On the static approximation for the Hubbard Hamiltonian
- 15 April 1987
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 61 (8) , 3706-3708
- https://doi.org/10.1063/1.338668
Abstract
We study the validity of the static approximation for the Hubbard model. We compare results obtained within the static approximation on two-dimensional finite lattices with results obtained from exact diagonalization and Monte Carlo simulations. We find that the static approximation is quite accurate at high temperatures but breaks down at low temperatures. One reason for its failure is that the static approximation destroys the rotational invariance in spin space.This publication has 15 references indexed in Scilit:
- Two-dimensional Hubbard model: Numerical simulation studyPhysical Review B, 1985
- Monte Carlo Study of the Two-Dimensional Hubbard ModelPhysical Review Letters, 1983
- Discrete Hubbard-Stratonovich transformation for fermion lattice modelsPhysical Review B, 1983
- Functional-integral approach to the linear responses of the Hubbard model: Role of exchange-field fluctuationsPhysical Review B, 1983
- Monte Carlo calculations of coupled boson-fermion systems. IIPhysical Review B, 1981
- Random one-body approximation to the Hubbard model. I. FormalismPhysical Review B, 1978
- Theory of mott transition : Applications to transition metal oxidesJournal de Physique, 1972
- Correlation of Electrons in a NarrowBandPhysical Review B, 1965
- Electron correlations in narrow energy bandsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Calculation of Partition FunctionsPhysical Review Letters, 1959