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arXiv 1602.05070cond-mat.mes-hall
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费米黄金法则散射率对金属纳米线的有效性判据

Validity criteria for Fermi's golden rule scattering rates applied to metallic nanowires

Kristof Moors, Bart Sorée, Wim Magnus

摘要:

费米的黄金法则支持移动载流子在各种固体中传播的研究,是计算其散射率的标准工具。因此,它提供了一个微扰估计下的隐式假设,即相互作用的哈密顿量,导致散射事件的影响是足够小的。为了检查这一假设的有效性,我们提出了一个通用的框架,以获得简单的有效性标准,以评估是否可以信任的散射率的系统正在考虑中,其统计特性,如平均尺寸,电子密度,杂质密度等。我们推导出具体的有效性标准金属纳米线与传导电子填充一个单一的抛物带进行不同的弹性散射机制:杂质,晶界和表面粗糙度。

英文摘要:

Fermi's golden rule underpins the investigation of mobile carriers propagating through various solids, being a standard tool to calculate their scattering rates. As such, it provides a perturbative estimate under the implicit assumption that the effect of the interaction Hamiltonian which causes the scattering events is sufficiently small. To check the validity of this assumption, we present a general framework to derive simple validity criteria in order to assess whether the scattering rates can be trusted for the system under consideration, given its statistical properties such as average size, electron density, impurity density et cetera. We derive concrete validity criteria for metallic nanowires with conduction electrons populating a single parabolic band subjected to different elastic scattering mechanisms: impurities, grain boundaries and surface roughness.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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