Quantum Monte Carlo Loop Algorithm for the t-J Model

Abstract

We propose a generalization of the Quantum Monte Carlo loop algorithm to the t-J model by a mapping to three coupled six-vertex models. The autocorrelation times are reduced by orders of magnitude compared to the conventional local algorithms. The method is completely ergodic and can be formulated directly in continuous time. We introduce improved estimators for simulations with a local sign problem. Some first results of finite temperature simulations are presented for a t-J chain, a frustrated Heisenberg chain, and t-J ladder models.

22 pages, including 12 figures. RevTex v3.0, uses psf.tex

References in corpus (22)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Cluster Algorithm for Vertex Models
• Properties of lightly doped t-J two-leg ladders
• Hole and Pair Structures in the t-J model
• A Monte Carlo Study of Correlations in Quantum Spin Ladders
• Asymptotic scaling of the square lattice quantum Heisenberg antiferromagnet
• Phase diagram of depleted Heisenberg model for CaV4O9
• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• Susceptibility and Low Temperature Thermodynamics of Spin-1/2 Heisenberg Ladders
• Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Nearly critical ground state of LaCuO2.5
• Quantum simulations of the superfluid-insulator transition for two-dimensional, disordered, hard-core bosons
• Loop algorithms for quantum simulations of fermion models on lattices
• Generalization of the Fortuin-Kasteleyn transformation and its application to quantum spin simulations,
• Bosonization and Cluster Updating of Lattice Fermions
• Blockspin Cluster Algorithms for Quantum Spin Systems
• Blockspin Cluster Algorithms for Quantum Spin Systems
• Cluster Algorithms For Anisotropic Quantum Spin Models
• Low-Temperature Scaling Regime of Random Ferromagnetic-Antiferromagnetic Spin Chains
• Temperature dependent correlation length for the S=1/2 Quantum Heisenberg Antiferromagnet on the square lattice

Cited by in corpus (12)

• The Loop Algorithm
• Meron-Cluster Solution of Fermion Sign Problems
• Zero-variance principle for Monte Carlo algorithms
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Exchange interactions and magnetic properties of the layered vanadates CaV2O5, MgV2O5, CaV3O7 and CaV4O9
• Meron-Cluster Approach to Systems of Strongly Correlated Electrons
• Antiholons in one-dimensional t-J models
• Stripes, topological order, and deconfinement in a planar t-Jz model
• Symmetric improved estimators for multipoint vertex functions
• Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
• Thermodynamic and diamagnetic properties of weakly doped antiferromagnets
• Fermion Cluster Algorithms