Phase diagram of three-leg ladders at strong coupling along the rungs

Details Phase diagram of three-leg ladders at strong coupling along the rungs Phase diagram of three-leg ladders at strong coupling along the rungs

1999-03-24

arxiv.org/abs/cond-mat/9903363v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 15 figures

Scientific paper

10.1016/S0921-4534(99)00058-1

A phase diagram of the t-J three-leg ladder as a function of hole dopping is derived in the limit where the coupling parameters along the rungs, $t_{\perp}$ and $J_{\perp}$, are taken to be much larger than those along the legs, $t_{||}$ and $J_{||}$ At large exchange coupling along the rungs, $J_{\perp}/t_{\perp}> 3 / \sqrt{2}$, there is a transition from a low-dopping Luttinger liquid phase into a Luther-Emery liquid at a critical hole concentration $n_{crit}\approx 1/3$. In the opposite case, $J_{\perp}/t_{\perp}< 3 / \sqrt{2}$, there as a sequence of three Luttinger liquid phases (LLI, LLII and LLIII) as a function of hole dopping.

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