“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 lattice model of itinerant spin-1/2 fermions interacting via onsite 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 behavior, 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.

电阻率与温度 T（低至低 T）呈线性关系的“奇怪金属”一直是凝聚态物理学中的一个长期难题。在这里，我们考虑巡回自旋的晶格模型1 / 2费米子通过现场哈伯德相互作用和随机无限范围自旋-自旋相互作用相互作用。我们表明，与电荷涨落导致的自旋玻璃相熔化相关的量子临界点表现出非费米液体行为，其局部自旋动力学与 Sachdev-Ye-Kitaev 系列模型的局部自旋动力学相同。这扩展了先前在大M极限中建立的量子自旋液体动力学S U （中号）对称模型到物理模型S U （ 2 ）旋转- 1 / 2电子。值得注意的是，量子临界状态还具有与 T 线性散射率相关的普朗克线性 T 电阻率以及与边缘费米液体现象学一致的电子自能的频率依赖性。