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

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.

9 pages, 15 figures

References in corpus (3)

• Absence of spin gap in the superconducting ladder compound Sr_2Ca_{12}Cu_{24}O_{41}
• Ground State Properties of the Doped 3-Leg t-J Ladder
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates

Cited by in corpus (5)

• Electronic phase separation: recent progress in the old problem
• Single hole dynamics in the t-J model on two- and three-leg ladders
• Phase diagrams of polarized ultra-cold gases on attractive-U Hubbard ladders
• Charge density plateaux and insulating phases in the $t-J$ model with ladder geometry
• Formation of clusters in the two dimensional t-J model: The mechanism for phase separation