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Magnetic Field Effects in Low-Dimensional Quantum Magnets

  • Adam Iaizzi

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Adam Iaizzi
    Pages 1-27
  3. Adam Iaizzi
    Pages 99-148
  4. Adam Iaizzi
    Pages 149-150
  5. Back Matter
    Pages 151-156

About this book

Introduction

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, quantum Monte Carlo and the stochastic series expansion—that will serve as a valuable pedagogical introduction to students beginning in this field.

Keywords

quantum phase transitions classical phase transitions one- and two-dimensional magnetic systems deconfinement at quantum critical point exact diagonalization quantum Monte Carlo Stochastic Series Expansion Monte Carlo low-dimensional spin-half quantum antiferromagnet J-Q model metamagnetism

Authors and affiliations

  1. 1.Department of PhysicsNational Taiwan UniversityTaipeiTaiwan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-01803-0
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-01802-3
  • Online ISBN 978-3-030-01803-0
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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