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  • © 2018

Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter

Authors:

  • Nominated as an outstanding Ph.D thesis by the University of New South Wales, Sydney, Australia
  • Offers a self-contained exploration of magnetic critical systems, and highlights asymptotic freedom as a central theme that provides a unifying picture of various magnetic critical phenomena
  • Demonstrates how to incorporate both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena, which offers significant new insights into an abundance of problems, and positions them in a much more general context

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction

    • Harley Scammell
    Pages 1-27
  3. Asymptotic Freedom in Quantum Magnets

    • Harley Scammell
    Pages 29-46
  4. A Nonperturbative Theory of Paramagnon Decay

    • Harley Scammell
    Pages 65-78
  5. Back Matter

    Pages 137-165

About this book

This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. 

The book’s main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects.

Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant – an effect known in quantum chromodynamics as “asymptotic freedom.” The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations.   

Another significant result concerns the developmentof a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified.  

A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin – the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established. 

Authors and Affiliations

  • ARC Centre of Excellence in Future Low-Energy Electronics Technologies, University of New South Wales, Sydney, Australia

    Harley Scammell

Bibliographic Information

  • Book Title: Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter

  • Authors: Harley Scammell

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-97532-0

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-97531-3Published: 06 September 2018

  • Softcover ISBN: 978-3-030-07369-5Published: 25 January 2019

  • eBook ISBN: 978-3-319-97532-0Published: 28 August 2018

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XX, 165

  • Number of Illustrations: 9 b/w illustrations, 48 illustrations in colour

  • Topics: Quantum Gases and Condensates, Quantum Physics, Strongly Correlated Systems, Superconductivity

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access