Holographic Lieb lattice and gapping its Dirac band
arXiv:2205.12540 · doi:10.1007/JHEP02(2023)084
Abstract
We first point out that the Laia-Tong model realizes the Lieb lattice in the holographic setup. It generates a flat band of sharp particle spectrum together with a Dirac band of unparticle spectrum. We then construct a model which opens a gap to the Dirac band so that one can realize a well-separated flat band, which can play the role of the hydrogen atom of strongly correlated systems. We then study the phase transition between the gapped and gapless phases analytically. We also made methodological progress to find a few other quantizations and we express the Green functions in any quantization in terms of that in the standard quantization.
arXiv admin note: text overlap with arXiv:2012.04279 by other authors
References in corpus (16)
- High temperature fractional quantum Hall states
- Linear Confinement and AdS/QCD
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Lectures on Holographic Superfluidity and Superconductivity
- Observation of a localized flat-band state in a photonic Lieb lattice
- Fractional quantum Hall effect in the absence of Landau levels
- Observation of bound states in Lieb photonic lattices
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Topological Insulators on the Lieb and Perovskite Lattices
- Real-time response in AdS/CFT with application to spinors
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Ferromagnetism beyond Lieb's theorem
- Probing the Holographic Fermi Arc with scalar field: Numerical and analytical study
- The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model