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

Abstract

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 Néel 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.

4 pages, 4 figures; proceedings of the Conference on Computational Physics 2009

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
• Ground state of the frustrated Hubbard model within DMFT: energetics of Mott insulator and metal from ePT and QMC

Cited by in corpus (4)

• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Superfluid state in the periodic Anderson model with attractive interactions
• Resonance Effects in Correlated Multilayer Heterostructures
• Tunable nanomagnetism in moderately cold fermions on optical lattices