I. Ichinose et T. Matsui, QUASIEXCITATIONS AND SUPERCONDUCTIVITY IN THE T-J MODEL ON A LADDER, Physical review. B, Condensed matter, 57(21), 1998, pp. 13790-13799
We study the t-J model on a ladder using the slave-fermion-CP1 formali
sm that has been used successfully in studying lightly-doped high-T-c
cuprates. We obtain a low-energy effective model assuming a short-rang
e antiferromagnetic order (SRAFO), which includes gauge-field degrees
of freedom because of the use of the slave-particle picture. We give a
systematic study on the dynamics of composite gauge bosons to show th
at the confinement phase is realized in a two-leg system whereas the d
econfinement phase is realized in a chain system. This explains why qu
asiexcitations are so different in the chain and ladder systems. The e
ffective model also reveals attractive forces between holes, which gen
erate d-wave-type superconductive correlations in SRAFO. The low-energ
y excitations on a ladder are consistently described by the universali
ty class of the Lurher-Emery liquid.