Paradigm for approaching the forbidden phase transition in the one-dimensional Ising model at fixed finite temperature: Single chain in a magnetic field

Abstract

In a previous paper [Weiguo Yin, Phys. Rev. Res. 6, 013331 (2024)], the forbidden spontaneous phase transition in the one-dimensional Ising model was found to be approachable arbitrarily closely in decorated ladders by ultranarrow phase crossover (UNPC) at a given finite temperature $T_0$ with the crossover width $2\delta T$ reduced exponentially, which resembles a genuine first-order transition with large latent heat. Here, I reveal that the forbidden phase transition can be approached at fixed $T_0$ as well in decorated single-chain Ising models in the presence of a magnetic field, in which $T_0$ is determined by the interactions involving only the decorated parts and the magnetic field, while $2\delta T$ is independently, exponentially reduced ($\delta T=0$ means a genuine transition) by restoring the ferromagnetic interaction between the ordinary spins on the chain backbone -- which was neglected in the previous studies of pseudotransition -- thus manifesting that this asymptoticity to the forbidden transition is essentially the buildup of coherence in preformed crossover of local states. Furthermore, I show that the UNPC can be realized even in the absence of the conventional geometric frustration because the magnetic field itself can induce previously unnoticed hidden spin frustration. These findings make the doors wide open to the engineering and utilization of UNPC as a new paradigm for exploring exotic phenomena and 1D device applications.

arXiv comment23 pages, 8 figures

References in corpus (18)

• Probing many-body dynamics on a 51-atom quantum simulator
• Weak pairwise correlations imply strongly correlated network states in a neural population
• Large-scale photonic Ising machine by spatial light modulation
• General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Quasi-phases and pseudo-transitions in one-dimensional models with nearest neighbor interactions
• Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• FPGA Hardware Acceleration of Monte Carlo Simulations for the Ising Model
• Peculiarities in pseudo-transitions of a mixed spin-$(1/2,1)$ Ising-Heisenberg double-tetrahedral chain in an external magnetic field
• Low-temperature thermodynamics of the two-leg ladder Ising model with trimer rungs: A mystery explained
• Towards low-temperature peculiarities of thermodynamic quantities for decorated spin chains
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Anomalous thermodynamic response in the vicinity of pseudo-transition of a spin-1/2 Ising diamond chain
• A paradigm of spontaneous marginal phase transition at finite temperature in one-dimensional ladder Ising models
• Spin Frustration and a `Half Fire, Half Ice' Critical Point from Nonuniform $g$-Factors
• Machine-learning the spectral function of a hole in a quantum antiferromagnet

Cited by in corpus (8)

• 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
• Exact solution of the frustrated Potts model with next-nearest-neighbor interactions in one dimension via AI bootstrapping
• Bifurcation in correlation length of the Ising model on a "Toblerone" lattice
• Quantum Otto engine mimicking Carnot near pseudotransitions in the one-dimensional extended Hubbard model in the atomic limit
• Thermodynamic constraints and pseudotransition behavior in a one-dimensional water-like system
• Half-ice, half-fire-driven ultranarrow phase crossover in one-dimensional decorated $q$-state Potts ferrimagnets: An AI-co-led exploration