Abstract
We study a simple extension of the Heisenberg model which is abstracted from the large-U limit of the Hubbard Hamiltonian and includes charge fluctuations. An attempt is made to elucidate some basic features of the T = 0 phase diagram within a suitable 1/N expansion. We find that the ferromagnetic boundary dictated by a naive application of the Nagaoka, theorem is actually incorrect because of an instability induced by phase separation. We derive what we believe to be the correct ferromagnetic boundary for sufficiently high dimension, and provide a detailed description of the ensuing phase separation. We also find that a uniform canted antiferromangetic state is stable over a nontrivial region of the phase diagram. Potential implications of these results for the physics of the original Hubbard model are discussed briefly.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Present address: Center for Nonlinear Dynamics, and Department of Physics, University of Texas, Austin TX 78712, U.S.A.
Also at the Department of Physics, Washington University, St. Louis, MO 63130, U.S.A.
E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
Y. Nagaoka, Phys. Rev. 147, 392 (1966).
A.B. Harris and R.V. Lange, Phys. Rev. 157, 295 (1967).
N. Papanicolaou, Nucl. Phys. B 240, 281 (1984);
N. Papanicolaou, Nucl. Phys. B 305, 386 (1988).
P.B. Visscher, Phys. Rev. B 10, 943 (1974).
L.B. Ioffe and A.I. Larkin, Phys. Rev. B 37, 5730 (1988).
D. Foerster, Z. Phys. B-Condensed Matter 74, 295 (1989).
W.F. Brinkman and T.M. Rice, Phys. Rev. B 2, 1324 (1970).
J.R. Schrieffer, X.-G. Wen and S.-C. Zhang, Phys. Rev. Lett. 60, 944 (1988).
M. Marder, N. Papanicolaou, and G.C. Psaltakis, preprint (1989).
J.C. Maxwell, Nat u re, 11, (1874) 53; also in Collected Works, v. 2, (Dover, New York, 1952) p. 424; J.W. Gibbs, “On the Equilibrium of Heterogeneous Substances,” Trans. Conn. Acad. Arts. Sei. 3, 108 (1878); also in The Scientific Papers of J.W. Gibbs, ( Dover, New York, 1961 ).
S. Tang and J.E. Hirsch, Phys. Rev. B 39, 4548 (1989).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Marder, M., Papanicolaou, N., Psaltakis, G.C. (1991). Phase Separation in a t - J Model. In: Reiter, G., Horsch, P., Psaltakis, G.C. (eds) Dynamics of Magnetic Fluctuations in High-Temperature Superconductors. NATO ASI Series, vol 246. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7490-9_35
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7490-9_35
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-7492-3
Online ISBN: 978-1-4684-7490-9
eBook Packages: Springer Book Archive