SPIN CHAIN SIMULATIONS WITH A MERON CLUSTER ALGORITHM

Spin chain simulations with a meron cluster algorithm

We apply a meron cluster algorithm to the XY spin chain, which describes a quantum rotor. This is a multi-cluster simulation supplemented by an improved estimator, which deals with objects of half-integer topological charge. This method is powerful enough to provide precise results for the model with a θ-term — it is therefore one of the rare examples, where a system with a complex action can b...

Critical Behavior of a Chiral Condensate with a Meron Cluster Algorithm

A new meron cluster algorithm is constructed to study the finite temperature critical behavior of the chiral condensate in a (3+1) dimensional model of interacting staggered fermions. Using finite size scaling analysis the infinite volume condensate is shown to be consistent with the behavior of the form (Tc − T ) 0.314(7) for temperatures less than the critical temperature and m at the critica...

Meron-Cluster Approach to Systems of Strongly Correlated Electrons

Numerical simulations of strongly correlated electron systems suffer from the notorious fermion sign problem which has prevented progress in understanding if systems like the Hubbard model display high-temperature superconductivity. Here we show how the fermion sign problem can be solved completely with meron-cluster methods in a large class of models of strongly correlated electron systems, so...

Parallel algorithm for spin and spin-lattice dynamics simulations.

To control numerical errors accumulated over tens of millions of time steps during the integration of a set of highly coupled equations of motion is not a trivial task. In this paper, we propose a parallel algorithm for spin dynamics and the newly developed spin-lattice dynamics simulation [P. W. Ma, Phys. Rev. B 78, 024434 (2008)]. The algorithm is successfully tested in both types of dynamic ...

Hybrid multicanonical cluster algorithm for efficient simulations of long-range spin models