Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
arXiv:1808.09827 · doi:10.1103/PhysRevB.98.174433
Abstract
The antiferromagnetic Ising model on the pyrochlore lattice exhibits a quantum phase transition in an applied transverse field from the low-field quantum spin-ice phase to the high-field polarized regime. Recent field-theoretical analysis and series expansion results indicate this to be a discontinuous, first-order transition. Here, we explore this transition using quantum Monte Carlo simulations in order to assess this scenario and study the thermodynamic properties in the vicinity of the quantum phase transition. For this purpose, we also consider several variants of extended cluster-update schemes for the transverse field Ising antiferromagnet on frustrated lattices and compare their performance to the conventional bond-based algorithm for the transverse field Ising model on the pyrochlore lattice.
arXiv comment13 pages, 15 figures, v2: as published
References in corpus (17)
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Stochastic series expansion method with operator-loop update
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Ising pyrochlore magnets: Low temperature properties, ice rules and beyond
- Thermodynamic Properties of the Dipolar Spin Ice Model
- Quantum Ice : a quantum Monte Carlo study
- Stochastic series expansion method for quantum Ising models with arbitrary interactions
- Disorder-Induced Entanglement in Spin Ice Pyrochlores
- Monte Carlo simulation of ice models
- Finite Temperature Transitions in Large Magnetic Field in Dipolar Spin Ice
- Dynamics of Topological Excitations in a Model Quantum Spin Ice
- Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
- Order-by-disorder and quantum Coulomb phase in quantum square ice
- Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
- Quantum cluster algorithm for frustrated Ising models in a transverse field
- Gapless edge states and their stability in two-dimensional quantum magnets
- Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
Cited by in corpus (6)
- Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
- Monte Carlo based techniques for quantum magnets with long-range interactions
- Quantum spin ice in three-dimensional Rydberg atom arrays
- Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
- Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
- Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores