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We analyze a model of spinless fermions on a triangular lattice athalf-filling interacting via strong nearest-neighbor repulsive interactions, V,using the variational Monte Carlo simulation technique. The existence ofthree-sublattice long-range order is confirmed by the finite-size scalinganalysis of the charge structural factor at V_c/t > 12. This ordered phaseshows characteristics expected for a so called "pinball liquid" state, whichhas the spontaneous separation of fermionic degrees of freedom into coexistingWigner crystal-like charge order (pin) and a metal (ball). The pins are fixedin order to maximize the kinetic energy gain of balls which move almost freely.The Fermi surface is reconstructed at V=V_c and remains towards the strongcoupling limit. These features reminiscent of the strong correlation togetherwith the large value of V_c/t distinguishes the pinball liquid from theconventional charge-density-wave.

Variational Monte Carlo Study of a Spinless Fermion t-V Model on a Triangular Lattice: Formation of a Pinball Liquid