Competing orders in the generalized Hund chain model at half-filling
arXiv:1006.3884 · doi:10.1103/PhysRevB.82.155134
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
References in corpus (19)
- "Deconfined" quantum critical points
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Degenerate Fermi Gases of Ytterbium
- Rise and fall of hidden string order of lattice bosons
- Competing orders in one dimensional spin 3/2 fermionic systems
- Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
- Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
- Current Carrying Ground State in a Bi-layer Model
- Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
- Orbital currents and charge density waves in a generalized Hubbard ladder
- Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
- Interaction induced dimerization in zigzag single wall carbon nanotubes
- Low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction: Density-matrix renormalization-group calculations and perturbation theory
- Phase diagram of the three band half-filled Cu-O two-leg ladder
- Phase diagrams of the metallic zigzag carbon nanotube
- Exact duality relations in correlated electron systems
- Generic short-range interactions in two-leg ladders