Ground state parameters, finite-size scaling, and low-temperature properties of the two-dimensional S=1/2 XY model

Abstract

We present high-precision quantum Monte Carlo results for the S=1/2 XY model on a two-dimensional square lattice, in the ground state as well as at finite temperature. The energy, the spin stiffness, the magnetization, and the susceptibility are calculated and extrapolated to the thermodynamic limit. For the ground state, we test a variety of finite-size scaling predictions of effective Lagrangian theory and find good agreement and consistency between the finite-size corrections for different quantities. The low-temperature behavior of the susceptibility and the internal energy is also in good agreement with theoretical predictions.

6 pages, 8 figures

References in corpus (2)

• Stochastic series expansion method with operator-loop update
• Kosterlitz-Thouless transition of quantum XY model in two dimensions

Cited by in corpus (51)

• Quantum Monte Carlo with Directed Loops
• Gradient methods for variational optimization of projected entangled-pair states
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Long-range interacting many-body systems with alkaline-earth-metal atoms
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Striped phase in a quantum XY-model with ring exchange
• Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions
• Directed Loop Updates for Quantum Lattice Models
• The antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field
• Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
• "Bad Metal" Conductivity of Hard Core Bosons
• Solving condensed-matter ground-state problems by semidefinite relaxations
• Aspect-ratio dependence of the spin stiffness of a two-dimensional XY model
• Lattice Pseudospin Model for $\nu =1$ Quantum Hall Bilayers
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Modified spin-wave theory with ordering vector optimization I: frustrated bosons on the spatially anisotropic triangular lattice
• Semiclassical approach to ground-state properties of hard-core bosons in two dimensions
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Measuring von Neumann entanglement entropies without wave functions
• Parallel transport in an entangled ring
• A New Method of Calculating the Spin-Wave Velocity $c$ of Spin-1/2 Antiferromagnets With $O(N)$ Symmetry in a Monte Carlo Simulation
• Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group
• Vortex Dynamics and Hall Conductivity of Hard Core Bosons
• The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
• Machine-Learning Study using Improved Correlation Configuration and Application to Quantum Monte Carlo Simulation
• The Coupled Cluster Method Applied to Quantum Magnets: A New LPSUB$m$ Approximation Scheme for Lattice Models
• Theoretical studies of the phase transition in the anisotropic 2-D square spin lattice
• Topological phase transiton of anisotropic XY model with Dzyaloshinskii-Moriya interaction
• Static impurities in a supersolid of interacting hard-core bosons on a triangular lattice
• The Spin-Half {\it XXZ} Antiferromagnet on the Square Lattice Revisited: A High-Order Coupled Cluster Treatment
• Modified spin-wave theory and spin liquid behavior of cold bosons on an inhomogeneous triangular lattice
• Constraint Effective Potential of the Magnetization in the Quantum XY Model
• Superfluid and supersolid phases of lattice bosons with ring-exchange interaction
• Finite-temperature phase transitions in a two-dimensional boson Hubbard model
• Tensor product variational formulation applied to pentagonal lattice
• Square-lattice s=1/2 XY model and the Jordan-Wigner fermions: The ground-state and thermodynamic properties
• Systematic Effective Field Theory Analysis of the D=2+1 Quantum XY Model at Low Temperatures
• Goldstone Boson Interaction in D=2+1 (Pseudo-)Lorentz-Invariant Systems with a Spontaneously Broken Internal Rotation Symmetry
• Study of Staggered Magnetization in the Spin-$S$ Square-Lattice Heisenberg Model Using Spiral Boundary Conditions
• Algorithms for the Markov Entropy Decomposition
• Persistent superfluid phase in a three-dimensional quantum XY model with ring exchange
• A self-consistent perturbative evaluation of ground state energies: application to cohesive energies of spin lattices
• ${\mathbb{Z}}_3$ quantum double in a superconducting wire array
• Quantum Transport Theory of Strongly Correlated Matter
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Finite-size scaling on the torus with periodic projected entangled-pair states
• Dynamics of zz spin correlations in the square-lattice spin-1/2 isotropic XY model
• Ground state properties of quantum Kagome ice hardcore bosons
• Deconfined classical criticality in the anisotropic quantum spin-$\frac{1}{2}$ XY model on the square lattice