Phenomenological lattice model for dynamic spin and charge fluctuations in the cuprates

TL;DR

This paper introduces a phenomenological lattice model that describes the coupled dynamics of spin and charge fluctuations in cuprate superconductors, capturing various static and dynamic ordering phenomena observed experimentally.

Contribution

It develops a quantum lattice framework with two order parameters to model spin and charge/bond order fluctuations, including static stripe and plaquette modulations.

Findings

Model reproduces spin excitations in static and fluctuating charge states

Captures different static charge/bond order patterns such as stripes and plaquettes

Provides a unified description consistent with neutron scattering experiments

Abstract

Motivated by recent neutron scattering experiments on the cuprate superconductors, we present a phenomenological framework describing the dynamics of collective spin excitations coupled to charge/bond order fluctuations. Our quantum lattice model contains two order parameter fields, and can capture spin excitations both in broken-symmetry states with static lattice modulations, as well as in homogeneous states where the charge/bond order is fluctuating. We present results for different types of static charge/bond order, namely site- and bond-centered stripes, and plaquette modulation.