Overview
- 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)
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Front Matter
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Back Matter
Keywords
About this book
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
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