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arXiv 2202.13671cond-mat.str-elcond-mat.mes-hall
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来自快速粒子-空穴散射的坏金属行为的最小一维模型

Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering

Yan-Qi Wang, Roman Rausch, Christoph Karrasch, Joel E. Moore

AI总结:

本文提出一个一维模型来捕捉二维Dirac流体的关键特征,证明类Dirac色散中的无关相互作用可通过粒子-空穴散射保持准粒子特征并产生线性温变电阻率,并用DMRG数值模拟加以验证。

摘要:

在二维空间(2D)中,由线性色散的电子和空穴激发组成的强相互作用等离子体,也被称为Dirac流体,可以用相对论流体力学来描述,并与其他量子临界系统共享许多普适特征。我们提出了一个一维(1D)模型,以捕捉二维Dirac流体的关键方面,同时纳入晶格效应并适用于非微扰计算。当相互作用被添加到类Dirac的一维色散中而不打开能隙时,我们证明这种无关相互作用能够在通过粒子-空穴激发之间的碰撞弛豫零动量电荷流的同时,保持类Fermi液体的准粒子特征,从而通过先前针对大直径金属碳纳米管讨论过的机制,产生随温度线性变化的电阻率。我们进一步提供了一个微观晶格模型,并通过密度矩阵重整化群(DMRG)模拟获得了数值结果,这些结果支持上述物理图像。由于坏金属在实验中普遍存在,强耦合下这种快速弛豫的限制具有相当大的研究意义。

英文摘要:

A strongly interacting plasma of linearly dispersing electron and hole excitations in two spatial dimensions (2D), also known as a Dirac fluid, can be captured by relativistic hydrodynamics and shares many universal features with other quantum critical systems. We propose a one-dimensional (1D) model to capture key aspects of the 2D Dirac fluid while including lattice effects and being amenable to non-perturbative computation. When interactions are added to the Dirac-like 1D dispersion without opening a gap, we show that this kind of irrelevant interaction is able to preserve Fermi-liquid-like quasi-particle features while relaxing a zero-momentum charge current via collisions between particle-hole excitations, leading to resistivity that is linear in temperature via a mechanism previously discussed for large-diameter metallic carbon nanotubes. We further provide a microscopic lattice model and obtain numerical results via density-matrix renormalization group (DMRG) simulations, which support the above physical picture. The limits on such fast relaxation at strong coupling are of considerable interest because of the ubiquity of bad metals in experiments.

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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