High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
Christopher Roth, Attila Szabó, A. H. MacDonald
Abstract
Establishing quantum spin liquid physics in microscopic models is a daunting task due to a variety of competing low-energy states, requiring sophisticated computational approaches to find the true ground state. Here, the authors present such a technique, based on neural networks with space-group symmetry, to obtain significantly improved ground-state wave functions of frustrated Heisenberg models. The authors also use this approach to find excited states and provide a blueprint for testing analytical predictions from spin-liquid theories.
Topics & Concepts
Variational Monte CarloStatistical physicsQuantum Monte CarloMonte Carlo methodGround stateVariety (cybernetics)Artificial neural networkSymmetry (geometry)BlueprintWave functionExcited stateMagnetHeisenberg modelPhysicsSpin (aerodynamics)Space (punctuation)Computer scienceQuantum mechanicsArtificial intelligenceMathematicsEngineeringFerromagnetismStatisticsThermodynamicsMechanical engineeringGeometryOperating systemAdvanced Condensed Matter PhysicsPhysics of Superconductivity and MagnetismQuantum many-body systems