Antiferromagnetic order of strongly interacting fermions in a trap: real-space dynamical mean-field analysis

2008/02/29 by M. Snoek, Irakli Titvinidze, I. Titvinidze +6 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1088/1367-2630/10/9/093008

published as New J. Phys. 10 (2008) 093008 · 4 pages 5 figures, published version

openalex publication_date 2008/09/10 · arxiv created 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We apply dynamical mean-field theory to strongly interacting fermions in an inhomogeneous environment. With the help of this real-space dynamical mean-field theory (R-DMFT) we investigate antiferromagnetic states of repulsively interacting fermions with spin- in a harmonic potential. Within R-DMFT, antiferromagnetic order is found to be stable in spatial regions with total particle density close to one, but persists also in parts of the system where the local density significantly deviates from half filling. In systems with spin imbalance, we find that antiferromagnetism is gradually suppressed and phase separation emerges beyond a critical value of the spin imbalance.

Citations

• The numerical renormalization group method for quantum impurity systems
• The renormalization group: Critical phenomena and the Kondo problem
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

Cited by

• Competition between Anderson Localization and Antiferromagnetism in Correlated Lattice Fermion Systems with Disorder
• Supersolid phase of cold fermionic polar molecules in two-dimensional optical lattices