Quantum Monte Carlo simulations of antiferromagnetism in ultracold fermions on optical lattices within real-space dynamical mean-field theory

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems As a first application we study magnetic order in a binary mixture of repulsively interacting fermionic atoms harmonically trapped in an optical lattice We explore temperature effects and establish signatures of the Neel transition in observables directly accessible in cold-atom experiments entropy estimates are also provided We demonstrate that the local density approximation (LDA) fails for ordered phases In contrast a slab approximation allows us to reach experimental system sizes with O(10(5)) atoms without significant loss of accuracy (C) 2010 Elsevier BV All rights reserved