Fractional Fermi liquid in a generalized $t-J$ model

Abstract

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.

arXiv comment7+4 pages; 7 figurer; 2nd version: change language and add figures; 3rd version: minor change for PRB

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