Transport Properties of a One-Dimensional Two-Component Quantum Liquid with Hyperbolic Interactions

Details Transport Properties of a One-Dimensional Two-Component Quantum Liquid with Hyperbolic Interactions Transport Properties of a One-Dimensional Two-Component Quantum Liquid with Hyperbolic Interactions

1994-03-03

arxiv.org/abs/cond-mat/9403015v1

Physics

Condensed Matter

10 REVTeX pages + 4 uuencoded figures, UoU-0020294

Scientific paper

10.1103/PhysRevB.50.15389

We present an investigation of the sinh-cosh (SC) interaction model with twisted boundary conditions. We argue that, when unlike particles repel, the SC model may be usefully viewed as a Heisenberg-Ising fluid with moving Heisenberg-Ising spins. We derive the Luttinger liquid relation for the stiffness and the susceptibility, both from conformal arguments, and directly from the integral equations. Finally, we investigate the opening and closing of the ground state gaps for both SC and Heisenberg-Ising models, as the interaction strength is varied.

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