Variational Study of the Spin-Gap Phase of the One-Dimensional t-J Model

Abstract

We propose a correlated spin-singlet-pairs wave function to describe the spin-gap phase of the one-dimensional $t-J$ model at low density. Adding a Jastrow factor with a variational parameter, $\nu$, first introduced by Hellberg and Mele, is shown to correctly describe the long-range behavior expected for the Luther-Emery phase. Using the variational Monte Carlo method we establish a relation between $\nu$ and the Luttinger exponent $K_{\rho }$, $K_{\rho }=\frac{1}{2\nu }$.

4 pages (LaTex), 3 figures attached

References in corpus (3)

• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Evidence for Spin-Charge Separation in the Two-Dimensional T-J Model
• Luttinger Liquid Instability in the One Dimensional t-J Model

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• From Luttinger liquid to Mott insulator: the correct low-energy description of the one-dimensional Hubbard model by an unbiased variational approach
• Variational state based on the Bethe ansatz solution and a correlated singlet liquid state in the one-dimensional t-J model
• Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model