{"title":"电子流体中的非局部传导性、续流分数和电流漩涡","authors":"Khachatur G. Nazaryan, Leonid Levitov","doi":"10.1103/physrevb.110.045147","DOIUrl":null,"url":null,"abstract":"Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ wave-number-dependent conductivity <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>σ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></math>, which incorporates rates of realistic microscopic scattering processes and is built as a continued fraction from decay rates for different excitations. This approach is used to clarify the relationship between nonlocal response and vortices across ballistic and hydrodynamic phases. Vorticity exhibits similar values in both phases but shows markedly different sensitivity to momentum-relaxing scattering, with ballistic vortical flows being orders-of-magnitude more resilient than the hydrodynamic ones. This behavior can serve as a diagnostic of the microscopic origin of vorticity in electron fluids.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlocal conductivity, continued fractions, and current vortices in electron fluids\",\"authors\":\"Khachatur G. Nazaryan, Leonid Levitov\",\"doi\":\"10.1103/physrevb.110.045147\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ wave-number-dependent conductivity <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>σ</mi><mo>(</mo><mi>k</mi><mo>)</mo></mrow></math>, which incorporates rates of realistic microscopic scattering processes and is built as a continued fraction from decay rates for different excitations. This approach is used to clarify the relationship between nonlocal response and vortices across ballistic and hydrodynamic phases. Vorticity exhibits similar values in both phases but shows markedly different sensitivity to momentum-relaxing scattering, with ballistic vortical flows being orders-of-magnitude more resilient than the hydrodynamic ones. This behavior can serve as a diagnostic of the microscopic origin of vorticity in electron fluids.\",\"PeriodicalId\":20082,\"journal\":{\"name\":\"Physical Review B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevb.110.045147\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.110.045147","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Nonlocal conductivity, continued fractions, and current vortices in electron fluids
Vortices in electron fluids are a key indicator of electron hydrodynamics. However, a comprehensive framework linking macroscopic vorticity measurements with microscopic interactions and scattering mechanisms has been lacking. We employ wave-number-dependent conductivity , which incorporates rates of realistic microscopic scattering processes and is built as a continued fraction from decay rates for different excitations. This approach is used to clarify the relationship between nonlocal response and vortices across ballistic and hydrodynamic phases. Vorticity exhibits similar values in both phases but shows markedly different sensitivity to momentum-relaxing scattering, with ballistic vortical flows being orders-of-magnitude more resilient than the hydrodynamic ones. This behavior can serve as a diagnostic of the microscopic origin of vorticity in electron fluids.
期刊介绍:
Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide.
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