Phase separation as an instability of the Tomonaga-Luttinger liquid

Abstract

Asymptotic behavior of the Tomonaga-Luttinger liquid in the vicinity of the phase-separated region is investigated in the one-dimensional $t$-$J$ model, to study the universal property of the $c=1$ conformal field theory with U(1) symmetry near the $K\to \infty$ instability. On the analogy of the spinless fermion, we discuss that the compressibility behaves as $\kappa \propto (J_c-J{)}^{-1}$, and that the Drude weight is constant and changes to zero discontinuously at the phase boundary. This speculation is confirmed by analyzing the finite size effect from the result of the exact diagonalization.

7 pages(RevTeX), 7 figures(EPS), TITCMT-97-1, replaced on Aug 13, to appear Phys. Rev. B

Cited by in corpus (7)

• Interacting spinless fermions in a diamond chain
• Variational Bethe Ansatz approach for dipolar one-dimensional bosons
• Spin-Gap Phase in the One-Dimensional t-J-J' Model
• Instabilities in Luttinger liquids
• Classical dimer model with anisotropic interactions on the square lattice
• Droplet formation in a one-dimensional system of attractive spinless fermions
• Emergent Carroll symmetry at phase separation in one-dimensional lattice systems