Spinless fermions and charged stripes at the strong-coupling limit

Abstract

Spinless fermions on a lattice with nearest-neighbor repulsion serve as a toy version Hubbard model, and have a symmetry-broken even/odd superlattice at half-filling. At infinite repulsion, doped holes form charged stripes which are antiphase walls (as noted by Mila in 1994). Exact-diagonalization data for systems up to 36 sites around 1/4 filling, and also for one or two holes added to a stripe of length up to 12, indicate stability of the stripe-array state against phase separation. In the {\it boson} version of the model, the same behavior can be stabilized by addition of a four-fermi term.

5 pages. Massive revisions and added coauthor to replace simple analytic arguments by numerical results

Cited by in corpus (20)

• Analytical and numerical study of hardcore bosons in two dimensions
• Quasi-1D dynamics and nematic phases in the 2D Emery model
• Stripes and holes in a two-dimensional model of spinless fermions and hardcore bosons
• Exact ground states of a staggered supersymmetric model for lattice fermions
• Correlation density matrix: an unbiased analysis of exact diagonalizations
• Ground State Degeneracy of Interacting Spinless Fermions
• Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions
• High-Temperature Criticality in Strongly Constrained Quantum Systems
• Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons
• Order and supersymmetry at high filling zero energy states on the triangular lattice
• Interacting spinless fermions on the square lattice: Charge order, phase separation, and superconductivity
• On the nature of striped phases: Striped phases as a stage of "melting" of 2D crystals
• Spectroscopy of two-dimensional interacting lattice electrons using symmetry-aware neural backflow transformations
• Many-Body Density Matrices On a Two-Dimensional Square Lattice: Noninteracting and Strongly Interacting Spinless Fermions
• Charge-stripe phases versus a weak anisotropy of nearest-neighbor hopping
• Influence of anisotropic next-nearest-neighbor hopping on diagonal charge-striped phases
• Supersymmetry on the honeycomb lattice: resonating charge stripes, superfrustration, and domain walls
• Geometric frustration and magnetization plateaus in quantum spin and Bose-Hubbard models on tubes
• Hole on a stripe in a spinless fermion model
• Ground state of one-dimensional fermion-phonon systems