{"title":"Voltage-dependent scaling of the quantum resistance in 1D disordered systems","authors":"D. Lenstra, R.T.M. Smokers","doi":"10.1016/0378-4363(88)90304-X","DOIUrl":null,"url":null,"abstract":"<div><p>We have studied the voltage-dependent scaling of the resistance in a 1D disordered system by using a new Landauer-type resistance formula. The scaling behaviour at high voltage is significantly different from the scaling law due to Anderson et al. [Phys. Rev. B 22 (1980) 3519]. The finite voltage difference between both ends of the wire leads to much better statistical behaviour (in ensemble sense) of the resistance due to self-averaging over energy. Numerical results obtained for a simple model system illustrate the typical behaviour that is expected to be of conceptual importance for real systems.</p></div>","PeriodicalId":101023,"journal":{"name":"Physica B+C","volume":"151 3","pages":"Pages 503-508"},"PeriodicalIF":0.0000,"publicationDate":"1988-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4363(88)90304-X","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica B+C","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/037843638890304X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We have studied the voltage-dependent scaling of the resistance in a 1D disordered system by using a new Landauer-type resistance formula. The scaling behaviour at high voltage is significantly different from the scaling law due to Anderson et al. [Phys. Rev. B 22 (1980) 3519]. The finite voltage difference between both ends of the wire leads to much better statistical behaviour (in ensemble sense) of the resistance due to self-averaging over energy. Numerical results obtained for a simple model system illustrate the typical behaviour that is expected to be of conceptual importance for real systems.
利用新的兰道尔电阻公式，研究了一维无序系统中电阻随电压变化的标度。由于Anderson等人的研究，高压下的标度行为与标度定律有很大不同。Rev. B 22(1980)[3519]。由于对能量的自平均，导线两端之间的有限电压差导致电阻的更好的统计行为(在集合意义上)。对一个简单模型系统所得到的数值结果说明了对实际系统具有重要概念意义的典型行为。
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