Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
arXiv:2206.03890 · doi:10.1103/PhysRevB.106.205149
Abstract
Using the determinant quantum Monte Carlo method, we investigate the metal-insulator transition in the interacting disordered Hubbard model of a Lieb lattice, in which the system characterizes the flat band centered at the Fermi level. By choosing suitable electron densities, we ensure the weak interaction sign problem to improve the reliability of our results. It is found that disorder and on-site Coulomb repulsive interaction produce interesting effects that induce the metal-insulator transition which is impossible in the half-filled case. The density of states at the Fermi energy is still finite in the thermodynamic limit, suggesting that the system is an Anderson insulator rather than a Mott insulator. Moreover, this doping system is paramagnetic, unlike the half-filled system, which is ferrimagnetic.
arXiv comment6 pages and 7 figures
References in corpus (45)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Metallic behavior and related phenomena in two dimensions
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Superfluidity in topologically nontrivial flat bands
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Experimental realization and characterization of an electronic Lieb lattice
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Geometric origin of superfluidity in the Lieb lattice flat band
- Topological states in engineered atomic lattices
- Electric field scaling at a B=0 metal-insulator transition in two dimensions
- Topological Insulators on the Lieb and Perovskite Lattices
- Band geometry, Berry curvature and superfluid weight
- Deviations from Fermi-liquid behavior above in 2D short coherence length superconductors
- Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
- Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
- Superconductor-Insulator Transition in a Disordered Electronic System
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Geometry Dependence of the Sign Problem
- Observation of flat band for terahertz spoof plasmon in metallic kagomé lattice
- Flat-Band Ferromagnetism as a Pauli-Correlated Percolation Problem
- Room temperature magnetism on the zigzag edges of phosphorene nanoribbons
- Conducting phase in the two-dimensional disordered Hubbard model
- Particle-Hole Symmetry and the Effect of Disorder on the Mott-Hubbard Insulator
- A correlated Anderson insulator on the honeycomb lattice
- Scaling and the Metal-Insulator Transition in Si/SiGe Quantum Wells
- Ferromagnetism beyond Lieb's theorem
- Recent developments in the field of the metal-insulator transition in two dimensions
- Quantum phase transition in ultrahigh mobility SiGe/Si/SiGe two-dimensional electron system
- Finite-size effects in transport data from Quantum Monte Carlo simulations
- Scaling and renormalization in the modern theory of polarization: application to disordered systems
- Exact multi-electronic electron-concentration dependent ground-states for disordered two-dimensional two-band systems in presence of disordered hoppings and finite on-site random interactions
- Ground-state properties of the disordered Hubbard model in two dimensions
- Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
- Collapse of Charge Gap in Random Mott Insulators
- Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
- Spin and charge density waves in the Lieb lattice
- Impact of strong correlations on a band topological insulator on the Lieb lattice
- Dynamical resilience to disorder: the dilute Hubbard model on the Lieb lattice
- The Parallel Magnetoconductance of Interacting Electrons in a Two Dimensional Disordered System
- Intermediate Phase in Interacting Dirac Fermions with Staggered Potential
- Manifestation of strong correlations in transport in ultra-clean SiGe/Si/SiGe quantum wells
- Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
- Magnetic properties of interacting, disordered electron systems in d=2 dimensions
Cited by in corpus (6)
- Altermagnetism and its induced higher-order topology on the Lieb lattice
- Doping driven metal-insulator transition in disordered graphene
- Transversal transport of magnons in a modified Lieb lattice
- Transport anisotropy and metal-insulator transition in striped Dirac fermion systems
- Magnetic fluctuation and dominant superconducting pairing symmetry near the tunable Van Hove singularity
- Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model