Thermodynamics of two-dimensional spin models with bimodal random-bond disorder

Abstract

We use numerical linked cluster expansions to study thermodynamic properties of the two-dimensional spin-1/2 Ising, XY, and Heisenberg models with bimodal random-bond disorder on the square and honeycomb lattices. In all cases, the nearest-neighbor coupling between the spins takes values $\pm J$ with equal probability. We obtain the disorder averaged (over all disorder configurations) energy, entropy, specific heat, and uniform magnetic susceptibility in each case. These results are compared with the corresponding ones in the clean models. Analytic expressions are obtained for low orders in the expansion of these thermodynamic quantities in inverse temperature.

arXiv comment10 pages, 8 figures, published version

References in corpus (35)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• Lower Critical Dimension of Ising Spin Glasses
• Quantum Quenches in the Thermodynamic Limit
• A Short Introduction to Numerical Linked-Cluster Expansions
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Random-bond Ising model in two dimensions, the Nishimori line, and supersymmetry
• Criticality in the two-dimensional random-bond Ising model
• Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
• Kosterlitz-Thouless transition of quantum XY model in two dimensions
• Twenty Five Years of Asymptotic Freedom
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Zero and low temperature behavior of the two-dimensional $\pm J$ Ising spin glass
• Chaos and universality in two-dimensional Ising spin glasses
• Quantum quenches and many-body localization in the thermodynamic limit
• Domain-Wall Energies and Magnetization of the Two-Dimensional Random-Bond Ising Model
• Correlation length of the two-dimensional Ising spin glass with bimodal interactions
• Critical thermodynamics of the two-dimensional +/-J Ising spin glass
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• The two-dimensional quantum Heisenberg antiferromagnet: effective Hamiltonian approach to the thermodynamics
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Kosterlitz-Thouless transition in planar spin models with bond dilution
• Spiral antiferromagnets beyond the spin-wave approximation: frustrated $XY$ and Heisenberg models in the honeycomb lattice
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• Quantum quenches in the thermodynamic limit. II. Initial ground states
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Finite-size scaling in two-dimensional Ising spin glass models
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Numerically exact correlations and sampling in the two-dimensional Ising spin glass
• Numerical Study of a Two-Dimensional Quantum Antiferromagnet with Random Ferromagnetic Bonds
• Excitations of the bimodal Ising spin glass on the brickwork lattice
• Berezinskii-Kosterlitz-Thouless transition in two dimensional random-bond XY model on a square lattice

Cited by in corpus (15)

• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Optimizing linked cluster expansions by white graphs
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Numerical linked cluster expansions for inhomogeneous systems
• Domain Growth and Aging in the Random Field XY Model: A Monte Carlo Study
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models
• Numerical linked-cluster expansions for disordered lattice models
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• L-based numerical linked cluster expansion for square lattice models
• Numerical linked-cluster expansions for two-dimensional spin models with continuous disorder distributions
• Linked cluster expansion on trees