Spin-orbit interactions may relax the rigid conditions leading to flat bands
arXiv:2110.10453 · doi:10.1103/PhysRevB.105.085103
Abstract
Flat bands are of extreme interest in a broad spectrum of fields since given by their high degeneracy, a small perturbation introduced in the system is able to push the ground state in the direction of an ordered phase of interest. Hence the flat band engineering in real materials attracts huge attention. However, manufacturing a flat band represents a difficult task because its appearance in a real system is connected to rigid mathematical conditions relating a part of Hamiltonian parameters. Consequently, whenever a flat band is desired to be manufactured, these Hamiltonian parameters must be tuned exactly to the values fixed by these rigid mathematical conditions. Here we demonstrate that taking the many-body spin-orbit interaction (SOI) into account -- which can be continuously tuned e.g. by external electric fields --, these rigid mathematical conditions can be substantially relaxed. On this line we show that a variation in the Hamiltonian parameters rigidly fixed by the flat band conditions can also lead to flat bands in the same or in a bit displaced position on the energy axis. This percentage can even increase to in the presence of an external magnetic field. The study is made in the case of conducting polymers. These systems are relevant not only because they have broad application possibilities, but also because they can be used to present the mathematical background of the flat band conditions in full generality, in a concise, clear and understandable manner applicable everywhere in itinerant systems.
References in corpus (53)
- New Perspectives for Rashba Spin-Orbit Coupling
- Observation of topological polaritons and photonic magic angles in twisted van der Waals bi-layers
- Artificial flat band systems: from lattice models to experiments
- Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
- Polymer Nanofibers with Outstanding Thermal Conductivity and Thermal Stability: Fundamental Linkage between Molecular Characteristics and Macroscopic Thermal Properties
- Inverse Spin Hall Effect from pulsed Spin Current in Organic Semiconductors with Tunable Spin-Orbit Coupling
- Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
- The Development of Wearable Polymer-Based Sensors: Perspectives
- Universal Magnetic Properties of sp-type Defects in Covalently Functionalized Graphene
- Tunable Berry curvature, valley and spin Hall effect in Bilayer MoS
- Shedding Light on Moire Excitons: A First-Principles Perspective
- Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions
- Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
- Multifunctional Biocomposites based on Polyhydroxyalkanoate and Graphene/Carbon-Nanofiber Hybrids for Electrical and Thermal Applications
- Spatial coherence of spin-orbit-coupled Bose gases
- Flat-band localization in Creutz superradiance lattices
- Gate-induced band ferromagnetism in an organic polymer
- Exact many-electron ground states on the diamond Hubbard chain
- Route to ferromagnetism in organic polymers
- Soft capacitor fibers using conductive polymers for electronic textiles
- Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
- Flatband Line States in Photonic Super-Honeycomb Lattices
- Topological slow light via coupling chiral edge modes with flat bands
- Flat band in two-dimensional non-Hermitian optical lattices
- Emergence of the strong tunable linear Rashba spin-orbit coupling of two-dimensional hole gases in semiconductor quantum
- Exact solutions for the periodic Anderson model in 2D: A Non-Fermi liquid state in normal phase
- Surface Reconstruction Limited Conductivity in Block-Copolymer Li Battery Electrolytes
- Properties of graphene-related materials controlling thermal conductivity of their polymer nanocomposites
- Exact many-electron ground states on diamond and triangle Hubbard chains
- Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
- Flat-Band Ferromagnetism in Organic Polymers Designed by a Computer Simulation
- Stable two-dimensional soliton complexes in Bose-Einstein condensates with helicoidal spin-orbit coupling
- Electrically switchable metasurface for beam steering using PEDOT
- Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
- SQUID Metamaterials on a Lieb lattice: From flat-band to nonlinear localization
- Collective excitation of quantum wires and effect of spin-orbit coupling in the presence of a magnetic field along the wire
- Exact ground states of correlated electrons on pentagon chains
- Charged solitons in branched conducting polymers
- Effects of spin orbit coupling in superconducting proximity devices -- application to heterostructures
- Enhanced transport of spin-orbit coupled Bose gases in disordered potentials
- Compact Localized States in Engineered Flat-Band Metamaterials
- Enhancement of spin-orbit coupling in Dirac semimetal CdAs films by Sb-doping
- Correlation and confinement induced itinerant ferromagnetism in chain structures
- Interaction created effective flat bands in conducting polymers
- Electron dynamics in the carbon atom induced by spin-orbit interaction
- Identification of strongly interacting organic semimetals
- Spin-memory loss induced by bulk spin-orbit coupling at ferromagnet/heavy-metal interfaces
- Full characterization of electronic transport properties in working polymer light-emitting diodes via impedance spectroscopy
- Landau levels in spin-orbit coupling proximitized graphene: bulk states
- Nanograin ferromagnets from non-magnetic bulk materials: the case of gold nanoclusters
- Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices
- Exact results relating spin-orbit interactions in two dimensional strongly correlated systems
- Itinerant surfaces with spin-orbit couplings, correlations and external magnetic fields: Exact results