Higher dimensional realizations of activated dynamic scaling at random quantum transitions

TL;DR

This paper demonstrates that certain unique properties of the one-dimensional random quantum Ising model are also present in higher-dimensional dilute quantum Ising systems near a specific quantum transition, indicating these features are not exclusive to one dimension.

Contribution

It extends the understanding of activated dynamic scaling properties from one-dimensional models to higher dimensions in dilute quantum Ising systems.

Findings

Properties of 1D random quantum Ising model are shared by higher-dimensional systems.

Shared properties are not artifacts of one dimension but require special conditions in higher dimensions.

The study broadens the applicability of activated dynamic scaling concepts.

Abstract

We show that many of the unusual properties of the one-dimensional random quantum Ising model are shared also by dilute quantum Ising systems in the vicinity of a certain quantum transition in {\em any} dimension $d > 1$. Thus, while these properties are not an artifact of $d=1$, they do require special circumstances in higher dimensions.