Abstract
Can phase separation be induced by strong electron correlations? We present a theorem that affirmatively answers this question in the Falicov-Kimball model away from half filling, for any dimension. In the ground state the itinerant electrons are spatially separated from the classical particles.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. M. Falicov and J. C. Kimball, Phys. Rev. Len. 22, 997 (1969).
J.C. Hubbard, Proc. R. Soc. London Sect. A 276, 238 (1963).
T. Kennedy and E. H. Lieb, Physica (Amsterdam), 138A, 320 (1986); 140A, 240 (1986).
U. Brandt and R. Schmidt, Z. Phys. B 63, 45 (1986); 67, 43 (1987).
Ch. Grutier and J. Jedrzejewski, and R Lemberger, J. Stat. Phys. 76, 913 (1992).
T. Kennedy, Rev. Math. Phys. 6, 901 (1994).
T. Kennedy, J. Stat. Phys. 91, 829 (1998).
K. Haller and T. Kennedy, J. Stat. Phys. 102, 15 (2001).
J. K. Freericks and L.M. Falicov, Phys. Rev. B 41, 2163 (1990).
V. J. Emery, S. A. Kivelson, and H. Q. Lin, Phys. Rev. Lett. 64, 475 (1990).
J. K. Freericks, E. H. Lieb, and D. Ueltschi, math-ph/ 0107003 [Commun. Math. Phys. (to be published)].
P. Lemberger, J. Phys. A 25, 715 (1992).
U. Brandt and C. Mielsch, Z. Phys. B 82, 37 (1991); J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. 13 60, 1617 (1999).
P. Li and S.-T. Yau, Commun. Math. Phys. 88, 309 (1983).
E. H. Lieb and M. Loss, Analysis (American Mathematical Society, Providence, RI, 2001), 2nd edition.
Y. Nagaoka, Solid State Commun. 3, 409 (1965); H. Tasaki, Phys. Rev. B 40, 9192 (1989); A. Mielke, J. Phys. A 24, L73 (1991); 24, 3311 (1991); H. Tasaki, Phys. Rev. Lett. 69, 1608 (1992).
E. H. Lieb, Phys. Rev. Lett. 62, 1201 (1989).
C. Gruber, in Mathematical Results in Statistical Mechanics ( World Scientific, Singapore, 1999 ), p. 199.
K. Haller, Ph.D. dissertation, University of Arizona, 1998.
K. Haller, Commun. Math. Phys. 210, 703 (2000).
G. I. Watson and R. Lemaiiski, J. Phys. Condens Matter. 7, 9521 (1995).
Z. Gajek, J. Jedrzejewski, and R. Lemaríski, Physics (Amsterdam) 223A, 175 (1996); Phase Transit. 57, 139 (1996).
Ch. Gruber, D. Ueltschi, and J. Jedrzejewski, Stat. Phys. 76, 125 (1994).
J. K. Freericks, Ch. Gruber, and N. Macris, Phys. Rev. B 53, 16189 (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Freericks, J.K., Lieb, E.H., Ueltschi, D. (2004). Phase Separation due to Quantum Mechanical Correlations. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Condensed Matter Physics and Exactly Soluble Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06390-3_9
Download citation
DOI: https://doi.org/10.1007/978-3-662-06390-3_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06093-9
Online ISBN: 978-3-662-06390-3
eBook Packages: Springer Book Archive