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.
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.
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
Johannes Knolle
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