Finite-Size Scaling and Universality in the Spin 1 Quantum XY Chain

TL;DR

This paper investigates the phase transitions and universality in the spin-1 XY chain in a transverse field, confirming 2D Ising universality class through finite-size scaling analysis.

Contribution

It provides a detailed finite-size scaling study of the spin-1 XY chain, establishing universality classes and phase diagram features.

Findings

Paramagnetic, ferromagnetic, and oscillatory phases identified.

Transition line belongs to the 2D Ising universality class.

Finite-size scaling functions confirm universality.

Abstract

The spin-1 XY chain in a transverse field is studied using finite-size scaling. The ground state phase diagram displays a paramagnetic, an ordered ferromagnetic and an ordered oscillatory phase. The paramagnetic-ferromagnetic transition line belongs to the universality class of the 2D Ising model. Along this line, universality is confirmed for the finite-size scaling functions of several correlation lengths and for the conformal operator content.