{"title":"Finite-temperature crossover in resistively shunted Josephson junctions via crossing approximations","authors":"Ha-Nul Seok, Aaram J. Kim","doi":"10.1007/s40042-025-01358-x","DOIUrl":null,"url":null,"abstract":"<div><p>We study the finite temperature behavior of the minimal model of the resistively shunted Josephson junction (RSJJ) using the crossing expansions, particularly the one-crossing approximation (OCA). For a simple benchmark model of the RSJJ, the OCA shows a good agreement with the (numerically) exact method up to deep strong coupling regime. The spin-spin correlation function obtained by the OCA reveals the finite-temperature crossover between the superconductor and the insulator for finite system-bath coupling and local anharmonicity. And the observed insulating regime clearly expands in the parameter space as the temperature is raised. The estimated crossover boundary is qualitatively consistent with the previously reported ground-state phase diagram (K. Masuki et. al, Phys. Rev. Lett. <b>129</b>, 087001 (2022)), but the quantitative values are sizably different. We discuss the possible origin of the deviations.</p></div>","PeriodicalId":677,"journal":{"name":"Journal of the Korean Physical Society","volume":"86 10","pages":"981 - 988"},"PeriodicalIF":0.8000,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Physical Society","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s40042-025-01358-x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We study the finite temperature behavior of the minimal model of the resistively shunted Josephson junction (RSJJ) using the crossing expansions, particularly the one-crossing approximation (OCA). For a simple benchmark model of the RSJJ, the OCA shows a good agreement with the (numerically) exact method up to deep strong coupling regime. The spin-spin correlation function obtained by the OCA reveals the finite-temperature crossover between the superconductor and the insulator for finite system-bath coupling and local anharmonicity. And the observed insulating regime clearly expands in the parameter space as the temperature is raised. The estimated crossover boundary is qualitatively consistent with the previously reported ground-state phase diagram (K. Masuki et. al, Phys. Rev. Lett. 129, 087001 (2022)), but the quantitative values are sizably different. We discuss the possible origin of the deviations.
期刊介绍：
The Journal of the Korean Physical Society (JKPS) covers all fields of physics spanning from statistical physics and condensed matter physics to particle physics. The manuscript to be published in JKPS is required to hold the originality, significance, and recent completeness. The journal is composed of Full paper, Letters, and Brief sections. In addition, featured articles with outstanding results are selected by the Editorial board and introduced in the online version. For emphasis on aspect of international journal, several world-distinguished researchers join the Editorial board. High quality of papers may be express-published when it is recommended or requested.
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