Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models

Abstract

Numerical linked-cluster expansions allow one to calculate finite-temperature properties of quantum lattice models directly in the thermodynamic limit through exact solutions of small clusters. However, full diagonalization is often the limiting factor for these calculations. Here, we show that a partial diagonalization of the largest clusters in the expansion using the Lanczos algorithm can be as useful as full diagonalization for the method while mitigating some of the time and memory issues. As a test case, we consider a frustrated Heisenberg model on the checkerboard lattice and find that our approach can lead to much more efficient calculations in a parallel environment.

arXiv comment6 pages, 6 figures

References in corpus (24)

• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Early breakdown of area-law entanglement at many-body delocalization transition
• Quantum Quenches in the Thermodynamic Limit
• A Short Introduction to Numerical Linked-Cluster Expansions
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• Entanglement at a Two-Dimensional Quantum Critical Point: a Numerical Linked Cluster Expansion Study
• Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
• Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions
• Corner contribution to the entanglement entropy of strongly-interacting O(2) quantum critical systems in 2+1 dimensions
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Linked cluster expansions for open quantum systems on a lattice
• Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit
• Quantum quenches and many-body localization in the thermodynamic limit
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Three-dimensional Hubbard model in the thermodynamic limit
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Numerical study of the thermodynamics of clinoatacamite
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Quantum dynamics from a numerical linked cluster expansion

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• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
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• Enhanced Convergence of Quantum Typicality using a Randomized Low-Rank Approximation
• Site-resolved observables in the doped spin-imbalanced triangular Hubbard model