New Self-Consistency Relation between the Correlation Energy and the Momentum Distribution Function with Application to the One-Dimensional Hubbard Model
- 15 January 1991
- journal article
- letter
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 60 (1) , 25-28
- https://doi.org/10.1143/jpsj.60.25
Abstract
Based on the Pauli-Feynman theorem for the ground-state energy, a new self-consistency relation is established between the correlation energy and the momentum distribution function in a many-body system. Similar relations concerning the correlation functions are also derived. Those general relations are applied to the one-dimensional Hubbard model and are found quite useful.Keywords
This publication has 15 references indexed in Scilit:
- Correlation exponents and the metal-insulator transition in the one-dimensional Hubbard modelPhysical Review Letters, 1990
- Asymptotic spin-spin correlations of theU→∞ one-dimensional Hubbard modelPhysical Review Letters, 1990
- ‘‘Luttinger-liquid’’ behavior of the normal metallic state of the 2D Hubbard modelPhysical Review Letters, 1990
- Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard modelPhysical Review B, 1990
- Numerical Studies on the Hubbard Model and thet-JModel in One- and Two-DimensionsJournal of the Physics Society Japan, 1989
- Variational Monte-Carlo Studies of Hubbard Model. IJournal of the Physics Society Japan, 1987
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One DimensionPhysical Review Letters, 1968
- An Exactly Soluble Model of a Many-Fermion SystemJournal of Mathematical Physics, 1963
- Effect of Correlation on the Ferromagnetism of Transition MetalsPhysical Review Letters, 1963
- Forces in MoleculesPhysical Review B, 1939