Superconductivity in the Two-Dimensional $t$-$J$ Model at Low Hole Doping

Physics – Condensed Matter

Scientific paper

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12 pages and 4 PostScript figures, ReVTeX 3.0, ETH-TH/94-15

Scientific paper

10.1209/0295-5075/27/9/007

By combining a generalized Lanczos scheme with the variational Monte Carlo method we can optimize the short- and long-range properties of the groundstate separately. This allows us to measure the long-range order of the groundstate of the $t$-$J$ model as a function of the coupling constant $J/t$, and identify a region of finite d-wave superconducting long-range order. With a lattice size of 50 sites we can reliably examine hole densities down to 0.16.

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