{"title":"A study of the electron-phonon interaction in the de Haas-van Alphen effect","authors":"M. Khalid, P. Reinders, M. Springford","doi":"10.1088/0305-4608/18/9/015","DOIUrl":null,"url":null,"abstract":"The many-body theory of the de Haas-van Alphen effect of Engelsberg and Simpson (1970) predicts departures from the semiclassical approach of Lifshitz and Kosevich (1956) arising from the influence of the electron-phonon interaction. The magnitude of these departures is calculated for mercury, indium and lead. Accurate measurements of DHVA amplitudes are made for mercury at temperatures between 1.3 and 4.2 K in magnetic fields up to 8 T. Anomalies in the earlier work of Elliot et al. (1978) are re-examined and clarified. The many-body theory is found to be in good quantitative agreement with experiment.","PeriodicalId":16828,"journal":{"name":"Journal of Physics F: Metal Physics","volume":"70 1","pages":"1949-1964"},"PeriodicalIF":0.0000,"publicationDate":"1988-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics F: Metal Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4608/18/9/015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
The many-body theory of the de Haas-van Alphen effect of Engelsberg and Simpson (1970) predicts departures from the semiclassical approach of Lifshitz and Kosevich (1956) arising from the influence of the electron-phonon interaction. The magnitude of these departures is calculated for mercury, indium and lead. Accurate measurements of DHVA amplitudes are made for mercury at temperatures between 1.3 and 4.2 K in magnetic fields up to 8 T. Anomalies in the earlier work of Elliot et al. (1978) are re-examined and clarified. The many-body theory is found to be in good quantitative agreement with experiment.