Tunneling-induced restoration of classical degeneracy in quantum kagome ice
arXiv:1806.08145 · doi:10.1103/PhysRevB.99.134440
Abstract
Quantum effect is expected to dictate the behaviour of physical systems at low temperature. For quantum magnets with geometrical frustration, quantum fluctuation usually lifts the macroscopic classical degeneracy, and exotic quantum states emerge. However, how different types of quantum processes entangle wave functions in a constrained Hilbert space is not well understood. Here, we study the topological entanglement entropy (TEE) and the thermal entropy of a quantum ice model on a geometrically frustrated kagome lattice. We find that the system does not show a topological order down to extremely low temperature, yet continues to behave like a classical kagome ice with finite residual entropy. Our theoretical analysis indicates an intricate competition of off-diagonal and diagonal quantum processes leading to the quasi-degeneracy of states and effectively, the classical degeneracy is restored.
arXiv comment14 pages, 16 figures, added ED results for the effective model
References in corpus (40)
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Quantum Spin Liquids
- Quantum Spin Liquid States
- Magnetic Pyrochlore Oxides
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- An RVB phase in the triangular lattice quantum dimer model
- Quantum Monte Carlo with Directed Loops
- Identifying Topological Order by Entanglement Entropy
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- A Field Guide to Spin Liquids
- Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
- Ising models of quantum frustration
- Entanglement spectrum and boundary theories with projected entangled-pair states
- Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Generic quantum spin ice
- Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
- Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
- Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
- Quantum Ice : a quantum Monte Carlo study
- Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
- The phase diagram of the hexagonal lattice quantum dimer model
- Quantum order by disorder and accidental soft mode Er2Ti2O7
- Disorder-Induced Entanglement in Spin Ice Pyrochlores
- Finite Size Scaling of Mutual Information: A Scalable Simulation
- Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
- Emergent Order in the Kagome Ising Magnet Dy3Mg2Sb3O14
- Numerical evidence of quantum melting of spin ice: quantum-classical crossover
- How quantum are classical spin ices?
- Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
- Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
- Quantum Kagome Ice
- Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
- Dynamic quantum kagome ice
- Crystal Field Levels and Magnetic Anisotropy in the Kagome Compounds , , and
- Theory of quantum kagome ice and vison zero modes
- Effective Hamiltonians for some highly frustrated magnets
Cited by in corpus (6)
- Fragmentation in Frustrated Magnets -- A review
- Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
- Generation of ice states through deep reinforcement learning
- Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
- Neutron scattering from fragmented frustrated magnets
- Taming spin susceptibilities in frustrated quantum magnets: Mean-field form and approximate nature of the quantum-to-classical correspondence