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Continuous Mott transition in a two-dimensional Hubbard model

Yuki Yanagi, +1 more
- 11 Aug 2014 - 
- Vol. 90, Iss: 8, pp 085113
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TLDR
In this article, a nonmagnetic metal-insulator transition in the 1/5-depleted square lattice Hubbard model at half filling within the eight-site cellular dynamical mean field theory was investigated.
Abstract
We investigate a nonmagnetic metal-insulator transition in the 1/5-depleted square lattice Hubbard model at half filling within the eight-site cellular dynamical mean field theory. We find that a metal-insulator transition without any signatures of a first-order transition, a continuous Mott transition, takes place in a certain range of parameters. The nature of the continuous Mott transition is merely a Lifshitz transition driven by the on-site Coulomb interaction. The renormalized matrix elements of hoppings and the spin-spin correlation functions reveal that the physics of this transition is a strong enhancement of the dimerization due to the nonlocal effects of the electron-electron interaction.

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Single-orbital realization of high-temperature s± superconductivity in the square-octagon lattice

TL;DR: In this article, the authors proposed octagraphene, a monolayer of carbon atoms arranged into a square octagon lattice, as a possible material realization of the single-orbital Hubbard model.
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Multiple insulating states due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model

TL;DR: In this article, the authors report 10 ground states arising from strong correlations in the single-orbital Hubbard model on the decorated honeycomb lattice, including Dirac metals, flat-band ferromagnets, real-space Mott insulators, dimer and trimer Mottinsulators, and spin-1 Mott Insulators.

Non-Linear Canonical Methods in Strongly Correlated Electron Systems

TL;DR: In this paper, the use of non-linear canonical transformations for the analysis of Strongly Correlated Electronic Systems (SCES) is considered thoroughly, and some new ideas to perform the analysis and analysis of SCES are developed.
Journal ArticleDOI

Ground states and dynamical properties of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> quantum Heisenberg model on the 1/5-depleted square lattice

- 01 Aug 2022 - 
TL;DR: In this article , the authors studied the antiferromagnetic Heisenberg model on the 1/5-depleted square lattice as a function of the ratio of the intra-plaquette coupling to the interplaquettes coupling, and numerically identified three quantum phases, including the dimer phase, N´eel phase and plaquette valence bond solid phase.
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