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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate the impact of site dilution by setting the on-site repulsionstrength ($U$) to zero at a fraction of sites in the half-filled Hubbard modelon a simple cubic lattice. We employ a semi-classical Monte-Carlo approachfirst to recover the zero dilution (undiluted $x=1$) properties, including $U$dependence of insulator to metal crossover temperature scale $T^*$ andlong-range staggered antiferromagnetic ordering temperature ($T_N$). For thenon-perturbative regime of $U \sim$ bandwidth, we find a rapid suppression of$T^*$ with reducing $x$ from 1 to 0.7. However, $T_N$ remains unchanged in thisdilution range, showing a weakening of the insulating state but not of themagnetic order. At $x \leq 0.7$, $T^*$ and $T_N$ coincide and are suppressedtogether with further increase in site-dilution. Finally, the system loses themagnetic order and the insulating state for $x=0.15$, significantly below theclassical percolation threshold $x_p^{sc} (\sim 0.31$). We show that theinduced moments on $U=0$ sites drive the magnetic order below the classicalpercolation limit by studying local moment systematics and finite-size analysisof magnetic order. At the end, we show that either increasing $U$ to largevalues or raising temperature beyond a $U$ dependent critical value, suppressesthe induced local moments of the $U=0$ sites and recovers the classicalpercolation threshold.

Antiferromagnetism beyond classical percolation threshold in the site-diluted half-filled one-band Hubbard model in three dimensions