Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions

Abstract

We present the ground state extension of the efficient quantum Monte Carlo algorithm for lattice fermions of arXiv:1411.0683. Based on continuous-time expansion of imaginary-time projection operator, the algorithm is free of systematic error and scales \emph{linearly} with projection time and interaction strength. Compared to the conventional quantum Monte Carlo methods for lattice fermions, this approach has greater flexibility and is easier to combine with powerful machinery such as histogram reweighting and extended ensemble simulation techniques. We discuss the implementation of the continuous-time projection in detail using the spinless $t-V$ model as an example and compare the numerical results with exact diagonalization, density-matrix-renormalization-group and infinite projected entangled-pair states calculations. Finally we use the method to study the fermionic quantum critical point of spinless fermions on a honeycomb lattice and confirm previous results concerning its critical exponents.

12 pages, 1 table and 6 figures

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Cited by in corpus (5)

• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Fermion bag approach to Hamiltonian lattice field theories in continuous time
• Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice
• Phase diagram of interacting spinless fermions on the honeycomb lattice
• Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model