Formation of clusters in the ground state of the $t-J$ model on a two leg ladder

Details Formation of clusters in the ground state of the $t-J$ model on a two leg ladder Formation of clusters in the ground state of the $t-J$ model on a two leg ladder

2004-10-27

arxiv.org/abs/cond-mat/0410709v1

J. Phys.: Condens. Matter 16, 8571 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 9 figures, RevTex4

Scientific paper

10.1088/0953-8984/16/47/010

We investigate the ground state properties of the $t-J$ model on a two leg ladder with anisotropic couplings ($t,\alpha=J/t$) along rungs and ($t',\alpha'=J'/t'$) along legs. We have implemented a cluster approach based on 4-site plaqettes. In the strong asymmetric cases $\alpha/\alpha'\ll 1$ and $\alpha'/\alpha\ll 1$ the ground state energy is well described by plaquette clusters with charges $Q=2,4$. The interaction between the clusters favours the condensation of plaquettes with maximal charge -- a signal for phase separation. The dominance of Q=2 plaquettes explains the emergence of tightly bound hole pairs. We have presented the numerical results of exact diagonalization to support our cluster approach.

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