Low-Temperature Quantum Critical Behaviour of Systems with Transverse Ising-like Intrinsic Dynamics

TL;DR

This paper investigates the low-temperature quantum critical behavior of transverse Ising-like systems using renormalization group analysis, revealing phase diagrams and critical exponents that align with experimental observations in various quantum materials.

Contribution

It provides a detailed theoretical analysis of quantum critical phenomena in transverse Ising-like systems, including phase diagrams and critical exponents near three dimensions.

Findings

Phase diagram near and at d=3 derived.

Critical exponents characterized for different quantum fluctuation approaches.

Results agree with experimental data on ferroelectric oxides and displacive systems.

Abstract

The low-temperature properties and crossover phenomena of $d$-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group equations. The phase diagram is obtained near and at $d=3$ and several sets of critical exponents are determined which describe different responses of a system to quantum fluctuations according to the way of approaching the quantum critical point. The results are in remarkable agreement with experiments for a wide variety of compounds exhibiting a quantum phase transition, as the ferroelectric oxides and other displacive systems.