Luttinger Liquid Instability in the One Dimensional t-J Model

Abstract

We study the t-J model in one dimension by numerically projecting the true ground state from a Luttinger liquid trial wave function. We find the model exhibits Luttinger liquid behavior for most of the phase diagram in which interaction strength and density are varied. However at small densities and high interaction strengths a new phase with a gap to spin excitations and enhanced superconducting correlations is found. We show this phase is a Luther-Emery liquid and study its correlation functions.

REVTEX, 11 pages. 4 Figures available on request from [email protected]

Cited by in corpus (26)

• One-Dimensional Fermi liquids
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Phase separation at all interaction strengths in the t-J model
• Superconductivity Near Phase Separation in Models of Correlated Electrons
• Spin Gap in a Doped Kondo Chain
• Ground-State Phase Diagram of the 1D t-J model
• Singlet pairing in the double chain t-J model
• Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
• The mechanism of spin and charge separation in one dimensional quantum antiferromagnets
• Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model
• Green's Function Monte Carlo for Lattice Fermions: Application to the t-J Model
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• Effect of the Three-Site Hopping Term on the t-J Model
• Phase separation in t-J ladders
• Two-Dimensional t-J Model at Low Electron Density
• Spin-Gap Phases in Tomonaga-Luttinger Liquids
• The Phase Diagram of Correlated Electrons in a Lattice of Berry Molecules
• One-Dimensional t-J Model from a Variational Viewpoint
• Numerical renormalization group study of the 1D t-J model
• Phase separation and the existence of superconductivity in a one-dimensional copper-oxygen model
• Revisit Phase Separation of the Two-Dimensional $t-J$ model by the Power-Lanczos Method
• Variational Study of the Spin-Gap Phase of the One-Dimensional t-J Model
• Phase separation as an instability of the Tomonaga-Luttinger liquid
• Variational state based on the Bethe ansatz solution and a correlated singlet liquid state in the one-dimensional t-J model
• Effect of the hole doping into the Haldane-gap state on the one-dimensional $S=1$ $t$-$J$ model