Disorder by disorder and flat bands in the kagome transverse field Ising model

Abstract

We study the transverse field Ising model on a kagome and a triangular lattice using high-order series expansions about the high-field limit. For the triangular lattice our results confirm a second-order quantum phase transition in the 3d XY universality class. Our findings for the kagome lattice indicate a notable instance of a disorder by disorder scenario in two dimensions. The latter follows from a combined analysis of the elementary gap in the high- and low-field limit which is shown to stay finite for all fields h. Furthermore, the lowest one-particle dispersion for the kagome lattice is extremely flat acquiring a dispersion only from order eight in the 1/h limit. This behaviour can be traced back to the existence of local modes and their breakdown which is understood intuitively via the linked cluster expansion.

arXiv comment11 pages, 11 figrues

References in corpus (11)

• Ising models of quantum frustration
• Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
• Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
• Two-dimensional periodic frustrated Ising models in a transverse field
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• The Structure of Operators in Effective Particle-Conserving Models
• Series Expansions for Excited States of Quantum Lattice Models
• Theory of the Kagome Lattice Ising Antiferromagnet in Weak Transverse Field
• The XY Model and the Three-state Antiferromagnetic Potts model in Three Dimensions: Critical Properties from Fluctuating Boundary Conditions
• Disorder from Disorder in a Strongly Frustrated Transverse Field Ising Chain

Cited by in corpus (30)

• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• Quantum criticality of two-dimensional quantum magnets with long-range interactions
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• A Kagome Map of Spin Liquids: from XXZ to Dzyaloshinskii-Moriya Ferromagnet
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Optimizing linked cluster expansions by white graphs
• The Ising model in a light-induced quantized transverse field
• Caution on emergent continuous symmetry: a Monte Carlo investigation of transverse-field frustrated Ising model on triangle and honeycomb lattices
• Quantum criticality and excitations of a long-range anisotropic $XY$-chain in a transverse field
• Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
• Gauge-theoretic origin of Rydberg quantum spin liquids
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
• Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
• Frustrated topological symmetry breaking: geometrical frustration and anyon condensation
• Persisting topological order via geometric frustration
• High-order series expansion of non-Hermitian quantum spin models
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
• Fine-Grained Tensor Network Methods
• Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Quantum disorder and local modes of the fully-frustrated transverse field Ising model on a diamond chain
• Dynamic structure factor of Heisenberg bilayer dimer phases in the presence of quenched disorder and frustration
• Quantum-critical properties of the one- and two-dimensional random transverse-field Ising model from large-scale quantum Monte Carlo simulations
• Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
• Absence of long-range order in a three-dimensional stacked Ising antiferromagnet on kagome lattice
• Emergence of a 2d macro-spin liquid in a highly frustrated 3d quantum magnet
• Extracting quantum-critical properties from directly evaluated enhanced perturbative continuous unitary transformations