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We present a new numerical method to study Hamiltonians with long-range interactions. The CPU time required for the new technique grows like VlnV with the number of degrees of freedom V instead of the V² dependence naively required. We apply the method to the XY model in 2 and 3 dimensions with a power-law interaction. By studying some critical exponents we show that the short- and long-range models belong to different universality classes.
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Dagotto et al. (1988) studied this question.
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