English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Simple analytical parametrizations for the ground-state energy of theone-dimensional repulsive Hubbard model are developed. The charge-dependence ofthe energy is parametrized using exact results extracted from the Bethe-Ansatz.The resulting parametrization is shown to be in better agreement with highlyprecise data obtained from fully numerical solution of the Bethe-Ansatzequations than previous expressions [Lima et al., Phys. Rev. Lett. 90, 146402(2003)]. Unlike these earlier proposals, the present parametrization correctlypredicts a positive Mott gap at half filling for any U>0. The construction isextended to spin-dependent phenomena by parametrizing themagnetization-dependence of the ground-state energy using further exact resultsand numerical benchmarking. Lastly, the parametrizations developed for thespatially uniform model are extended by means of a simple local-density-typeapproximation to spatially inhomogeneous models, e.g., in the presence ofimpurities, external fields or trapping potentials. Results are shown to be inexcellent agreement with independent many-body calculations, at a fraction ofthe computational cost.

new journal of physics

Simple parametrization for the ground-state energy of the infinite  Hubbard chain incorporating Mott physics, spin-dependent phenomena and  spatial inhomogeneity