Abstract
Extensions of RVB wavefunctions of the form introduced by Liang, Douçot and Anderson to systems described by the t − J Hubbard model with infinitely heavy ( t → 0) holes, are investigated. The self-overlaps of these wavefunctions, with long-range singlets at any amount of doping, are mapped to partition functions of statistical-mechanics systems. By identifying the classical “hamiltonians” which generate these partition functions we may infer the behavior of the RVB wavefunction as the doping is varied. Undoped states with long-range antiferromagnetic order will lose it as doping is increased. The instantaneous connected static structure factor S( q) for q = (π, π) is singular but non-diverging at the transition. The results are compared with recent work on the percolative transition of the diluted Heisenberg model in 2D.
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