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A lattice model with Fibonacci degree of degeneracy

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arxiv 2310.10058 v2 pith:LKM5OXNU submitted 2023-10-16 math-ph math.MP

Athena Wang This is my paper · ORCID
classification math-phmath.MP
keywords degeneracyfibonaccidegreedegreeslatticemodelsystemscalculate
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abstract

In this paper, we explore two different methods of finding the degrees of degeneracy for lattice model systems, specifically constructing one with a Fibonacci degree of degeneracy. We also calculate the number of ground states per site as the golden ratio $(\phi)$ for the system that we constructed and extend our results to systems with $k-$Step Fibonacci degrees of degeneracy. Finally, I end with a few open questions that we may examine for future works.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Statistical Mechanics and Categorical Entropy

    cond-mat.stat-mech 2025-05 reject novelty 4.0 of 10

    The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.

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