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

@article{Kapcia2011TheEO, title={The effects of the next-nearest-neighbour density–density interaction in the atomic limit of the extended Hubbard model}, author={Konrad Jerzy Kapcia and Stanisław Robaszkiewicz}, journal={Journal of Physics: Condensed Matter}, year={2011}, volume={23}, pages={105601} }

We have studied the extended Hubbard model in the atomic limit. The Hamiltonian analysed consists of the effective on-site interaction U and the intersite density–density interactions Wij (both nearest-neighbour and next-nearest-neighbour). The model can be considered as a simple effective model of charge ordered insulators. The phase diagrams and thermodynamic properties of this system have been determined within the variational approach, which treats the on-site interaction term exactly and…

## 20 Citations

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

- PhysicsJournal of Magnetism and Magnetic Materials
- 2022

### Phase separation in a lattice model of a superconductor with pair hopping

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2012

Investigation of the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential shows that, depending on the values of interaction parameters, the system can exhibit not only the homogeneous phases, superconducting and nonordered states, but also the phase separated states.

### The magnetic field induced phase separation in a model of a superconductor with local electron pairing

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2013

Investigation of the general case shows that the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential can exhibit not only the homogeneous phases-superconducting and non-ordered states but also the phase separated states (PS: SS-NO).

### Various Charge-Ordered States in the Extended Hubbard Model with On-Site Attraction in the Zero-Bandwidth Limit

- Physics
- 2017

The extended Hubbard model in the zero-bandwidth limit with intersite density–density interactions (nearest- and next-nearest-neighbor) is analyzed in the site-dependent mean-field approximation. In…

### Interplay and Competition Between Superconductivity and Charge Orderings in the Zero-Bandwidth Limit of the Extended Hubbard Model with Pair Hopping and on-Site Attraction

- Physics
- 2013

We present studies of an effective model which is a simple generalization of the standard model of a local pair superconductor with on-site pairing (i.e., the model of hard core bosons on a lattice)…

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

- PhysicsJournal of Superconductivity and Novel Magnetism
- 2019

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…

### Competition between antiferromagnetic and charge density wave fluctuations in the extended Hubbard model

- PhysicsPhysical Review B
- 2019

By extending our {\it victory} implementation of the parquet approach to include non-local Coulomb interactions, we study the extended Hubbard model on the two-dimensional square lattice with a…

### 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.

## References

SHOWING 1-10 OF 71 REFERENCES

### Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice

- Physics
- 2010

AbstractWe present the exact solution of a system of Fermi particles
living on the sites of a Bethe lattice with coordination number
z and interacting through on-site U and nearest-neighbor V…

### 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.

### Extended Hubbard model in the presence of a magnetic field

- Physics
- 2009

Within the Green’s function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact…

### Thermodynamic properties of the extended Hubbard model with strong intra-atomic attraction and an arbitrary electron density

- Physics
- 1981

We have used a canonical transformation to derive an effective extended Hubbard Hamiltonian with intra-atomic repulsion and Ising-type interatomic exchange interaction in an effective external…

### 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…

### Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest- and next-nearest-neighbor hopping

- Materials Science, Physics
- 2010

We consider the ground-state magnetic phase diagram of the two-dimensional Hubbard model with nearest- and next-nearest-neighbor hopping in terms of electronic density and interaction strength. We…

### Phase diagram of the extended Hubbard model at weak coupling.

- PhysicsPhysical review. B, Condensed matter
- 1996

The Hubbard model including nearest neighbor interaction is studied at T50 on a d-dimensional hypercubic lattice (d@1) close to half filling and it is shown that both the doping level below which phase separation occurs and the order parameter differ from the corresponding Hartree results.

### Charge ordering and phase separation in the infinite dimensional extended Hubbard model

- Physics
- 2004

We study the extended Hubbard model with both on-site (U) and nearest neighbor (V) Coulomb repulsion using the exact diagonalization method within the dynamical mean field theory. For a fixed U…

### Phase diagram of the quarter-filled extended Hubbard model on a two-leg ladder

- Physics
- 2001

We investigate the ground-state phase diagram of the quarter-filled Hubbard ladder with nearest-neighbor Coulomb repulsion V using the Density Matrix Renormalization Group technique. The ground-state…