Transport in Sawtooth photonic lattices

Abstract

We investigate, theoretically and experimentally, a photonic realization of a Sawtooth lattice. This special lattice exhibits two spectral bands, with one of them experiencing a complete collapse to a highly degenerate flat band for a special set of inter-site coupling constants. We report the ob- servation of different transport regimes, including strong transport inhibition due to the appearance of the non-diffractive flat band. Moreover, we excite localized Shockley surfaces states, residing in the gap between the two linear bands.

arXiv comment5 pages, 4 figures

References in corpus (16)

• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Observation of a localized flat-band state in a photonic Lieb lattice
• Observation of bound states in Lieb photonic lattices
• Observation of novel edge states in photonic graphene
• Band touching from real space topology in frustrated hopping models
• Bosonic Condensation and Disorder-Induced Localization in a Flat Band
• Experimental observation of bulk and edge transport in photonic Lieb lattices
• Bose condensation in flat bands
• Observation of surface gap solitons in semi-infinite waveguide arrays
• Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice
• Elementary excitations in the $\Delta$-chain
• On Quantum Solitons in the Sawtooth Lattice
• One-dimensional sawtooth and zigzag lattices for ultracold atoms
• Quantum Topological Excitations: from the Sawtooth Lattice to the Heisenberg Chain
• Compactification tuning for nonlinear localized modes in sawtooth lattices
• Flat bands and PT-symmetry in quasi-one-dimensional lattices

Cited by in corpus (47)

• Artificial flat band systems: from lattice models to experiments
• Compact localized states and flatband generators in one dimension
• Chiral Flat Bands: Existence, Engineering and Stability
• Localization of weakly disordered flat band states
• A simple method to construct Flat Band lattices
• Flat bands in lattices with non-Hermitian coupling
• Many-Body Flatband Localization
• Realization of robust boundary modes and non-contractible loop states in photonic Kagome lattices
• Flat bands in fractal-like geometry
• Universal $d=1$ flatband generator from compact localized states
• Nontrivial topological flat bands in a diamond-octagon lattice geometry
• Experimental realisation of $\mathcal{P}\mathcal{T}$-symmetric flat bands
• Flatband generator in two dimensions
• Observation of robust flat-band localization in driven photonic rhombic lattices
• Transport properties in the photonic super-honeycomb lattice - a hybrid fermionic and bosonic system
• Realization of all-band-flat photonic lattices
• Topological flat Wannier-Stark bands
• Nonlinear localized flatband modes with spin-orbit coupling
• Flatband Line States in Photonic Super-Honeycomb Lattices
• Disorder perturbed Flat Bands I: Level density and Inverse Participation Ratio
• Compact Discrete Breathers on Flat Band Networks
• Interaction induced doublons and embedded topological subspace in a complete flat-band system
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Quantum localized states in photonic flat-band lattices
• Flat-band localization and self-collimation of light in photonic crystals
• New face-centered photonic square lattices with flat bands
• Edge states in dynamical superlattices
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Flat band transport and Josephson effect through a finite-size sawtooth lattice
• Flat-band spin dynamics and phonon anomalies of the saw-tooth spin-chain system Fe${}_2$O(SeO${}_3$)${}_2$
• Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
• Perfect localization on flat band binary one-dimensional photonic lattices
• Many-body localization transition from flatband fine-tuning
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Single and double linear and nonlinear flatband chains: spectra and modes
• Phase transitions and thermal entanglement of the distorted Ising-Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Surge of power transmission in flat and nearly flat band lattices
• Quantum collision theory in flat bands
• Effects of Peierls phases in open linear chains
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands
• Compact localized currents in flat bands with broken time-reversal symmetry