论文标题
线性电阻率和sachdev-ye-kitaev(SYK)旋转液体行为,量子临界金属,旋转$ 1/2 $费米子
Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
论文作者
论文摘要
根据温度$ t $降低到低点$ t $的“奇怪的金属”,其电阻率是凝结物理物理学的长期困难。在这里,我们考虑了通过现场哈伯德相互作用和随机的无限型自旋旋转相互作用进行交互的巡回旋转模型。我们表明,通过电荷波动与旋转玻璃相融化相关的量子临界点显示非FERMI液体行为,局部自旋动力学与Sachdev-Ye-Kitaev模型家族的局部旋转动力学相同。这将先前以$ su(m)$对称型号的量子旋转液体动力学扩展到具有物理$ su(2)$ spin-spin- $ 1/2 $电子的型号。值得注意的是,量子临界方案还具有planckian线性-$ t $电阻率,与$ t $ - 线性散射速率以及与边际费米液体现象学一致的电子自我能源的频率依赖性。
`Strange metals' with resistivity depending linearly on temperature $T$ down to low-$T$ have been a long-standing puzzle in condensed matter physics. Here, we consider a model of itinerant spin-$1/2$ fermions interacting via on-site Hubbard interaction and random infinite-ranged spin-spin interaction. We show that the quantum critical point associated with the melting of the spin-glass phase by charge fluctuations displays non-Fermi liquid behaviour, with local spin dynamics identical to that of the Sachdev-Ye-Kitaev family of models. This extends the quantum spin liquid dynamics previously established in the large-$M$ limit of $SU(M)$ symmetric models, to models with physical $SU(2)$ spin-$1/2$ electrons. Remarkably, the quantum critical regime also features a Planckian linear-$T$ resistivity associated with a $T$-linear scattering rate and a frequency dependence of the electronic self-energy consistent with the Marginal Fermi Liquid phenomenology.