# Effects of Long-Range Correlations on Nonmagnetic Mott Transitions in Hubbard model on Square Lattice

@article{Miyagawa2011EffectsOL, title={Effects of Long-Range Correlations on Nonmagnetic Mott Transitions in Hubbard model on Square Lattice}, author={T. Miyagawa and Hisatoshi Yokoyama}, journal={arXiv: Strongly Correlated Electrons}, year={2011} }

The mechanism of Mott transition in the Hubbard model on the square lattice is studied without explicit introduction of magnetic and superconducting correlations, using a variational Monte Carlo method. In the trial wave functions, we consider various types of binding factors between a doubly-occupied site (doublon, D) and an empty site (holon, H), like a long-range type as well as a conventional nearest-neighbor type, and add independent long-range D-D (H-H) factors. It is found that a wide…

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## References

SHOWING 1-10 OF 51 REFERENCES

Effect of Doublon-Holon Binding on Mott Transition—Variational Monte Carlo Study of Two-Dimensional Bose Hubbard Models

- Physics
- 2011

To understand the mechanism of Mott transitions in the case of no magnetic influence, superfluid–insulator (Mott) transitions in the S = 0 Bose Hubbard model at unit filling are studied on square and…

Superconductivity and a Mott Transition in a Hubbard Model on an Anisotropic Triangular Lattice

- Physics
- 2006

A half-filled-band Hubbard model on an anisotropic triangular lattice ( t in two bond directions and t ' in the other) is studied using an optimization variational Monte Carlo method, to consider a…

Mott Transitions and d-Wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration(Condensed matter: electronic structure and electrical, magnetic, and optical properties)

- Physics
- 2006

Mechanisms of Mott transitions and d x 2 - y 2 -wave superconductivity (SC) are studied in the half-filled-band Hubbard model on square lattices with a diagonal hopping term ( t '), using an…

Monte Carlo study of the two-dimensional Bose-Hubbard model

- Physics
- 2008

One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark…

Variational Monte Carlo Studies of Attractive Hubbard Model. I Normal-State Properties

- Physics
- 2002

Normal states of the attractive Hubbard model, mainly in two dimensions, are studied in the context of a transition froma Ferm i liquid to an insulating or gapped state. A series of variational Monte…

Crossover of superconducting properties and kinetic-energy gain in two-dimensional Hubbard model

- Physics
- 2004

Superconductivity in the Hubbard model on a square lattice near half filling is studied using an optimization (or correlated) variational Monte Carlo method. Second-order processes of a…

Variational description of Mott insulators.

- Physics, MedicinePhysical review letters
- 2005

The Gutzwiller wave function for a strongly correlated model can, if supplemented with a long-range Jastrow factor, provide a proper variational description of Mott insulators, so far unavailable. We…

GENERALIZED GUTZWILLER ANSATZ FOR THE HALF-FILLED HUBBARD CHAIN

- Physics
- 1988

The well-known Gutzwiller wave function is generalized by including new variational parameters to control nearest-neighbour charge-charge, charge-spin, and spin-spin correlations. The non-magnetic…

Variational Monte-Carlo Studies of Hubbard Model. III. Intersite Correlation Effects

- Physics
- 1990

New variational wave functions are introduced to describe the Hubbard model in strong correlation. Intersite correlation (or Jastrow) factors are taken into account beyond the Gutzwiller wave…

Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model

- Physics
- 2007

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with…