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Dynamics of a Quantum Spin Liquid

  • Book
  • © 2016

Overview

Authors:
  1. Johannes Knolle

    1. Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom

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  • Nominated by the Max Planck Institute for the Physics of Complex Systems, Dresden, as an outstanding Thesis
  • Presents for the first time an exact calculation for experimental signatures of fractionalized quasiparticles for a two-dimensional strongly-correlated topological magnetic phase
  • Relevant to theorists and experimentalists alike with connections to other fields in condensed matter and many-body physics
  • Technical advances covered in detail, enabling interested researchers to benefit from the methodological progress underpinning the presented results

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Introduction

    • Johannes Knolle
    Pages 1-22

  3. Kitaev’s Honeycomb Lattice Model

    • Johannes Knolle
    Pages 23-36

  4. Dynamic Spin Correlations: Mapping to a Quantum Quench

    • Johannes Knolle
    Pages 37-57

  5. Results for the Structure Factor

    • Johannes Knolle
    Pages 59-65

  6. Non-Abelian Phase and the Effect of Disorder

    • Johannes Knolle
    Pages 67-85

  7. Raman Scattering

    • Johannes Knolle
    Pages 87-97

  8. Conclusion and Outlook

    • Johannes Knolle
    Pages 99-104

  9. Back Matter

    Pages 105-140
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Keywords

About this book

This thesis presents an exact theoretical study of dynamical correlation functions in different phases of a two-dimensional quantum spin liquid. By calculating the dynamical spin structure factor and the Raman scattering cross section, this thesis shows that there are salient signatures—qualitative and quantitative—of the Majorana fermions and the gauge fluxes emerging as effective degrees of freedom in the exactly solvable Kitaev honeycomb lattice model. The model is a representative of a class of spin liquids with Majorana fermions coupled to Z2 gauge fields. The qualitative features of the response functions should therefore be characteristic for this broad class of topological states.

Authors and Affiliations

  • Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom

    Johannes Knolle

About the author

Johannes Knolle completed his doctoral studies at the Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (with Prof. R. Moessner). He is now a Postdoc at the Cavendish Laboratory, University of Cambridge, UK.

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