Competing orders in the generalized Hund chain model at half-filling

Abstract

By using a combination of several non-perturbative techniques -- a one-dimensional field theoretical approach together with numerical simulations using density matrix renormalization group -- we present an extensive study of the phase diagram of the generalized Hund model at half-filling. This model encloses the physics of various strongly correlated one-dimensional systems, such as two-leg electronic ladders, ultracold degenerate fermionic gases carrying a large hyperfine spin 3/2, other cold gases like Ytterbium 171 or alkaline-earth condensates. A particular emphasis is laid on the possibility to enumerate and exhaust the eight possible Mott insulating phases by means of a duality approach. We exhibit a one-to-one correspondence between these phases and those of the two-leg Hubbard ladder with interchain hopping. Our results obtained from a weak coupling analysis are in remarkable quantitative agreement with our numerical results carried out at moderate coupling.

26 pages, 14 figures

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Cited by in corpus (22)

• Topological quantum matter with cold atoms
• Interacting topological phases and modular invariance
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice
• Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain
• Effective field theory for the SO(n) bilinear-biquadratic spin chain
• Phase diagram of one-dimensional earth-alkaline cold fermionic atoms
• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
• Quantum phases in $p$-orbital degenerated attractive 1D fermionic optical lattices
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• One-dimensional physics in transition-metal nanowires: Renormalization group and bosonization analysis
• Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Terminable Transitions in a Topological Fermionic Ladder
• Competing superconducting instabilities in the one-dimensional p-band degenerate cold fermionic system
• One-dimensional physics in transition-metal nanowires: Phases and elementary excitations
• Persistent Haldane Phase in Carbon Tetris Chains