2000/06/30 by Thomas Siller, Th. Siller, M. Troyer +4 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.1103/physrevb.63.195106
published as Phys. Rev. B 63, 195106 (2001) · 11 pages
arxiv created 2001/02/19 · openalex publication_date 2001/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We numerically investigate a bosonic representation for hole pairs on a two-leg t\ensuremath-J ladder where hard core bosons on a chain represent the hole pairs on the ladder. The interaction between hole pairs is obtained by fitting the density profile obtained with the effective model to the one obtained with the t\ensuremath-J model, taking into account the inner structure of the hole pair given by the hole-hole correlation function. For these interactions we calculate the Luttinger liquid parameter, which takes the universal value K_\ensuremathρ=1 as half filling is approached, for values of the rung exchange J^\ensuremath' between strong coupling and the isotropic case. The long distance behavior of the hole-hole correlation function is also investigated. Starting from large J^\ensuremath', the correlation length first increases as expected but diminishes significantly as J^\ensuremath' is reduced and bound holes sit mainly on adjacent rungs. As the isotropic case is approached, the correlation length increases again. This effect is related to the different kind of bonds in the region between the two holes of a hole pair when they move apart.