler, H. Frahm, F. Göhmann, A. Klümper, V.E. Korepin, The One-Dimensional Hubbard Model, Cambridge University Press, Cambridge 2005
- [20] A.B. Eriksson, T. Einarsson, S. Ostlund, Phys. Rev. B 52, 3662 (1995), doi: 10.1103/PhysRevB.52.3662
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv128n208kz
Identifiers