Ground State Phase Diagram of $\text{SU}(3)$ $t$-$J$ Chain

Abstract

Distinct from the $\text{SU}(2)$ case, the fermionic systems with $\text{SU}(N)$ symmetry are expected to exhibit novel physics, such as exotic singlet formation. Using the density matrix renormalization group technique, we obtain the ground state phase diagram of the $\text{SU}(3)$ $t$-$J$ chain for density $n<1$. The ground state phase diagram includes the Luttinger liquid, the extended Luther-Emery liquid characterized by a spin gap, and the phase separation state. We quantitatively assess the characteristics of the three phases by measuring spin gap, compressibility, various correlation functions and structure factors. We further study the extended Luther-Emery liquid phase and discover molecular superfluid quasi-long-range order. The mechanism of the molecular superfluid is the combination of three $\text{SU}(3)$ fermions on sites that are not completely connected. Accordingly, we can speculate the behavior of the $\text{SU}(N)$ $t$-$J$ chain model with larger $N$ values, operating within the same filling regime.

arXiv comment8 pages, 8 figures

References in corpus (28)

• Bosonization and Strongly Correlated Systems
• The ITensor Software Library for Tensor Network Calculations
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Phase diagram of a 1 dimensional spin-orbital model
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Tomonaga-Luttinger parameters for doped Mott insulators
• Possible Exotic Phases in the One-Dimensional Extended Hubbard Model
• Simplex solid states of SU(N) quantum antiferromagnets
• Ground-State Phase Diagram of the 1D t-J model
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Interaction Control of Ultracold Alkaline-Earth Atoms
• DMRG simulations of SU(N) Heisenberg chains using standard Young tableaux: fundamental representation and comparison with finite-size Bethe ansatz
• Exact diagonalization of Heisenberg $SU(N)$ chains in the fully symmetric and antisymmetric representations
• The Luther-Emery liquid: Spin gap and anomalous flux period
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Exact diagonalization of $\mathrm{SU}(N)$ Heisenberg and AKLT chains using the full $\mathrm{SU}(N)$ symmetry
• Probe for bound states of SU(3) fermions and colour deconfinement
• Haldane Gap of the Three-Box Symmetric $\mathrm{SU}(3)$ Chain
• Numerical renormalization group study of the 1D t-J model
• "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
• Flux period, spin gap, and pairing in the one-dimensional t-J-J'-model
• Gutzwiller approximation approach to the SU(4) $t$-$J$ model