# Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice

@article{OliveiraLima2019DynamicalRT, title={Dynamical resilience to disorder: The dilute Hubbard model on the Lieb lattice}, author={L. Oliveira-Lima and Natanael C. Costa and Jos{\'e} Pimentel de Lima and Richard T. Scalettar and R. R. dos Santos}, journal={Physical Review B}, year={2019} }

In itinerant systems, electron-electron interactions may lead to the formation of local magnetic moments and their effective exchange coupling, which in turn gives rise to long-range magnetic order. Therefore, when moment formation is weakened, such as in the single-band Hubbard model on a square lattice with the on-site repulsion being randomly switched off on a fraction $x$ of sites, magnetic order is suppressed beyond some critical $x_c$, which was found to lie below the classical…

## 4 Citations

### Magnetic impurities in a charge-ordered background

- Physics
- 2022

We investigate how magnetic impurities may affect a system exhibiting charge-density wave (CDW) in its ground state. We consider a disordered Hubbard-Holstein model with a homogeneous electron-phonon…

### Ag2S monolayer: an ultrasoft inorganic Lieb lattice.

- PhysicsNanoscale
- 2021

A silver sulfide (Ag2S) monolayer is reported as a long-sought-after inorganic electronic Lieb lattice, found to be ultrasoft, which enables its electronic properties and topological states near the Fermi level to be finely tuned, as evidenced by the strain-induced topologically non-trivial edge states close to the valence band edge.

### Snakes on Lieb lattice

- MathematicsJournal of Nonlinear Science
- 2022

We consider the discrete Allen–Cahn equation with cubic and quintic nonlinearity on the Lieb lattice. We study localized nonlinear solutions of the system that have linear multistability and…

### Snakes on Lieb lattice

- MathematicsJ. Nonlinear Sci.
- 2022

We consider the discrete Allen–Cahn equation with cubic and quintic nonlinearity on the Lieb lattice. We study localized nonlinear solutions of the system that have linear multistability and…

## References

SHOWING 1-10 OF 73 REFERENCES

### Temperature and doping induced instabilities of the repulsive Hubbard model on the Lieb lattice

- Physics
- 2017

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard…

### Determinant quantum Monte Carlo study of exhaustion in the periodic Anderson model

- PhysicsPhysical Review B
- 2019

The Kondo and Periodic Anderson models describe many of the qualitative features of local moments coupled to a conduction band, and thereby the physics of materials such as the heavy fermions. In…

### Ferromagnetism beyond Lieb's theorem

- Physics
- 2016

The noninteracting electronic structures of tight binding models on bipartite lattices with unequal numbers of sites in the two sublattices have a number of unique features, including the presence of…

### Three-dimensional Hubbard model in the thermodynamic limit

- Physics
- 2016

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths…

### Disordered two-dimensional superconductors: Roles of temperature and interaction strength

- Physics
- 2008

We have considered the half-filled disordered attractive Hubbard model on a square lattice, in which the on-site attraction is switched off on a fraction $f$ of sites, while keeping a finite $U$ on…

### Destruction of Superconductivity by Impurities in the Attractive Hubbard Model

- Physics
- 2005

We study the effect of U = 0 impurities on the superconducting and thermodynamic properties of the attractive Hubbard model on a square lattice. Removal of the interaction on a critical fraction of…

### Spontaneous particle-hole symmetry breaking of correlated fermions on the Lieb lattice

- Physics
- 2017

We study spinless fermions with nearest-neighbor repulsive interactions ($t\text{\ensuremath{-}}V$ model) on the two-dimensional three-band Lieb lattice. At half-filling, the free electronic band…

### Compressible ferrimagnetism in the depleted periodic Anderson model

- Physics
- 2018

Tight-binding Hamiltonians with single and multiple orbitals exhibit an intriguing array of magnetic phase transitions. In most cases the spin ordered phases are insulating, while the disordered…

### Two-dimensional Hubbard model: Numerical simulation study.

- PhysicsPhysical review. B, Condensed matter
- 1985

The two-dimensional Hubbard model on a square lattice with nearest-neighbor hopping is studied and it is suggested that the system is always paramagnetic, in contradiction with Hartree-Fock predictions.

### Magnetic Shell Structure of 2D-Trapped Fermi Gases in the Flat-Band Lieb Lattices

- PhysicsApplied Sciences
- 2019

We investigate the magnetic shell structure of repulsively interacting two-component Fermi gases trapped in a two-dimensional harmonic potential and loaded on the optical Lieb lattices. We employ the…