Dynamics of a Quantum Spin Liquid

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Elektrizität/Magnetismus/Optik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Springer Theses
Inhalt:	xv 140 S. 42 s/w Illustr. 4 farbige Illustr. 140 p. 46 illus. 4 illus. in color.
ISBN-13:	9783319239514
ISBN-10:	3319239511
Sprache:	Englisch
Herstellernummer:	978-3-319-23951-4
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Knolle, Johannes
Auflage:	1st ed. 2016
Hersteller:	Springer Nature Switzerland Springer International Publishing Springer International Publishing AG Springer Theses
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 15 mm
Von/Mit:	Johannes Knolle
Erscheinungsdatum:	13.04.2016
Gewicht:	0,407 kg

Artikel-ID: 104281217