Abstract
The electronic and magnetic properties of low-dimensional systems are investigated by using a saddle-point slave-boson approximation to the Hubbard model. A local approach based on a real-space expansion of the local Green’s function is presented. The changes in the electronic properties are determined as a function of the local coordination number z. Results are given for the magnetic moments, magnetic order, average number of double occupations and hopping renormalizations. The environment dependence of the electronic correlations is discussed.
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References
See, for instance, the papers on Magnetoelectronics,Physics Today, April 1995, p. 24ff.
V. Heine, in Solid State Physics, edited by H. Ehrenreich, F. Seitz, and D. Turnbull ( Academic, New York, 1980 ), Vol. 35, p. 1.
D. Tomânek, S. Mukherjee, and K. H. Bennemann, Phys. Rev. B 28, 665 (1983).
G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, Chem. Phys. Lett. 148, 459 (1988).
L. M. Falicov and G. A. Somorjai, Proc. Natl. Acad. Sci. USA 82, 2207 (1985).
D. R. Salahub and R. P. Messmer, Surf. Sci. 106, 415 (1981);
K. Lee, J. Callaway, and S. Dhar, Phys. Rev. B 30, 1724 (1985);
K. Lee, J. Callaway, K. Wong, R. Tang, and A. Ziegler, ibid. 31, 1796 (1985).
G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, Physica B 149, 22 (1988);
G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, Phys. Rev. B 40, 7642 (1989);
G. M. Pastor, J. Dorantes-Davila, and K. H. Bennemann, J. Dorantes-Davila, H. Dreyssé, and G. M. Pastor, Phys. Rev. B 46, 10432 (1992).
I. M. L. Billas, J. A. Becker, A. Châtelain, and W. A. (le Heer, Phys. Rev. Lett. 71, 4067 (1993);
I. M. L. Billas, A. Châtelain, and W. A. de Heer, Science 265, 1662 (1994);
J. P. Bucher, D. C. Douglas, and L. A. Bloomfield, Phys. Rev. Lett. 66, 3052 (1991);
J. P. Bucher, D. C. Douglas, and L. A. Bloomfield, Phys. Rev. B 45, 6341 (1992);
D. C. Douglass, A. J. Cox, J. P. Bucher, and L. A. Bloomfield, Phys. Rev. B 47, 12874 (1993);
FS. E. Apsel, J. W. Emert, J. Deng, and L. A. Bloomfield, Phys. Rev. Lett. 76, 1441 (1996).
A. J. Cox, J. G. Louderback, and L. A. Bloomfield, Phys. Rev. Lett. 71, 923 (1993);
A. J. Cox, J. G. Louderback, S. E. Apsel, and L. A. Bloomfield, Phys, Rev. B 49, 12295 (1994).
J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963);
J. Hubbard, Proc. R. Soc. London Ser. A 281, 401 (1964);
J. Kanamori, Prog. Theor. Phys. 30, 275 (1963);
M. C. Gntzwiller, Phys. Rev. Lett. 10, 159 (1963).
G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 57, 1362 (1986).
E. Munoz-Sandoval, J. Dorantes-Davila, and G. M. Pastor, submitted to Phys. Rev. B (1997).
R. Haydock, in Solid State Physics, edited by H. Ehrenreich, F. Seitz, and D. Turnbull, ( Academic, New York, 1980 ), Vol. 35, p. 215.
Y. Nagaoka, Solid State Commun. 3, 409 (1965);
D. J. Thouless, Proc. Phys. Soc. London 86, 893 (1965);
Y. Nagaoka, Phys. Rev. 147, 392 (1996);
H. Tasaki, Phys. Rev. 40, 9192 (1989).
A. Vega, J. Dorantes-Davila, G. M. Pastor, and L. C. Balbas, Z. Phys. 1) 19, 263 (1991).
S. M. M. Evans, Europhys. Lett. 20 53 (1992).
P. Denteneer and M. Blaauboer, J. Phys. Condens. Matter 7, 151 (1995).
M. Deeg, H. Fehske, and H. Biitner, Z. Phys. B 91, 31 (1993).
R. Frésard and K. Doll, Proceedings of NATO Advanced Research Workshop on the Physics and Mathematical Physics of the Hubbard Model, edited by Dionys Baeriswyl, David K. Campbell, Jose M. P. Carmelo, Francisco Guinea, and Enrique Louis NATO ASI Series, Series B: Physics 343, 385 ( Plenum Press, New York, 1995 ).
W. Zhang, M. Avignon, and K. IL Bennemann, Phys. Rev. B 45, 12 478 (1992).
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Sandoval, E.M., Dorantes-Dávila, J., Pastor, G.M. (1998). Slave-Boson Approach to Electron Correlations and Magnetism in Low-Dimensional Systems. In: Morán-López, J.L. (eds) Current Problems in Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9924-8_23
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