Fermion cluster algorithms

Fermion Cluster Algorithms

Cluster algorithms have been recently used to eliminate sign problems that plague Monte-Carlo methods in a variety of systems. In particular such algorithms can also be used to solve sign problems associated with the permutation of fermion world lines. This solution leads to the possibility of designing fermion cluster algorithms in certain cases. Using the example of free non-relativistic ferm...

Meron-cluster Algorithms and Chiral Symmetry Breaking in a (2 + 1)-d Staggered Fermion Model *

The recently developed Meron-Cluster algorithm completely solves the exponentially difficult sign problem for a number of models previously inaccessible to numerical simulation. We use this algorithm in a high-precision study of a model of N = 1 flavor of staggered fermions in (2+1)-dimensions with a four-fermion interaction. This model cannot be explored using standard algorithms. We find that...

Multi - bosonic algorithms for dynamical fermion simulations ∗

A Chiral Phase Transition using a Fermion Cluster Algorithm

The recent solution to the fermion sign problem allows, for the first time, the use of cluster algorithm techniques to compute certain fermionic path integrals. To illustrate the underlying ideas behind the progress, a cluster algorithm is constructed to study the chiral phase transition in a strongly interacting staggered fermion model with an arbitrary mass term in 3 + 1 dimensions. Unlike co...

Dual fermion dynamical cluster approach for strongly correlated systems

S.-X. Yang,1 H. Fotso,1 H. Hafermann,2 K.-M. Tam,1 J. Moreno,1 T. Pruschke,3 and M. Jarrell1 1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA 2Centre de Physique Théorique, École Polytechnique, CNRS, FR-91128 Palaiseau Cedex, France 3Department of Physics, University of Göttingen, GE-37077 Göttingen, Germany (Received 10 May 2011; revised manus...