Delay Update in determinant quantum Monte Carlo

Abstract

Determinant quantum Monte Carlo (DQMC) is a widely used unbiased numerical method for simulating strongly correlated electron systems. However, the update process in DQMC is often a bottleneck for its efficiency. To address this issue, we propose a generalized delay update scheme that can handle both onsite and extended interactions. Our delay update scheme can be implemented in both zero-temperature and finite-temperature versions of DQMC. We apply the delay update scheme to various strongly correlated electron models and evaluate its efficiency under different conditions. Our results demonstrate that the proposed delay update scheme significantly improves the efficiency of DQMC simulations, enable it to simulate larger system size.

12 pages, 7 figures

References in corpus (32)

• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• The Puzzle of High Temperature Superconductivity in Layered Iron Pnictides and Chalcogenides
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• The Hubbard Model
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Quantum Hall Physics - hierarchies and CFT techniques
• Correlation effects in two-dimensional topological insulators
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Solving fermion sign problem in quantum Monte Carlo by Majorana representation
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm
• Monte Carlo Studies of Quantum Critical Metals
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
• A simple fermionic model of deconfined phases and phase transitions
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Competing nodal d-wave superconductivity and antiferromagnetism

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• Residual entropy from temperature incremental Monte Carlo method
• Addressing general measurements in quantum Monte Carlo
• Accelerating ground-state auxiliary-field quantum Monte Carlo simulations by delayed update and block force-bias update
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes
• Spin-triplet pairing instability in a two-dimensional repulsive Hubbard model