SPIN AND CHARGE MODES OF THE t-J LADDER

Details SPIN AND CHARGE MODES OF THE t-J LADDER SPIN AND CHARGE MODES OF THE t-J LADDER

1995-01-20

arxiv.org/abs/cond-mat/9501093v1

Physics

Condensed Matter

4 pages, 11 figs. included in a uuencoded compressed file.

Scientific paper

10.1103/PhysRevB.52.6796

The spin and charge excitations of the t--J ladder are studied by exact diagonalization techniques for several electron densities. The various modes are classified according to their spin (singlet or triplet excitations) and their parity under a reflection with respect to the symmetry axis along the chains and a finite size scaling of the related gaps is performed. At low doping, formation of hole pairs leads to a spin gap for all $J/t$ ratios. This phase is characterized by (at least) one vanishing energy mode {\it only} in the charge bonding channel when $K_x\rightarrow 0$ consistent with the existence of superconducting pairing correlations. At larger doping the spin gap disappears. Although the anti-bonding modes remain gapped, low energy $K_x\sim 0$ and $K_x\sim 2k_F$ spin and charge bonding modes are found consistent with a single band Luttinger scenario. At sufficient low electron density and above a critical value of J/t we also expect another phase of electron pairs with gapped spin excitations.

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