# Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures

## TL;DR

This paper investigates the finite-temperature quasitransitions in one-dimensional models, demonstrating that physical quantities exhibit power-law behavior near a quasicritical point, revealing a form of universality in their exponents.

## Contribution

The study rigorously calculates quasicritical exponents for various one-dimensional models, establishing a universal set of exponents characterizing quasitransitions.

## Key findings

- Quasicritical exponents for specific heat, susceptibility, and correlation length are all universal.
- Physical quantities near the quasicritical temperature follow power-law behavior.
- Quasitransitions exhibit features similar to second-order phase transitions without true divergences.

## Abstract

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and magnetic susceptibility, which are reminiscent of divergences accompanying a continuous (second-order) phase transition. The question whether these robust finite peaks follow some power law around the quasicritical temperature is addressed. Although there is no actual divergence of these quantities at a quasicritical temperature, a power-law behavior fits precisely both ascending as well as descending part of the peaks in the vicinity but not too close to a quasicritical temperature. The specific values of the quasicritical exponents are rigorously calculated for a class of one-dimensional models (e.g. Ising-XYZ diamond chain, coupled spin-electron double-tetrahedral chain, Ising-XXZ two-leg ladder, and Ising-XXZ three-leg tube), whereas the same set of quasicritical exponents implies a certain `universality' of quasitransitions of one-dimensional models. Specifically, the values of the quasicritical exponents for one-dimensional models are: $\alpha=\alpha'=3$ for the specific heat, $\gamma=\gamma'=3$ for the susceptibility and $\nu=\nu'=1$ for the correlation length.