Spin-lattice coupling and magnetic orderings in U(1) quantum spin liquids

Abstract

In this thesis, we study the properties of quantum spin liquids by spin-lattice coupling and magnetic ordering. Many of previous literature focused on properties of quantum spin liquids itself, but we focused on the interaction between quantum spin liquids and systems such as phonons and order parameters. From the analysis of the interaction between quantum spin liquids and systems, we propose experiments to detect quantum spin liquids phases.