{"title":"具有排斥和单点杂质的Luttinger液体的精确解","authors":"V. V. Afonin, V. Yu. Petrov","doi":"10.1134/S1063776123090017","DOIUrl":null,"url":null,"abstract":"<p>The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.</p>","PeriodicalId":629,"journal":{"name":"Journal of Experimental and Theoretical Physics","volume":"137 3","pages":"384 - 394"},"PeriodicalIF":1.0000,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Exact Solution for a Luttinger Liquid with Repulsion and a Single Point Impurity\",\"authors\":\"V. V. Afonin, V. Yu. Petrov\",\"doi\":\"10.1134/S1063776123090017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.</p>\",\"PeriodicalId\":629,\"journal\":{\"name\":\"Journal of Experimental and Theoretical Physics\",\"volume\":\"137 3\",\"pages\":\"384 - 394\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-10-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Experimental and Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063776123090017\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Experimental and Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063776123090017","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}
On the Exact Solution for a Luttinger Liquid with Repulsion and a Single Point Impurity
The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.
期刊介绍：
Journal of Experimental and Theoretical Physics is one of the most influential physics research journals. Originally based on Russia, this international journal now welcomes manuscripts from all countries in the English or Russian language. It publishes original papers on fundamental theoretical and experimental research in all fields of physics: from solids and liquids to elementary particles and astrophysics.
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