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We consider a Hubbard-like model of strongly-interacting spinless fermionsand hardcore bosons on a square lattice, such that nearest neighbor occupationis forbidden. Stripes (lines of holes across the lattice forming antiphasewalls between ordered domains) are a favorable way to dope this system belowhalf-filling. The problem of a single stripe can be mapped to a spin-1/2 chain,which allows understanding of its elementary excitations and calculation of thestripe's effective mass for transverse vibrations. Using Lanczos exactdiagonalization, we investigate the excitation gap and dispersion of a hole ona stripe, and the interaction of two holes. We also study the interaction oftwo, three, and four stripes, finding that they repel, and the interactionenergy decays with stripe separation as if they are hardcore particles movingin one (transverse) direction. To determine the stability of an array ofstripes against phase separation into particle-rich phase and hole-rich liquid,we evaluate the liquid's equation of state, finding the stripe-array is notstable for bosons but is possibly stable for fermions.Comment: 24 pages, 18 figure

Stripes and holes in a two-dimensional model of spinless fermions or hardcore bosons