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

Maxim Yu. Kagan·Stephan Haas·T. M. Rice
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Abstract

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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Maxim Yu. Kagan, Stephan Haas, T. M. Rice. 1999-03-24. Phase diagram of three-leg ladders at strong coupling along the rungs. https://doi.org/10.1016/s0921-4534(99)00058-1

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