Magnetic and charge orders on the triangular lattice: Extended Hubbard model with intersite Ising-like magnetic interactions in the atomic limit

Abstract

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular lattice. In the ground state, we find the exact phase diagram as a function of $\mu$. Within the mean-field decoupling of the intersite term and exact treatment of onsite interaction, we found also the diagrams for $T\ge 0$ including metastable phases. For antiferromagnetic coupling, we find that nontrival ordered phase can exist with coexistence of charge and metamagnetic ordering. The transition between the ordered phase and the nonordered phase can be discontinuous as well continuous depending on the model parameters. Moreover, the ordered phase can coexist with the nonordered phase in phase separated states for fixed electron concentration. Additionally, the ranges of phases metastability are determined in the neighborhood of the discontinuous transitions.

7 pages, 4 figures (13 panels)

References in corpus (6)

• Non-standard Hubbard models in optical lattices: a review
• Metastability and phase separation in a simple model of a superconductor with extremely short coherence length
• Diversity of charge orderings in correlated systems
• Monte Carlo study of phase separation in magnetic insulators
• Some exact results for the zero-bandwidth extended Hubbard model with intersite charge and magnetic interactions
• Charge-order on the triangular lattice: Effects of next-nearest-neighbor attraction in finite temperatures

Cited by in corpus (2)

• Extended Hubbard model describing small multi-dot arrays in bilayer graphene
• Localized fermions on the triangular lattice with Ising-like interactions