Meron-cluster algorithms and chiral symmetry breaking in a (2+1)-d staggered fermion model

Abstract

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 the Z(2) chiral symmetry of this model is spontaneously broken at low temperatures and that the finite-temperature chiral phase transition is in the universality class of the 2-d Ising model, as expected.

arXiv comment18 pages, LaTex

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Cited by in corpus (12)

• The Loop Algorithm
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Solution of the Complex Action Problem in the Potts Model for Dense QCD
• Fermionic Projected Entangled Pair States and Local U(1) Gauge Theories
• The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature
• Stochastic series expansion simulation of the $t$-$V$ model
• Meron-Cluster Approach to Systems of Strongly Correlated Electrons
• Kosterlitz-Thouless Universality in a Fermionic System
• Monte Carlo simulations of the NJL model near the nonzero temperature phase transition
• Cluster Percolation and Chiral Phase Transition
• Thermal Phase Transition in the NJL Model of QCD