Unifying static and dynamic properties in 3D quantum antiferromagnets

Abstract

Quantum Monte Carlo simulations offer an unbiased means to study the static and dynamic properties of quantum critical systems, while quantum field theory provides direct analytical results. We study three dimensional, critical quantum antiferromagnets by performing a combined analysis using both quantum field theory calculations and quantum Monte Carlo data. Explicitly, we analyze the order parameter (staggered magnetization), Néel temperature, quasiparticle gaps, and the susceptibilities in the scalar and vector channels. We connect the two approaches by deriving descriptions of the quantum Monte Carlo observables in terms of the quasiparticle excitations of the field theory. The remarkable agreement not only unifies the description of the static and dynamic properties of the system, but also constitutes a thorough test of perturbative O(3) quantum field theory and opens new avenues for the analytical guidance of detailed numerical studies.

New, improved, extended discussion throughout and in particular of Higgs linewidth comparison

References in corpus (8)

• Quantum Magnets under Pressure: Controlling Elementary Excitations in TlCuCl3
• Quantum and classical criticality in a dimerized quantum antiferromagnet
• Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
• Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
• Critical properties and Bose Einstein Condensation in dimer spin systems
• Spectral function of the Higgs mode in 4-\varepsilon dimensions
• Multiple universalities in order-disorder magnetic phase transitions
• Universal scalings of Néel temperature, staggered magnetization density, and spinwave velocity of three-dimensional disordered and clean quantum antiferromagnets