{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T05:17:59Z","timestamp":1773897479721,"version":"3.50.1"},"reference-count":72,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T00:00:00Z","timestamp":1730160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100010579","name":"Deutsch-Franz\u00f6sische Hochschule (DFH-UFA) through the Doctoral College","doi-asserted-by":"publisher","award":["CDFA-02-07"],"award-info":[{"award-number":["CDFA-02-07"]}],"id":[{"id":"10.13039\/501100010579","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Leipzig Graduate School of Natural Sciences \u201cBuildMoNa\u201d","award":["CDFA-02-07"],"award-info":[{"award-number":["CDFA-02-07"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We study the zeros of the partition function in the complex temperature plane (Fisher zeros) and in the complex external field plane (Lee\u2013Yang zeros) of a frustrated Ising model with competing nearest-neighbor (J1&gt;0) and next-nearest-neighbor (J2&lt;0) interactions on the honeycomb lattice. We consider the finite-size scaling (FSS) of the leading Fisher and Lee\u2013Yang zeros as determined from a cumulant method and compare it to a traditional scaling analysis based on the logarithmic derivative of the magnetization \u2202ln\u27e8|M|\u27e9\/\u2202\u03b2 and the magnetic susceptibility \u03c7. While for this model both FSS approaches are subject to strong corrections to scaling induced by the frustration, their behavior is rather different, in particular as the ratio R=J2\/J1 is varied. As a consequence, an analysis of the scaling of partition function zeros turns out to be a useful complement to a more traditional FSS analysis. For the cumulant method, we also study the convergence as a function of cumulant order, providing suggestions for practical implementations. The scaling of the zeros convincingly shows that the system remains in the Ising universality class for R as low as \u22120.22, where results from traditional FSS using the same simulation data are less conclusive. Hence, the approach provides a valuable additional tool for mapping out the phase diagram of models afflicted by strong corrections to scaling.<\/jats:p>","DOI":"10.3390\/e26110919","type":"journal-article","created":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T10:45:35Z","timestamp":1730198735000},"page":"919","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Partition Function Zeros of the Frustrated J1\u2013J2 Ising Model on the Honeycomb Lattice"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9083-3521","authenticated-orcid":false,"given":"Denis","family":"Gessert","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Leipzig University, IPF 231101, 04081 Leipzig, Germany"},{"name":"Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0914-1147","authenticated-orcid":false,"given":"Martin","family":"Weigel","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Physik, Technische Universit\u00e4t Chemnitz, 09107 Chemnitz, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5165-9097","authenticated-orcid":false,"given":"Wolfhard","family":"Janke","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Leipzig University, IPF 231101, 04081 Leipzig, Germany"}]}],"member":"1968","published-online":{"date-parts":[[2024,10,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Diep, H.T. 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