Influence of anisotropic next-nearest-neighbor hopping on diagonal charge-striped phases

Abstract

We consider the model of strongly-correlated system of electrons described by an extended Falicov-Kimball Hamiltonian where the stability of some axial and diagonal striped phases was proved. Introducing a next-nearest-neighbor hopping, small enough not to destroy the striped structure, we examine rigorously how the presence of the next-nearest-neighbor hopping anisotropy reduces the $\pi /2$-rotation degeneracy of the diagonal-striped phase. The effect appears to be similar to that in the case of anisotropy of the nearest-neighbor hopping: the stripes are oriented in the direction of the weaker next-nearest-neighbor hopping.

9 pages, 3 figures, 1 table

References in corpus (5)

• Charge stripes due to electron correlations in the two-dimensional spinless Falicov-Kimball model
• Formation of charge-stripe phases in a system of spinless fermions or hardcore bosons
• From phase separation to long-range order in a system of interacting electrons
• Charge-stripe phases versus a weak anisotropy of nearest-neighbor hopping
• Phase diagram of the two-dimensional t-t' Falicov-Kimball model

Cited by in corpus (3)

• Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling
• On the nature of striped phases: Striped phases as a stage of "melting" of 2D crystals
• Stability and properties of striped phases in systems of interacting fermions or hard-core bosons