Real Space Renormalization Group for One-Dimensional Ising Chains
Statistical Mechanics
2024-08-05 v1
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.
Keywords
Cite
@article{arxiv.2408.01021,
title = {Real Space Renormalization Group for One-Dimensional Ising Chains},
author = {Shraddha singh and Vijay Singh},
journal= {arXiv preprint arXiv:2408.01021},
year = {2024}
}