Abstract
The motion of a single hole in a $t\ensuremath{-}J$ model for the two-dimensional spin-gap compound ${\mathrm{SrCu}}_{2}({\mathrm{BO}}_{3}{)}_{2}$ is investigated. The undoped Heisenberg model for this system has an exact dimer eigenstate and shows a phase transition between a dimerized and a N\'eel phase at a certain ratio of the magnetic couplings. We calculate the photoemission spectrum in the disordered phase using a generalized spin-polaron picture. By varying the interdimer hopping parameters we find a crossover between a narrow quasiparticle band regime known from other strongly correlated systems and free-fermion behavior. The hole motion in the N\'eel-ordered phase is also briefly considered.
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