Hubbard Hamiltonian in the dimer representation Large-U case
Corresponding Author
M. Matlak
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorJ. Aksamit
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorB. Grabiec
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorW. Nolting
Institute of Physics, Humboldt University, 110 Invalidenstr., 10115 Berlin, Germany
Search for more papers by this authorCorresponding Author
M. Matlak
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorJ. Aksamit
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorB. Grabiec
Institute of Physics, Silesian University, 4 Uniwersytecka, 40-007 Katowice, Poland
Search for more papers by this authorW. Nolting
Institute of Physics, Humboldt University, 110 Invalidenstr., 10115 Berlin, Germany
Search for more papers by this authorAbstract
The nonperturbative approach, presented in this paper, can, in principle, be applied to clusters of any size, as well as, to another type of model Hamiltonians.
References
- [1]J. Hubbard, Proc. R. Soc. Lond. A, 276, 238 (1963); 281, 401 (1964).
- [2]T. Herrmann, and W. Nolting, J. Magn. Magn. Mater. 170, 253 (1997).
- [3]P. Fulde, Electron Correlations in Molecules and Solids (Springer, Berlin, 1995).
- [4]F. Gebhard, The Mott Metal-Insulator Transitions, in: Springer Tracts in Modern Physics (Springer, Berlin, 1997).
- [5]R. Micnas, J. Ranninger, and S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1990).
- [6]P.W. Anderson, Phys. Rev. 124 , 41 (1961).
- [7]W. Nolting, phys. stat. sol. (b) 96 , 11 (1976).
- [8]M. Matlak and W. Nolting, Z. Physik B 55, 103 (1984).
- [9]W. Kohn, Phys. Rev. 133, 171 (1964).
- [10]Y. Nagaoka, Phys. Rev. 147, 392 (1966).
- [11]L. Roth, Phys. Rev. 149, 306 (1966).
- [12]A.B. Harris and R.V. Lange, Phys. Rev. 157, 295 (1967).
- [13]D. Penn, Phys. Lett. A 26, 509 (1968).
- [14]L.G. Carron and G.W. Pratt, Rev. Mod. Phys. 40, 802 (1968).
- [15]W. Langer, M. Plischke, and D. Mattis, Phys. Rev. Lett. 23, 1448 (1969).
- [16]T.A. Kaplan and R.A. Bari, J. Appl. Phys. 41, 875 (1970).
- [17]J.B. Sokoloff, Phys. Rev. B 1, 1144 (1970).
- [18]D.J. Klein and W.A. Seitz, Phys. Rev. B 8, 2236 (1973).
- [19]P.B. Visscher, Phys. Rev. B 10, 943 (1974).
- [20]T. Ogawa, K. Kanda, and T. Matsubara, Prog. Theor. Phys. 53, 614 (1975).
- [21]J. Florencio Jr and K.A. Chao, Phys. Rev. Lett. 35, 741 (1975).
- [22]J. Florencio Jr and K.A. Chao, Phys. Rev. B 14, 3121 (1976).
- [23]K.A. Chao, J. Spalek, and A.M. Oleś, J. Phys. C 10, L271 (1977).
- [24]M. Takahashi, J. Phys. Soc. Jpn. 51, 3475 (1982).
- [25]V.Yu. Irkhin and M.I. Katsnelson, J. Phys. C 18, 4173 (1985).
- [26]B.S. Shastry and H.R. Krishnamurthy, P.W. Anderson, Phys. Rev. B 41, 2375 (1990).
- [27]E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
- [28]V.Yu. Irkhin and Yu.P. Irkhin, phys. stat. sol. (b) 183, 9 (1994).
- [29]H. Eskes and R. Eder, Phys. Rev. B 54, R14226 (1996).
- [30]V.Yu. Irkhin, Phys. Rev. B 57, 13375 (1998).
- [31]P.W. Anderson, Phys. Rev. 115, 2 (1959).
- [32]P.W. Anderson, in: Solid State Physics 14, edited by F. Seitz and D. Turnbull (Academic Press, New York, 1963), p. 99.
- [33]V.C. Cheng and S.H. Chen, Physica B 85, 299 (1977).
- [34]M. Matlak, phys. stat. sol. (b) 99, K 97 (1980).
- [35]B. Lorentz, phys. stat. sol. (b) 119, 555 (1983).
- [36]L.M. Falicov and R.H. Victor, Phys. Rev. B 30, 1695 (1984).
- [37]J. Callaway, D.P. Chen, and R. Tang, Phys Rev. B 35, 3705 (1987).
- [38]J. Callaway, D.P. Chen, and Y. Zhang, Phys. Rev. B 36, 2084 (1987).
- [39]G.M. Pastor, R. Hirsch, and B. Mühlschlegel, Phys. Rev. B 53, 10382 (1996).
- [40]S. Sachdev and R.N. Bhatt, Phys. Rev. B 41, 9323 (1990).
- [41]K. Park, S. Sachdev, Phys. Rev. B 64, 1845510 (2001).