2002/01/22 by Thomas Siller, Matthias Troyer, T. M. Rice +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.65.205109
published as Phys. Rev. B 65, 205109 (2002)
arxiv created 2002/01/22 · openalex publication_date 2002/05/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Holes weakly doped into a four-leg t-J ladder bind in pairs. At dopings exceeding a critical doping of \ensuremathδc\ensuremath≃(1)/(8) four-hole clusters are observed to form in density-matrix renormalization-group calculations. The symmetry of the ground-state wave function 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, \ensuremathδ<\ensuremathδc, a one-dimensional bosonic representation for hole pairs works and allows us to calculate accurately the Luttinger liquid parameter K_\ensuremathρ that takes the universal value K_\ensuremathρ=1 as half-filling is approached.