Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit

@article{Mancini2013ExactSO,
  title={Exact solution of the 1D Hubbard model with NN and NNN interactions in the narrow-band limit},
  author={Ferdinando Mancini and Evgeny Plekhanov and Gerardo Sica},
  journal={The European Physical Journal B},
  year={2013},
  volume={86},
  pages={1-12}
}
We present the exact solution, obtained by means of the Transfer Matrix (TM) method, of the 1D Hubbard model with nearest-neighbor (NN) and next-nearest-neighbor (NNN) Coulomb interactions in the atomic limit (t = 0). The competition among the interactions (U, V1, and V2) generates a plethora of T = 0 phases in the whole range of fillings. U, V1, and V2 are the intensities of the local, NN and NNN interactions, respectively. We report the T = 0 phase diagram, in which the phases are classified… 

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References

SHOWING 1-10 OF 51 REFERENCES

One-dimensional extended Hubbard model in the atomic limit.

  • F. ManciniF. Mancini
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2008
TLDR
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.

Phase diagram of the one-dimensional half-filled extended Hubbard model.

We determine the ground-state phase diagram of the one-dimensional half-filled Hubbard model with on-site (nearest-neighbor) repulsive interaction U (V) and nearest-neighbor hopping t using the

The Hubbard model with intersite interaction within the Composite Operator Method

Abstract.We study the one- and two-dimensional extended Hubbard model by means of the Composite Operator Method within the 2-pole approximation. The fermionic propagator is computed fully

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

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

Phase diagram of the extended hubbard model with pair hopping interaction

Abstract:A one-dimensional model of interacting electrons with on-site U, nearest-neighbor V, and pair-hopping interaction W is studied at half-filling using the continuum limit field theory

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

TLDR
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).

The two-dimensional t-t'-U model as a minimal model for cuprate materials

Abstract:The addition to the Hubbard Hamiltonian of a t' diagonal hopping term, which is considered to be material dependent for high-Tc cuprate superconductors, is generally suggested to obtain a

Possible Ordered States in the 2D Extended Hubbard Model

Possible ordered states in the 2D extended Hubbard model with on-site ( U >0) and nearest-neighbor ( V ) interaction are examined near half filling, with emphasis on the effect of finite V . First,

On the phase diagram of the Extended Hubbard Model

The phase diagram of the Extended Hubbard Model in the atomic limit (zero band width) is investigated for arbitrary values of intra-site interactionI, inter-site repulsionW and chemical potential μ.
...