Overview
- Nominated as an outstanding Ph.D. thesis by the Universidad Complutense de Madrid, Madrid, Spain
- Provides a full and accurate description of the Double Semion model, which is very misleading in the previous references
- A complementary study of topological phases from two perspectives: condensed matter physics and quantum computation
- Good ilustrations and detailed explanations on the calcuations performed along the thesis in the appendices
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
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Front Matter
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Introduction
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Front Matter
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Spin Systems
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Front Matter
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Fermionic Systems
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Front Matter
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Conclusions
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Front Matter
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Back Matter
Keywords
About this book
The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism.
Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Topological Orders with Spins and Fermions
Book Subtitle: Quantum Phases and Computation
Authors: Laura Ortiz Martín
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-23649-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-23648-9Published: 24 July 2019
Softcover ISBN: 978-3-030-23651-9Published: 14 August 2020
eBook ISBN: 978-3-030-23649-6Published: 11 July 2019
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XVII, 168
Number of Illustrations: 9 b/w illustrations, 56 illustrations in colour
Topics: Solid State Physics, Strongly Correlated Systems, Superconductivity, Quantum Information Technology, Spintronics, Quantum Computing
Industry Sectors: Electronics, Energy, Utilities & Environment