论文标题
一般$ T-J $型号中的分数费米液体
Fractional Fermi liquid in a generalized $t-J$ model
论文作者
论文摘要
受到最近发现的镍nd $ _ {1-x} $ sr $ _x $ nio $ $ _2 $的超导性的启发，我们研究了一种广义的$ t-j $模型，以调查通过兴奋剂旋转旋转ni $^{2+} $ 1/2 $ 1/2 $ mott $ mott ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni ni $^$^$^$^。基于三弗里米亚的平均场分析，我们在几乎每个掺杂水平上都确定了强大的分数费米液体（FL*）相。 fl*状态的特征是旋转液体顶部的小费米口袋，违反了常规费米液体的luttinger定理，是对称假单胞质金属的一个例子。此外，我们通过密度矩阵重新归一化组（DMRG）模拟在广义$ t-j $模型和两轨哈伯德模型上验证我们的理论。分数费米液体以一个维度在一维中还原到分数Luttinger液体（LL*），通过调谐相互作用强度，通过连续的量子相变与常规的Luttinger液体连接。我们的发现为镍超导体中的相关电子现象和其他多轨过渡金属氧化金属氧化物提供了新的见解。
Inspired by the recent discovery of superconductivity in the nickelate Nd$_{1-x}$Sr$_x$NiO$_2$, we study a generalized $t-J$ model to investigate the correlated phases induced by doping spin-one Ni$^{2+}$ into a spin $1/2$ Mott insulator formed by Ni$^{1+}$. Based on a three-fermion parton mean field analysis, we identify a robust fractional Fermi liquid (FL*) phase for almost every doping level. The FL* state is characterized by a small Fermi pocket on top of a spin liquid, which violates the Luttinger theorem of a conventional Fermi liquid and is an example of a symmetric pseudogap metal. Furthermore, we verify our theory in one dimension through density matrix renormalization group (DMRG) simulations on both the generalized $t-J$ model and a two-orbital Hubbard model. The fractional Fermi liquid reduces to fractional Luttinger liquid (LL*) in one dimension, which is connected to the conventional Luttinger liquid through a continuous quantum phase transition by tuning interaction strength. Our findings offer new insights into correlated electron phenomena in nickelate superconductors and other multi-orbital transition metal oxide with spin-triplet $d^8$ state.
