Ground-state instabilities in a Hubbard-type chain with particular correlated hopping at non-half-filling

At non-half-filling, a one-dimensional interacting electronic model (t-U-R) is studied analytically. The particular correlated hopping keeps particle-hole symmetry of the Hubbard model. Physically, the model involved is equivalent to an extended Hubbard chain incorporating a two-body (X) and a three-body (X) site-bond interactions with X = 2X. The analysis of weak-coupling theory leads to the ground-state phase diagram, which consists of three types of metallic phases, characterized by the charge-(CDW) and spin-density-wave (SDW) and singlet-superconductivity (SS) instabilities.

Automated summary

An analytical study was conducted on a one-dimensional interacting electronic model (t-U-R) at non-half-filling. The model features a particular correlated hopping that maintains the particle-hole symmetry of the Hubbard model. Physically, the model is equivalent to an extended Hubbard chain incorporating two-body (X) and three-body (X) site-bond interactions, where X = 2X. Analyzing the weak-coupling theory leads to the ground-state phase diagram, which includes three types of metallic phases characterized by charge-density wave (CDW), spin-density wave (SDW), and singlet-superconductivity (SS) instabilities.