Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

Yasunari Higuchi; Masato Takei; Yu Zhang

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arXiv · 1010.1586

Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

Yasunari Higuchi·Masato Takei·Yu Zhang

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Abstract

We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations, except a single hyperscaling relation, hold under the power law assumptions for the one-arm path and four-arm paths.

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Yasunari Higuchi, Masato Takei, Yu Zhang. 2010-10-08. Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations. https://arxiv.org/abs/1010.1586

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