Efficient continuous-time quantum Monte Carlo algorithm for fermionic lattice models

Abstract

Efficient continuous time quantum Monte Carlo (CT-QMC) algorithms that do not suffer from time discretization errors have become the state-of-the-art for most discrete quantum models. They have not been widely used yet for fermionic quantum lattice models, such as the Hubbard model, due to a suboptimal scaling of $O({\beta }^3)$ with inverse temperature $\beta$, compared to the linear scaling of discrete time algorithms. Here we present a CT-QMC algorithms for fermionic lattice models that matches the scaling of discrete-time methods but is more efficient and free of time discretization errors. This provides an efficient simulation scheme that is free from the systematic errors opening an avenue to more precise studies of large systems at low temperatures.

6 pages, 3 figures

References in corpus (5)

• Continuous-time Monte Carlo methods for quantum impurity models
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Sub-matrix updates for the Continuous-Time Auxiliary Field algorithm

Cited by in corpus (3)

• Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
• Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model