Critical analysis of two-dimensional classical XY model
Raghav G Jha
Abstract
Abstract We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely determine the critical temperature corresponding to the Berezinskii–Kosterlitz–Thouless (BKT) phase transition to be 0.89290(5) which is an improvement compared to earlier studies using tensor network methods.
Topics & Concepts
Classical XY modelRenormalization groupSquare latticeCritical phenomenaPhysicsLimit (mathematics)Phase transitionStatistical physicsThermodynamic limitMathematical physicsMathematicsCritical exponentTensor (intrinsic definition)Lattice (music)Square (algebra)RenormalizationMean squareDensity matrix renormalization groupExact solutions in general relativityIsing modelCritical point (mathematics)Quantum many-body systemsTheoretical and Computational PhysicsPhysics of Superconductivity and Magnetism