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.

10 pages, 8 figures, published version

References in corpus (17)

• 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
• A Short Introduction to Numerical Linked-Cluster Expansions
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• 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
• Quantum quenches and many-body localization in the thermodynamic limit
• Correlation length of the two-dimensional Ising spin glass with bimodal interactions
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Kosterlitz-Thouless transition in planar spin models with bond dilution
• Quantum quenches in the thermodynamic limit. II. Initial ground states
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Numerically exact correlations and sampling in the two-dimensional Ising spin glass
• Excitations of the bimodal Ising spin glass on the brickwork lattice

Cited by in corpus (9)

• 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${}_7$
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Numerical linked-cluster expansions for two-dimensional spin models with continuous disorder distributions
• L-based numerical linked cluster expansion for square lattice models
• Linked cluster expansion on trees