Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis

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 1/2 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.

4 pages 5 figures, published version

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The numerical renormalization group method for quantum impurity systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Phase diagram of a two-component Fermi gas with resonant interactions
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
• Probing $n$-Spin Correlations in Optical Lattices

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• Probing spatial spin correlations of ultracold gases by quantum noise spectroscopy
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• Exotic superfluid states of lattice fermions in elongated traps
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
• Advantages of Mass-Imbalanced Ultracold Fermionic Mixtures for Approaching Quantum Magnetism in Optical Lattices
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• Localization of correlated fermions in optical lattices with speckle disorder
• Superfluid state in the periodic Anderson model with attractive interactions
• Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices
• Smart local orbitals for efficient calculations within density functional theory and beyond
• Quantum Monte Carlo simulations of antiferromagnetism in ultracold fermions on optical lattices within real-space dynamical mean-field theory
• Antiferromagnetic Chern insulator in centrosymmetric systems
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Double-Exchange Enhanced Magnetic Blue-Shift of Mott Gaps
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• Valence Fluctuations in the Extended Anderson Lattice Model with Quasiperiodicity
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
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• Dynamical arrest of ultracold lattice fermions
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Screening of a single impurity and Friedel oscillations in Fermi liquids
• Doped Mott insulator on Penrose tiling
• Resonance Effects in Correlated Multilayer Heterostructures
• Stability of destructive interference antiresonances in electron transport through graphene nanostructures
• Spin Andreev-like reflection in metal-Mott insulator heterostructures
• Simplified approach to the magnetic blue shift of Mott gaps
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
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• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Anisotropy-driven magnetic phase transitions in SU(4)-symmetric Fermi gas in three-dimensional optical lattices
• Time-of-flight imaging method to observe signatures of antiferromagnetically ordered states of fermionic atoms in an optical lattice
• Antiferromagnetic topological insulators in heavy-fermion systems
• Mott transition and magnetism in a fragile topological insulator
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice
• High-Temperature Quantum Anomalous Hall Effect in Buckled Honeycomb Antiferromagnets
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model
• Tunable nanomagnetism in moderately cold fermions on optical lattices
• Paramagnetic phases of strongly correlated ultracold fermions coupled to an optical cavity
• Phase Diagram and Spectral Function of the Two-Dimensional Disordered Bose-Hubbard Model: A Real-Space Dynamical Mean-Field Theory Analysis
• Invisible flat bands on a topological chiral edge