{"title":"复杂费米面上混乱电子轨迹的$τ$--近似的特异性","authors":"A. Ya. Maltsev","doi":"arxiv-2403.18457","DOIUrl":null,"url":null,"abstract":"The work examines a special behavior of the magnetic conductivity of metals\nthat arises when chaotic electron trajectories appear on the Fermi surface.\nThis behavior is due to the scattering of electrons at singular points of the\ndynamic system describing the dynamics of electrons in $\\, {\\bf p}$-space, and\ncaused by small-angle scattering of electrons on phonons. In this situation,\nthe electronic system is described by a \"non-standard\" relaxation time, which\nplays the main role in a certain range of temperature and magnetic field\nvalues.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Specificity of $τ$ -- approximation for chaotic electron trajectories on complex Fermi surfaces\",\"authors\":\"A. Ya. Maltsev\",\"doi\":\"arxiv-2403.18457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The work examines a special behavior of the magnetic conductivity of metals\\nthat arises when chaotic electron trajectories appear on the Fermi surface.\\nThis behavior is due to the scattering of electrons at singular points of the\\ndynamic system describing the dynamics of electrons in $\\\\, {\\\\bf p}$-space, and\\ncaused by small-angle scattering of electrons on phonons. In this situation,\\nthe electronic system is described by a \\\"non-standard\\\" relaxation time, which\\nplays the main role in a certain range of temperature and magnetic field\\nvalues.\",\"PeriodicalId\":501275,\"journal\":{\"name\":\"arXiv - PHYS - Mathematical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2403.18457\",\"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 - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2403.18457","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Specificity of $τ$ -- approximation for chaotic electron trajectories on complex Fermi surfaces
The work examines a special behavior of the magnetic conductivity of metals
that arises when chaotic electron trajectories appear on the Fermi surface.
This behavior is due to the scattering of electrons at singular points of the
dynamic system describing the dynamics of electrons in $\, {\bf p}$-space, and
caused by small-angle scattering of electrons on phonons. In this situation,
the electronic system is described by a "non-standard" relaxation time, which
plays the main role in a certain range of temperature and magnetic field
values.