The large expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
arXiv:2412.13657 · doi:10.1088/1751-8121/add975
Abstract
We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing the infrared properties of the system in the limit of strong on-site repulsion. The expansion is performed up to the third order in the hopping amplitude over on-site interaction energy. It is shown that the low-energy spin excitations are described by an anisotropic Heisenberg model with Dzyaloshinskii-Moriya interaction and an unconventional three-spin (correlated exchange) term in the presence of an extended magnetic field. The latter couples not only to -projection of the total spin on a triangular plaquette but also to the product of -components of three spins located on vertices of the triangle. In the case of strong attractive interaction, the corresponding effective model is derived from the repulsive one using the one-spin-component particle-hole transformation. The effective Hamiltonian is given by the same Heisenberg model, as in the repulsive case, but in terms of pseudospin (charge) operators.
References in corpus (43)
- Anyons in an exactly solved model and beyond
- Artificial gauge potentials for neutral atoms
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- An RVB phase in the triangular lattice quantum dimer model
- Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
- Synthetic gauge fields in synthetic dimensions
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Fractionalization in an Easy-axis Kagome Antiferromagnet
- Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
- Ultracold quantum gases in triangular optical lattices
- Electronic Orbital Currents and Polarization in Mott Insulators
- Meissner effect in a bosonic ladder
- Artificial graphene with tunable interactions
- Quantum simulation of a system with competing two- and three-body interactions
- Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
- Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
- Large- limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
- Effective gauge field theory of spintronics
- Laughlin-like states in bosonic and fermionic atomic synthetic ladders
- Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
- Semi-synthetic zigzag optical lattice for ultracold bosons
- Spinless Fermionic ladders in a magnetic field: Phase Diagram
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Artificial gauge fields with ultracold atoms
- Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
- Optically-Controlled Orbitronics on a Triangular Lattice
- Properties of the chiral spin liquid state in generalized spin ladders
- Fractional charge excitations in fermionic ladders
- Bose-Hubbard triangular ladder in an artificial gauge field
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
- Field Induced Orbital Antiferromagnetism in Mott Insulators
- Coupled Atomic Wires in a Synthetic Magnetic Field
- First-order photon condensation in magnetic cavities: A two-leg ladder model
- Topological phases in odd-legs frustrated synthetic ladders
- Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
- Topological chiral currents in the Gross-Neveu model extension
- Spectrum, Lifshitz transitions and orbital currents in frustrated fermionic ladders with a uniform flux
- Quantum criticality on a chiral ladder: an iDMRG study
- Effective Hamiltonian for a Half-filled Asymmetric Ionic Hubbard Chain with Alternating On-site Interaction
- Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders