Magnetic Field Effects in Low-Dimensional Quantum Magnets

by Adam Iaizzi

Overview

This thesis is a tour-de-force combination of analytic and computational results clarifying and resolving important questions about the nature of quantum phase transitions in one- and two-dimensional magnetic systems. The author presents a comprehensive study of a low-dimensional spin-half quantum antiferromagnet (the J-Q model) in the presence of a magnetic field in both one and two dimensions, demonstrating the causes of metamagnetism in such systems and providing direct evidence of fractionalized excitations near the deconfined quantum critical point. In addition to describing significant new research results, this thesis also provides the non-expert with a clear understanding of the nature and importance of computational physics and its role in condensed matter physics as well as the nature of phase transitions, both classical and quantum. It also contains an elegant and detailed but accessible summary of the methods used in the thesis—exact diagonalization, Monte Carlo, quantumMonte Carlo and the shastic series expansion—that will serve as a valuable pedagogical introduction to students beginning in this field.

Product Details

ISBN-13:	9783030018023
Publisher:	Springer International Publishing
Publication date:	11/29/2018
Series:	Springer Theses
Edition description:	1st ed. 2018
Pages:	156
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Adam Iaizzi received his PhD from Boston University in 2018. He now holds a postdoctoral position at National Taiwan University.

Table of Contents

Chapter1. Introduction.- Chapter2. Saturation Transition in the 1D J-Q Model.- Chapter3. Saturation Transition in the 2D J-Q Model.- Chapter4. Signatures of Deconned Quantum Criticality in the 2D J-Q-h Model.- Chapter5. Methods.- Chapter6. Conclusions.