Theory of the Kagome Lattice Ising Antiferromagnet in Weak Transverse Field

Abstract

We study the quantum Ising antiferromagnet on the Kagome lattice, with weak transverse field dynamics and other local perturbations. We analytically demonstrate the possibility of a disordered zero-temperature phase that is smoothly connected to the phase at strong transverse fields. This is done by means of an appropriate mapping to a compact U(1) gauge theory on the honeycomb lattice that is coupled to a charge-1 matter field. Our results are consistent with existing Monte-Carlo calculations. The differences with other commonly studied lattices (in which such disordered phases do not obtain at weak transverse fields) is explained. Ordered phases are also shown to be possible in principle in the weak transverse field limit, and are briefly studied.

11 pages, 10 figures

References in corpus (9)

• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
• Spin-1/2 Kagome Like Lattice in Volborthite Cu3V2O7(OH)2-H2O
• Topologically protected quantum bits from Josephson junction arrays
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• Exotic order in simple models of bosonic systems
• Microscopic models for fractionalized phases in strongly correlated systems
• Hidden long range order in Heisenberg Kagome antiferromagnets
• Bosonic model with $Z_3$ fractionalization

Cited by in corpus (25)

• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Quantum phases of Rydberg atoms on a kagome lattice
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Disorder by disorder and flat bands in the kagome transverse field Ising model
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Tripartite entangled plaquette state in a cluster magnet
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
• Disordered, Spin Liquid and Valence-Bond Ordered Phases of the Kagome Lattice Quantum Ising Models With Transverse Field and XXZ Dynamics
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Geometric criticality between plaquette phases in integer-spin kagome XXZ antiferromagnets
• U(1) spin liquids and valence bond solids in a large-N three-dimensional Heisenberg model
• Theory of quantum kagome ice and vison zero modes
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms