Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model

Abstract

We calculate the restricted phase diagram for the Falicov-Kimball model on a two-dimensional square lattice. We consider the limit where the conduction electron density is equal to the localized electron density, which is the limit related to the S_z=0 states of the Hubbard model. After considering over 20,000 different candidate phases (with a unit cell of 16 sites or less) and their thermodynamic mixtures, we find only about 100 stable phases in the ground-state phase diagram. We analyze these phases to describe where stripe phases occur and relate these discoveries to the physics behind stripe formation in the Hubbard model.

(34 pages, 9 figures, submitted to Journal of Statistical Physics to celebrate Elliott Lieb's 70th birthday)

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Cited by in corpus (19)

• Thermodynamics of the two-dimensional Falicov-Kimball model: a classical Monte Carlo study
• Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with $f$-$f$ hopping
• Model of charge and magnetic order formation in itinerant electron systems
• Pattern formation in mixtures of ultracold atoms in optical lattices
• Interpretable and unsupervised phase classification
• Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling
• Anomalous phase separation dynamics in a correlated electron system: machine-learning enabled large-scale kinetic Monte Carlo simulations
• Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons
• Thermodynamic studies of the two dimensional Falicov-Kimball model on a triangular lattice
• Momentum distribution and ordering in mixtures of ultracold light and heavy fermionic atoms
• Charge Order in the Falicov-Kimball Model
• Gapless regime in the charge density wave phase of the finite dimensional Falicov-Kimball model
• Electronic transport through correlated electron systems with nonhomogeneous charge orderings
• Exciton condensation in an extended spinless Falicov Kimball model in the presence of orbital magnetic fields
• Phase transitions in the spinless Falicov-Kimball model with correlated hopping
• Charge-stripe phases versus a weak anisotropy of nearest-neighbor hopping
• Unsupervised Machine Learning Phase Classification for Falicov-Kimball Model
• Influence of anisotropic next-nearest-neighbor hopping on diagonal charge-striped phases
• Stability and properties of striped phases in systems of interacting fermions or hard-core bosons