该研究组提出并分析了在Holstein模型上的蒙特卡洛结果,该结果表明了一种不同类型的边界正在起作用:λ上与金属输运一致的“稳定性”边界。研究人员推测,在剩余相互作用的强度上有一个质的相似的边界,它通常比普朗克强度更强,可能更普遍地适用于金属。
据悉,扰动因素解释了传统金属的性质,包括输运散射率为1/τtr=2πλT,其中λ为电子-声子耦合的无量纲强度。测量值满足λ1的事实已经在可能的“普朗克”输运的背景下被注意到。然而,由于电子-声子散射在这种情况下是准弹性的,没有这样的普朗克考虑是相关的。
附:英文原文
Title: A stability bound on the T-linear resistivity of conventional metals
Author: Murthy, Chaitanya, Pandey, Akshat, Esterlis, Ilya, Kivelson, Steven A.
Issue&Volume: 2023-1-12
Abstract: Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is 1/τtr=2πλT, where λ is a dimensionless strength of the electron–phonon coupling. The fact that measured values satisfy λ1 has been noted in the context of a possible “Planckian” bound on transport. However, since the electron–phonon scattering is quasielastic in this regime, no such Planckian considerations can be relevant. We present and analyze Monte Carlo results on the Holstein model which show that a different sort of bound is at play: a “stability” bound on λ consistent with metallic transport. We conjecture that a qualitatively similar bound on the strength of residual interactions, which is often stronger than Planckian, may apply to metals more generally.
DOI: 10.1073/pnas.2216241120
Source: https://www.pnas.org/doi/10.1073/pnas.2216241120