Partial Ferromagnetism in the Hubbard Chain with Next-Nearest-Neighbor Hopping
- 15 May 2003
- journal article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 72 (5) , 1191-1196
- https://doi.org/10.1143/jpsj.72.1191
Abstract
We study the one-dimensional Hubbard model with next-nearest-neighbor hopping by means of the numerical diagonalization for finite-size clusters. It is found that the ground state is evidently partially spin-polarized in a wide region of intermediate values of on-site Coulomb repulsion, which provides the first example as a minimal model without orbital degeneracy. Analysis of correlation functions makes it clear that the partially spin-polarized states form a spin polaron. Polaron's size grows with the increasing interaction.Keywords
This publication has 15 references indexed in Scilit:
- Existence of Saturated Ferromagnetic and Spiral States in 1D Lieb-Ferrimagnetic Models away from Half-FillingJournal of the Physics Society Japan, 1999
- Spectral function of the spiral spin state in the trestle and ladder Hubbard modelPhysical Review B, 1998
- Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hoppingPhysical Review B, 1998
- Spatial structure of spin polarons in themodelPhysical Review B, 1998
- New Saturated Ferromagnetism in the Flat-Band Hubbard Model in High Electron FillingJournal of the Physics Society Japan, 1997
- Ferromagnetism in Hubbard models: Low density routeJournal of Low Temperature Physics, 1995
- Scaling properties of the ferromagnetic state in the Hubbard modelPhysical Review B, 1994
- I=∞ Hubbard Model on Finite LatticesJournal of the Physics Society Japan, 1982
- Ferromagnetism in a Narrow, Almost Half-FilledBandPhysical Review B, 1966
- Electron Correlation and Ferromagnetism of Transition MetalsProgress of Theoretical Physics, 1963