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

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.

Latex 8 pages, 2 uucompressed figures

References in corpus (2)

• EQUIVALENCES BETWEEN STOCHASTIC SYSTEMS
• DOMAIN WALLS IN THE QUANTUM TRANSVERSE ISING MODEL

Cited by in corpus (5)

• Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line
• Quantum phase transition in the spin-anisotropic quantum spherical model
• Finite-size effects in layered magnetic systems
• Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field $XY$ model
• Transverse-field $XY$ spin chain with the competing long-range interactions: Multi-criticality around the $XX$-symmetric point