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.
6 pages and 7 figures
References in corpus (14)
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Topological Insulators on the Lieb and Perovskite Lattices
- Band geometry, Berry curvature and superfluid weight
- 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
- Ferromagnetism beyond Lieb's theorem
- Scaling and renormalization in the modern theory of polarization: application to disordered systems
- Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
- Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
- 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
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- Magnetic fluctuation and dominant superconducting pairing symmetry near the tunable Van Hove singularity
- Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model