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/

Zendy Plus

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

Zendy Tools

Zendy Open

We implement a new and accurate numerical entropic scheme to investigate thefirst-order transition features of the triangular Ising model withnearest-neighbor ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$)antiferromagnetic interactions in ratio $R=J_{nn}/J_{nnn}=1$. Important aspectsof the existing theories of first-order transitions are briefly reviewed,tested on this model, and compared with previous work on the Potts model. Usinglattices with linear sizes $L=30,40,...,100,120,140,160,200,240,360$ and 480 weestimate the thermal characteristics of the present weak first-ordertransition. Our results improve the original estimates of Rastelli et al. andverify all the generally accepted predictions of the finite-size scaling theoryof first-order transitions, including transition point shifts, thermal, andmagnetic anomalies. However, two of our findings are not compatible withcurrent phenomenological expectations. The behavior of transition points,derived from the number-of-phases parameter, is not in accordance with thetheoretically conjectured exponentially small shift behavior and the well-knowndouble Gaussian approximation does not correctly describe higher correctionterms of the energy cumulants. It is argued that this discrepancy has itsorigin in the commonly neglected contributions from domain wall corrections.

First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions