Artificial $SU(3)$ Spin-Orbit Coupling and Exotic Mott Insulators

Abstract

Motivated by recent progress in the realization of artificial gauge fields and $SU(N)$ Mott insulators using alkaline-earth-like atoms in optical lattices, we develop an unbiased $SU(N)$ real-space dynamical mean-field theory (DMFT) approach to study the effect of spin-orbit coupling and onsite Hubbard interaction $U$ on $SU(3)$ fermionic systems. We investigate the behavior of the local magnetization, double occupancies, and the triple occupancy versus the Hubbard interaction across the metal to Mott insulator transition. We map out the magnetic phase diagram in the large-$U$ limit and show that the spin-orbit coupling can stabilize long-range orders such as ferromagnet, spiral, and stripes with different orientations in $SU(3)$ Mott insulators.

arXiv comment9 pages, 4 figures

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Cited by in corpus (21)

• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Interaction-driven topological phase transitions in fermionic SU($3$) systems
• Computing observables without eigenstates: applications to Bloch Hamiltonians
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Competing Charge and Magnetic Order in Fermionic Multi-Component Systems
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Double-Exchange Enhanced Magnetic Blue-Shift of Mott Gaps
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Simplified approach to the magnetic blue shift of Mott gaps
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Partial suppression of magnetism in the square lattice SU(3) Hubbard model
• Antiferromagnetic topological insulators in heavy-fermion systems
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• High-Temperature Quantum Anomalous Hall Effect in Buckled Honeycomb Antiferromagnets