Flat bands and long range Coulomb interactions: conducting or insulating?
arXiv:1407.6286 · doi:10.1103/PhysRevB.91.041102
Abstract
Dispersionless (flat) electronic bands are investigated regarding their conductance properties. Due to "caging" of carriers these bands are usually insulating at partial filling, at least on the non-interacting level. Considering the specific example of a --lattice we study long-range Coulomb interactions. A non-trivial dependence of the conductivity on flat band filling is obtained, exhibiting an infinite number of zeros. Near these zeros, the conductivity rises linearly with carrier density. At densities half way in between adjacent conductivity-zeros, strongly enhanced conductivity is predicted, accompanying a solid-solid phase transition.
arXiv comment5 pages, 2 figures
References in corpus (32)
- Quantum Spin Hall Effect in Graphene
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Topological Flat Band Models and Fractional Chern Insulators
- Fractional Quantum Hall Physics in Topological Flat Bands
- Aharonov-Bohm cages in two-dimensional structures
- Nearly flat band with Chern number C=2 on the dice lattice
- Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
- The -orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Interaction induced delocalisation for two particles in a periodic potential
- Barrier transmission of Dirac-like pseudospin-one particles
- Lattice generalization of the Dirac equation to general spin and the role of the flat band
- Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
- How to escape Aharonov-Bohm cages ?
- Series of Abelian and Non-Abelian States in C>1 Fractional Chern Insulators
- Interaction corrections to the polarization function of graphene
- Correlated phases of bosons in the flat lowest band of the dice lattice
- Hierarchy of fractional Chern insulators and competing compressible states
- Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
- The impossibility of exactly flat non-trivial Chern bands in strictly local periodic tight binding models
- Diverging dc conductivity due to a flat band in disordered pseudospin-1 Dirac-Weyl fermions
- Exact many-electron ground states on the diamond Hubbard chain
- Nematic, topological and Berry phases when a flat and a parabolic band touch
- Fractional Chern insulator on a triangular lattice of strongly correlated electrons
- Fractional Chern insulators with strong interactions far exceeding bandgaps
- Wigner crystal and bubble phases in graphene in the quantum Hall regime
- Zero field Wigner crystal
- Local density of states of electron-crystal phases in graphene in the quantum Hall regime
- Fate of Dirac Points in a Vortex Superlattice
- Tunneling in cosine potential with periodic boundary conditions
Cited by in corpus (15)
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Minimal conductivity, topological Berry winding and duality in three-band semimetals
- Optical response of two-dimensional Dirac materials with a flat band
- Non-equilibrium transport in the pseudospin-1 Dirac-Weyl system
- Andreev reflection of massive pseudospin-1 fermions
- Compact localised states in magnonic Lieb lattices
- Nematic quantum liquid crystals of bosons in frustrated lattices
- Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
- Quantum transport of a spin-1 chiral fermion
- Electrical conductivity and screening effect of spin-1 chiral fermions scattered by charged impurities
- Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
- Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
- RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
- Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system
- Quantum Transport in Spin-1 Chiral Fermion: Self-Consistent Born Approximation