Towards low-temperature peculiarities of thermodynamic quantities for decorated spin chains

Abstract

We discuss the origin of an enigmatic low-temperature behavior of one-dimensional decorated spin systems which was coined the pseudo-transition. Tracing out the decorated parts results in the standard Ising-chain model with temperature-dependent parameters and the unexpected low-temperature behavior of thermodynamic quantities and correlations of the decorated spin chains can be tracked down to the critical point of the standard Ising-chain model at $\mathsf{H}=0$ and $\mathsf{T}=0$. We illustrate this perspective using as examples the spin-1/2 Ising-XYZ diamond chain, the coupled spin-electron double-tetrahedral chain, and the spin-1/2 Ising-Heisenberg double-tetrahedral chain.

arXiv comment12 pages, 17 figures

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• Low-temperature thermodynamics of the two-leg ladder Ising model with trimer rungs: A mystery explained
• A paradigm of spontaneous marginal phase transition at finite temperature in one-dimensional ladder Ising models
• Paradigm for approaching the forbidden phase transition in the one-dimensional Ising model at fixed finite temperature: Single chain in a magnetic field
• Spin Frustration and a `Half Fire, Half Ice' Critical Point from Nonuniform $g$-Factors
• Residual entropy of the dilute Ising chain in a magnetic field
• Pseudo-transition between antiferromagnetic and charge orders in a minimal spin-pseudospin model of one-dimensional cuprates
• Unusual low-temperature behavior in the half-filled band of the one-dimensional extended Hubbard model in atomic limit
• Phase Switch Driven by the Hidden Half-Ice, Half-Fire State in a Ferrimagnet
• Pseudotransitions in a dilute Ising chain
• Ising spin ladder with trimer rungs and next-nearest-neighbor coupling. Frustration in physics and agent models
• Quantum Otto engine mimicking Carnot near pseudotransitions in the one-dimensional extended Hubbard model in the atomic limit
• Dual thermal pseudocritical features in a spin-1/2 Ising chain with twin-diamond geometry
• Bifurcation in correlation length of the Ising model on a "Toblerone" lattice
• Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems
• Thermodynamic constraints and pseudotransition behavior in a one-dimensional water-like system
• Pseudo-critical behavior of spin-1/2 Ising diamond and tetrahedral chains
• Finding and classifying an infinite number of cases of the marginal phase transition in one-dimensional Ising models
• Half-ice, half-fire-driven ultranarrow phase crossover in one-dimensional decorated $q$-state Potts ferrimagnets: An AI-co-led exploration
• The Widom line in the Ising model on a decorated bilayer lattice