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arXiv · 2408.01021

Real Space Renormalization Group for One-Dimensional Ising Chains

Shraddha singh·Vijay Singh
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Abstract

We apply the real space Renormalisation Group (RNG) technique to a variety of one-dimensional Ising chains. We begin by recapitulating the work of Nauenberg for an ordered Ising chain, namely the decimation approach. We extend this work to certain non-trivial situation namely, the Alternate Ising Chain and Fibonacci Ising chain. Our approach is pedagogical and accessible to undergraduate students who have had a first course in statistical mechanics.

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Shraddha singh, Vijay Singh. 2024-08-02. Real Space Renormalization Group for One-Dimensional Ising Chains. https://arxiv.org/abs/2408.01021

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