Dynamics of a Quantum Spin Liquid

Johannes Knolle (Autor)

Buch | Softcover

XV, 140 Seiten

2018 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-79562-1 (ISBN)

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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.

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.

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.

Erscheinungsdatum	14.07.2018
Reihe/Serie	Springer Theses
Zusatzinfo	XV, 140 p. 46 illus., 4 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	2467 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Elektrotechnik / Energietechnik
	Technik ► Maschinenbau
Schlagworte	Dynamic Spin Correlations • Frustrated magnetism • Kitaev's Honeycomb Lattice Model • Quantum Spin Lliquid • Spectroscopy of Topological Spin Liquids • strongly correlated electron systems • Topological Magnetic Phase • Topological Spin Liquid
ISBN-10	3-319-79562-7 / 3319795627
ISBN-13	978-3-319-79562-1 / 9783319795621
Zustand	Neuware