
Dynamics of a Quantum Spin Liquid
Johannes Knolle(Author)
Springer (Publisher)
Published on 19. April 2018
Book
Paperback/Softback
XV, 140 pages
978-3-319-79562-1 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
42 s/w Abbildungen, 4 farbige Abbildungen
XV, 140 p. 46 illus., 4 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
248 gr
ISBN-13
978-3-319-79562-1 (9783319795621)
DOI
10.1007/978-3-319-23953-8
Schweitzer Classification
Other editions
Additional editions

Johannes Knolle
Dynamics of a Quantum Spin Liquid
Book
04/2016
Springer
€106.99
Shipment within 10-15 days
Person
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.
Content
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.