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Paper detail

Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions

We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its exponent for the logarithm of the susceptibility. We find criticality in the form of a zeta function singularity. As an example, we present results for a long-range Ising model.

preprint2009arXivOpen access
Ken-Ichi AokiTamao KobayashiHiroshi Tomita
cond-mat.stat-mechhep-phquant-ph
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Ken-Ichi AokiTamao KobayashiHiroshi Tomita

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