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In contrast to widely used energy integration free expressions that are strictly limited to zero temperature, the present formulation remains valid at arbitrary temperatures.<\/jats:p>","DOI":"10.1088\/1361-648x\/aeb3e3","type":"journal-article","created":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T22:55:06Z","timestamp":1791932106000},"page":"435802","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["An energy integration free Kubo\u2013Bastin formula decomposition"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7434-0540","authenticated-orcid":true,"given":"O","family":"Ly","sequence":"first","affiliation":[{"name":"Avenue du Roi Fai\u00e7al"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,10,30]]},"reference":[{"key":"cmaeb3e3bib1","doi-asserted-by":"publisher","first-page":"1274","DOI":"10.1139\/p56-140","type":"journal-article","volume":"34","author":"Kubo","year":"1956","journal-title":"Can. 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