{"title":"修正费米-哈伯德模型的热力学","authors":"Moorad Alexanian","doi":"arxiv-2409.11180","DOIUrl":null,"url":null,"abstract":"A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard\nmodel gives rise to a soluble model and here is used to calculate several\nthermodynamic observables. The constraint of unit density per site, density =\n1, is applied and some of the results are compared to cases where the\nconstraint is not imposed. The modified model exhibits a continuous phase\ntransition (second order) reminiscent of the integer quantum Hall resistance\nand a ground state, first-order phase transition.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermodynamics of a Modified Fermi-Hubbard Model\",\"authors\":\"Moorad Alexanian\",\"doi\":\"arxiv-2409.11180\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard\\nmodel gives rise to a soluble model and here is used to calculate several\\nthermodynamic observables. The constraint of unit density per site, density =\\n1, is applied and some of the results are compared to cases where the\\nconstraint is not imposed. The modified model exhibits a continuous phase\\ntransition (second order) reminiscent of the integer quantum Hall resistance\\nand a ground state, first-order phase transition.\",\"PeriodicalId\":501226,\"journal\":{\"name\":\"arXiv - PHYS - Quantum Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Quantum Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.11180\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11180","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard
model gives rise to a soluble model and here is used to calculate several
thermodynamic observables. The constraint of unit density per site, density =
1, is applied and some of the results are compared to cases where the
constraint is not imposed. The modified model exhibits a continuous phase
transition (second order) reminiscent of the integer quantum Hall resistance
and a ground state, first-order phase transition.
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