Dynamic Simulations of Strongly Coupled Spin Ensembles for Inferring Nature of Electronic Correlations from Nuclear Magnetic Resonance

TL;DR

This paper introduces a simulation package for nuclear magnetic resonance experiments that helps analyze the effects of strong electronic spin correlations on nuclear spin dynamics, offering new insights into correlated materials.

Contribution

The paper presents a novel simulation tool and methodology for inferring electronic correlation properties from NMR data in strongly correlated systems.

Findings

Classification of temporal asymmetries induced by interactions

Pulse-dependent spectral shifts as a diagnostic tool

Simulation package enables inference of correlation range and anisotropy

Abstract

We develop an efficient package for the simulation of nuclear magnetic resonance spin echo experiments to study the effects of strong electronic spin correlations on the dynamics of the nuclear spin ensemble. A mean-field model is used to study correlated electronic phases through their hyperfine interaction with nuclear spins. We explore the dynamics of the interacting nuclear ensemble and discuss the key behaviors of the system. In particular, we classify the types of temporal asymmetry that the interaction induces in the system as well as a pulse-dependent shift in the spectral domain. Using these results, we discuss how careful measurement of the pulse-dependent shift can be used to extract information about the anisotropy of the electronic interaction and how these results represent a novel tool for the examination of exotic NMR signatures in strongly correlated materials. Finally, we review specific aspects of the simulation package developed for our exploration and give explicit examples where package can be used to infer range and anisotropy of electronic correlations. In particular, we discuss its structure, accuracy, and the technical merits of the various approximations used to model the nuclear spin ensemble.