Flux modulated flat band engineering in square-kagome ladder network
arXiv:1901.09242 · doi:10.1016/j.physleta.2019.04.035
Abstract
The origin of non-dispersive flat band modes for a quasi-one dimensional square-kagome ladder network is explored analytically by virtue of the real space renormalization group (RSRG) technique. A section of the eigenstates is non-diffusive i.e., localized within a cluster of sub-lattice sites partly by the destructive type of quantum interference and partly by the physical divider formed by the sites with zero wave function amplitude. By making the amplitude vanish at the selective sites it becomes possible to confine the incoming excitation within the trapping cell leading to the formation of compact localized states. The effective mass of the particle becomes infinitely large corresponding to those self-localized modes and hence the mobility of the wave train becomes vanishingly small. This quenched kinetic energy leads to a momentum independent contribution to a dispersion curve. The present analysis is corroborated by numerical calculation of spectral landscape and the corresponding dispersion profile. The application of uniform magnetic flux may lead to a comprehensive engineering of the position as well as the curvature of the band. Also, one-to-one mapping between electronic case and photonic case within the tight-binding framework helps us to study the photonic localization in an analogous single mode wave guide system. The concept of slow light eventually introduces the possibility of spatial compression of light energy.
arXiv comment10 pages, 12 eps figures (Revision submitted to Physics Letters A)
References in corpus (28)
- Storage of light in atomic vapor
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Nearly-flat bands with nontrivial topology
- Observation of a localized flat-band state in a photonic Lieb lattice
- Observation of bound states in Lieb photonic lattices
- Aharonov-Bohm cages in two-dimensional structures
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
- "Pudding mold" band drives large thermopower in NaCoO
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Detangling Flat Bands into Fano Lattices
- Compact localized states and flatband generators in one dimension
- Flat Bands Under Correlated Perturbations
- Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
- Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice
- Chiral Flat Bands: Existence, Engineering and Stability
- Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
- A simple method to construct Flat Band lattices
- Landau-Zener Bloch oscillations with perturbed flat bands
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Flat bands in fractal-like geometry
- Nontrivial topological flat bands in a diamond-octagon lattice geometry
- Effective magnetic fields for photons in waveguide and coupled resonator lattices
- Tight-binding photonic bands in metallophotonic waveguide networks and flat bands in kagome lattices
- Engineering flat electronic bands in quasiperiodic and fractal loop geometries
- Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks
- Engineering slow light and mode crossover in a fractal-kagome waveguide network