论文标题
低温$ t $ - 线性电阻率是由于关键模式的umklapp散射
Low temperature $T$-linear resistivity due to umklapp scattering from a critical mode
论文作者
论文摘要
我们考虑了通过关键骨气模式散布的费米模型的传输特性。该模式过度阻尼，并且散射主要沿向前方向。这种模式出现在电子列相变的量子临界点，以及在u（1）旋转液体的量规理论中。它导致了短暂的费米恩终身，违反了兰道（Landau）的费米液体标准。尽管如此，可以通过Boltzmann方程来描述运输。我们包括通过umklapp散射来放松动量，并补充有弱杂质散射。我们发现，高于非常低的温度，该温度以$Δ_Q^3 $缩放，其中$Δ_Q$是最小的umklapp散射向量，电阻率在$ t $中是线性的，其系数与疾病量无关。我们将松弛时间近似与玻尔兹曼方程的精确数值解决方案进行比较。令人惊讶的是，我们发现与电阻率不同，霍尔系数与放松时间近似强烈偏离，并且随着温度的升高显示出强大的降低。我们会评论与高$ T_C $ cuprates的实验可能进行的比较。
We consider the transport properties of a model of fermions scattered by a critical bosonic mode. The mode is overdamped and scattering is mainly in the forward direction. Such a mode appears at the quantum critical point for a electronic nematic phase transition, and in gauge theories for a U(1) spin liquid. It leads to a short fermion life-time, violating Landau's criterion for a Fermi liquid. In spite of this, transport can be described by a Boltzmann equation. We include momentum relaxation by umklapp scattering, supplemented by weak impurity scattering. We find that above a very low temperature which scales with $Δ_q^3$, where $Δ_q$ is the minimum umklapp scattering vector, the resistivity is linear in $T$ with a coefficient which is independent of the amount of disorder. We compare the relaxation time approximation with an exact numerical solution of the Boltzmann equation. Surprisingly we find that unlike the resistivity, the Hall Coefficient strongly deviates from the relaxation time approximation and shows a strong reduction with increasing temperature. We comment on possible comparisons with experiments on high $T_c$ Cuprates.
