{"title":"阿哈诺夫-玻姆效应在电子束沿半导体纳米管运动的流体力学不稳定性中的体现","authors":"Y. Averkov, Yu. V. Prokopenko, V. Yampol’skii","doi":"10.1063/10.0025623","DOIUrl":null,"url":null,"abstract":"We theoretically study a manifestation of the Aharonov–Bohm effect in hydrodynamic instability of a tubular nonrelativistic electron beam moving along a semiconductor nanotube with dielectric filling placed in a coaxial dc magnetic field. The calculations are performed with taking into account the retardation effect for electromagnetic fields. The dispersion equation for the coupled waves of the structure under study and the electron beam, as well as the expression for the increment of the hydrodynamic instability have been derived and numerically analyzed. The mechanism of nonlinear stabilization of the hybrid bulk-surface and surface electromagnetic waves is studied by the method of slowly varying in time amplitudes and phases. The physical cause of excitation of such waves is the Cherenkov resonance, and the nonlinear stabilization mechanism is based on the trapping of beam particles by the field of the excited wave. The numerical analysis shows that the time of saturation of the instability and the maximum field amplitudes depend on the number of magnetic flux quanta in the nanotube and changes with the period equal to one magnetic flux quantum. These dependences are the result of the Aharonov–Bohm effect.","PeriodicalId":18077,"journal":{"name":"Low Temperature Physics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Manifestation of the Aharonov–Bohm effect in hydrodynamic instability of an electron beam moving along a semiconductor nanotube\",\"authors\":\"Y. Averkov, Yu. V. Prokopenko, V. Yampol’skii\",\"doi\":\"10.1063/10.0025623\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We theoretically study a manifestation of the Aharonov–Bohm effect in hydrodynamic instability of a tubular nonrelativistic electron beam moving along a semiconductor nanotube with dielectric filling placed in a coaxial dc magnetic field. The calculations are performed with taking into account the retardation effect for electromagnetic fields. The dispersion equation for the coupled waves of the structure under study and the electron beam, as well as the expression for the increment of the hydrodynamic instability have been derived and numerically analyzed. The mechanism of nonlinear stabilization of the hybrid bulk-surface and surface electromagnetic waves is studied by the method of slowly varying in time amplitudes and phases. The physical cause of excitation of such waves is the Cherenkov resonance, and the nonlinear stabilization mechanism is based on the trapping of beam particles by the field of the excited wave. The numerical analysis shows that the time of saturation of the instability and the maximum field amplitudes depend on the number of magnetic flux quanta in the nanotube and changes with the period equal to one magnetic flux quantum. These dependences are the result of the Aharonov–Bohm effect.\",\"PeriodicalId\":18077,\"journal\":{\"name\":\"Low Temperature Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Low Temperature Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1063/10.0025623\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Low Temperature Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1063/10.0025623","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
Manifestation of the Aharonov–Bohm effect in hydrodynamic instability of an electron beam moving along a semiconductor nanotube
We theoretically study a manifestation of the Aharonov–Bohm effect in hydrodynamic instability of a tubular nonrelativistic electron beam moving along a semiconductor nanotube with dielectric filling placed in a coaxial dc magnetic field. The calculations are performed with taking into account the retardation effect for electromagnetic fields. The dispersion equation for the coupled waves of the structure under study and the electron beam, as well as the expression for the increment of the hydrodynamic instability have been derived and numerically analyzed. The mechanism of nonlinear stabilization of the hybrid bulk-surface and surface electromagnetic waves is studied by the method of slowly varying in time amplitudes and phases. The physical cause of excitation of such waves is the Cherenkov resonance, and the nonlinear stabilization mechanism is based on the trapping of beam particles by the field of the excited wave. The numerical analysis shows that the time of saturation of the instability and the maximum field amplitudes depend on the number of magnetic flux quanta in the nanotube and changes with the period equal to one magnetic flux quantum. These dependences are the result of the Aharonov–Bohm effect.
期刊介绍:
Guided by an international editorial board, Low Temperature Physics (LTP) communicates the results of important experimental and theoretical studies conducted at low temperatures. LTP offers key work in such areas as superconductivity, magnetism, lattice dynamics, quantum liquids and crystals, cryocrystals, low-dimensional and disordered systems, electronic properties of normal metals and alloys, and critical phenomena. The journal publishes original articles on new experimental and theoretical results as well as review articles, brief communications, memoirs, and biographies.
Low Temperature Physics, a translation of the copyrighted Journal FIZIKA NIZKIKH TEMPERATUR, is a monthly journal containing English reports of current research in the field of the low temperature physics. The translation began with the 1975 issues. One volume is published annually beginning with the January issues.