Johannes Knolle

Dynamics of a Quantum Spin Liquid (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 140
• Erscheinungstermin: 5. April 2016
• Englisch
• ISBN-13: 9783319239538
• Artikelnr.: 44901636

Autorenporträt

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.

Inhaltsangabe

Introduction.- Kitaev's Honeycomb Lattice Model.- Dynamic Spin Correlations - Mapping to a Quantum Quench.- Results for the Structure Error.- Non-Abelian Phase and the Effect of Disorder.- Raman Scattering.- Conclusion and Outlook.- Appendix A: Pfaffians from Path Integrals.- Appendix B: X-Ray Edge and Singular Integral Equations.- Appendix C: Exact Diagonalization of Four Dimers.- Appendix D: Calculation of Matrix Elements.