One-dimensional repulsive Hubbard model with mass imbalance: Orders and filling anomaly

Abstract

We investigate the phase diagram of the one-dimensional repulsive Hubbard model with mass imbalance. Using DMRG, we show that this model has a "triplet" paired phase (dubbed $\pi \mathrm{SG}$) at generic fillings, consistent with previous theoretical analysis. We study the topological aspect of $\pi \mathrm{SG}$ phase, determining long-range string orders and the filling anomaly which refers to the relation among the single particle gap, inversion symmetry, and filling imbalance for open chains. We also find, using DMRG, that at $1/3$ filling, commensurate effects lead to two additional phases: a crystal phase and a trion phase; we construct a description of these phases using Tomonaga-Luttinger liquid theory.

11 pages + 5 pages appendices, 14 figures

References in corpus (12)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• String order and symmetries in quantum spin lattices
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
• Spin-1/2 fermions on spin-dependent optical lattices
• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• Non-local order parameters for the 1D Hubbard model
• Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models
• Fractional Conductance in Strongly Interacting 1D Systems
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Stability and pairing in quasi-one-dimensional Bose-Fermi mixtures

Cited by in corpus (1)

• Superconductivity of repulsive spinless fermions with sublattice potentials