Year: 2024
Type: article
Abstract: The classical Ising chain is a paradigm for the non-existence of phase transitions in one-dimensional systems and was solved by Ernst Ising 100 years ago. More recently, a decorated two-leg Ising ladder has received interest due to its curious thermodynamics that resemble a phase transition; a sharp peak in the specific heat at low, but finite temperature. We use this model to reveal a bifurcation in the correlation lengths due to a crossing of the sub-leading eigenvalues of the transfer matrix, which results in two distinct length scales necessary to describe the decay of correlations. We discuss this phenomenon in the context of the geometric frustration in the model. We also provide additional results to aid in the understanding of the curious thermodynamics of the model through a study of the magnetic susceptibilities.
Authors: Joseph Chapman, Bruno Tomasello, Sam Carr
Institution: University of Kent
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,135
OpenAlex ID: W4402923745