Real Space Renormalization Group for One-Dimensional Ising Chains

Shraddha Singh; Vijay Singh

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Real Space Renormalization Group for One-Dimensional Ising Chains

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arxiv 2408.01021 v1 pith:JW7UTBA7 submitted 2024-08-02 cond-mat.stat-mech

Shraddha singh , Vijay Singh This is my paper

classification cond-mat.stat-mech

keywords isingchainapproachchainsgroupnamelyone-dimensionalreal

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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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