Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems
Dominic V. Else, Ryan Thorngren
Abstract
Exploring the consequences of the arrangement of spins and its space-group symmetry, a systematic theory is given to determine under what circumstances the ground state of a quantum magnet must be a nontrivial quantum spin liquid if no ordering is observed. This generalizes the famous Lieb-Schultz-Mattis theorem. The theory places the theorem and its generalizations into the context of the general theory of topological phases of matter with space-group symmetries.
Topics & Concepts
PhysicsQuantumSpin (aerodynamics)Theoretical physicsQuantum mechanicsTopology (electrical circuits)Statistical physicsMathematicsCombinatoricsThermodynamicsQuantum many-body systemsTopological Materials and PhenomenaAlgebraic structures and combinatorial models