Quantum criticality and entanglement for the two-dimensional long-range Heisenberg bilayer
Menghan Song, Jiarui Zhao, Yang Qi, Junchen Rong, Zi Yang Meng
Abstract
The authors conduct here a pioneering and unbiased investigation into the entanglement properties of (2+1)-dimensional O(3) quantum critical points and two-dimensional N\'eel states in systems with long-range interactions. This study uncovers exotic properties, such as the vanishing of logarithmic corrections to entanglement entropies at QCPs and an enhancement in N\'eel states as long-range interactions amplify. Moreover, they determine precise critical exponents of QCPs influenced by long-range interactions, characterized by three distinct renormalization group fixed points.
Topics & Concepts
Quantum entanglementRenormalization groupCritical exponentCriticalityLogarithmRange (aeronautics)PhysicsQuantumQuantum mechanicsRenormalizationStatistical physicsMathematicsMaterials sciencePhase transitionComposite materialMathematical analysisNuclear physicsQuantum many-body systemsQuantum and electron transport phenomenaQuantum Information and Cryptography