# Charge Order of Strongly Bounded Electron Pairs on the Triangular Lattice: the Zero-Bandwidth Limit of the Extended Hubbard Model with Strong Onsite Attraction

@article{Kapcia2019ChargeOO, title={Charge Order of Strongly Bounded Electron Pairs on the Triangular Lattice: the Zero-Bandwidth Limit of the Extended Hubbard Model with Strong Onsite Attraction}, author={Konrad Jerzy Kapcia}, journal={Journal of Superconductivity and Novel Magnetism}, year={2019}, pages={1-7} }

The inhomogeneous distribution of charged particles is known as charge-order phenomena. Recent experimental studies of (quasi-) two-dimensional materials found different ordered patterns on the triangular lattice. In this work, the preliminary studies of the extended Hubbard model (with the intersite Coulomb density-density repulsion) in the atomic limit on the triangular lattice are presented. The model is investigated within the mean-field approach that treats the onsite term exactly. The…

## 2 Citations

### Charge-order on the triangular lattice: Effects of next-nearest-neighbor attraction in finite temperatures

- PhysicsJournal of Magnetism and Magnetic Materials
- 2022

### Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice S = 1/2 Fermionic Gas

- PhysicsNanomaterials
- 2021

The investigated hamiltonian has a form of the extended Hubbard model in the atomic limit (i.e., the zero-bandwidth limit) and the variational approach is used, which treats the onsite interaction term exactly and the intersite interactions within the mean-field approximation.

## References

SHOWING 1-10 OF 45 REFERENCES

### Diversity of charge orderings in correlated systems.

- PhysicsPhysical review. E
- 2017

This work studies the zero-bandwidth limit of the extended Hubbard model, which can be considered as a simple effective model of charge ordered insulators and derives the exact ground state diagrams for different lattice dimensionalities.

### The effects of the next-nearest-neighbour density–density interaction in the atomic limit of the extended Hubbard model

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2011

The investigation of the general case taking into account for the first time the effects of longer-ranged density-density interaction as well as possible phase separations shows that the Hubbard model can exhibit not only several homogeneous charge ordered (CO) phases, but also various phase separated states (CO-CO and CO-nonordered).

### Phase diagram of the triangular extended Hubbard model.

- Physics, Materials SciencePhysical review letters
- 2014

Variational Monte Carlo simulations show that three kinds of ordered metallic states are stable as a function of nearest neighbor interaction and filling and the coexistence of conductivity and order is explained by a separation into two functional classes of particles.

### Metastability and Phase Separation in a Simple Model of a Superconductor with Extremely Short Coherence Length

- Physics
- 2014

We present studies of the atomic limit of the extended Hubbard model with pair hopping for arbitrary electron density and arbitrary chemical potential. The Hamiltonian consists of (i) the effective…

### Charge orderings in the atomic limit of the extended Hubbard model

- Physics
- 2006

Abstract.
The extended Hubbard model in the atomic limit (AL-EHM) on a square lattice with periodic boundary conditions is studied with use of the Monte Carlo (MC) method. Within the grand canonical…

### Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion

- Physics
- 2018

We explore the possibility of a Berezinskii-Kosterlitz-Thouless-like critical phase for the charge degrees of freedom in the intermediate-temperature regime between the charge-ordered and disordered…

### One-dimensional extended Hubbard model in the atomic limit.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

This study evidences that a finite-range order persists for a wide range of the temperature, as shown by the behavior of the correlation functions and by the two-peak structure exhibited by the charge susceptibility and the entropy.