The transition between hole-pairs and four-hole clusters in four-leg tJ ladders

Abstract

Holes weakly doped into a four-leg \tj ladder bind in pairs. At dopings exceeding a critical doping of ${\delta }_c\simeq 1/8$ four hole clusters are observed to form in DMRG calculations. The symmetry of the ground state wavefunction does not change and we are able to reproduce this behavior qualitatively with an effective bosonic model in which the four-leg ladder is represented as two coupled two-leg ladders and hole-pairs are mapped on hard core bosons moving along and between these ladders. At lower dopings, $\delta <{\delta }_c$, a one dimensional bosonic representation for hole-pairs works and allows us to calculate accurately the Luttinger liquid parameter $\krho$, which takes the universal value $\krho=1$ as half-filling is approached.

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• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• On the Melting of Bosonic Stripes
• Bipairing and the Stripe Phase in 4-Leg Ladders
• Stripe Formation in Fermionic Atoms on 2-D Optical Lattice inside a Box Trap: DMRG Studies for Repulsive Hubbard Model with Open Boundary Condition
• Complex Phase Diagram of Doped XXZ Ladder: Localization and Pairing