Ground-state phase diagram of the one-dimensional $t$-$J_s$-$J_{\tau }$ model at quarter filling

Abstract

We study the ground state of the one-dimensional "$t$-$J_s$-$J_{\tau }$ model," which is a variant of the $t$-$J$ model with additional channel degree of freedom. The model is not only a generalization of the $t$-$J$ model but also an effective model of the two-channel Kondo lattice model in the strong-coupling region. The low-energy excitations and correlation functions are systematically calculated by the density matrix renormalization group method, and the ground-state phase diagram at quarter filling consisting of a Tomonaga-Luttinger liquid, spin-gap state, channel-gap state, insulator, and phase separation is determined. We find that weak channel fluctuations stabilize the spin-gap state, while strong channel fluctuations lead to the transition to the insulator.

arXiv comment5 pages, 8 figures

References in corpus (8)

• One-Dimensional Fermi liquids
• Phase diagram of the one-dimensional extended Hubbard model at quarter filling
• Spherical Deformation for One-dimensional Quantum Systems
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• Ground-State Phase Diagram of the 1D t-J model
• "Grand Canonical" Finite Size Numerical Approaches : a Route to Measuring Bulk Properties under Applied Field
• Spin Gap and Superconductivity in the One-Dimensional t-J Model with Coulomb Repulsion
• Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling