Universal quantum critical dynamics of two-dimensional antiferromagnets

TL;DR

This paper investigates the universal critical behavior of two-dimensional antiferromagnets near quantum phase transitions, providing explicit dynamic scaling functions and implications for neutron scattering experiments on doped cuprates.

Contribution

It introduces explicit quantum-critical dynamic scaling functions for 2D antiferromagnets using a 1/N expansion, including effects of randomness and frustration.

Findings

Computed dynamic scaling functions to two-loops in 1/N expansion

Analyzed effects of randomness and frustration on critical properties

Discussed implications for neutron scattering in doped cuprates

Abstract

The universal dynamic and static properties of two dimensional antiferromagnets in the vicinity of a zero-temperature phase transition from long-range magnetic order to a quantum disordered phase are studied. Random antiferromagnets with both N\'{e}el and spin-glass long-range magnetic order are considered. Explicit quantum-critical dynamic scaling functions are computed in a 1/N expansion to two-loops for certain non-random, frustrated square lattice antiferromagnets. Implications for neutron scattering experiments on the doped cuprates are noted.