Strain engineering of 1D materials with flat bands

In recent years, materials exhibiting dispersionless electronic states (flat bands) have enjoyed attention due to their association with collective electronic properties such as superconductivity, as well as their connections to other exotic states of electronic matter. Along these lines, various bulk materials, 2D nanomaterials and heterostructures have been the focus of most investigations, while their one-dimensional counterparts remain relatively less explored. In this talk, we will shed some light on realizing and modulating such properties in a variety of 1D materials. Specifically, we will study a number of nanotubes and nanoribbons formed from special lattice arrangements that can display flat bands and topological edge states and study these materials within a symmetry adapted tight binding framework. Our calculations incorporate spin-orbit interactions and capture the effect of natural deformation modes such as axial extension/compression and twisting on the electronic states of the materials. We will describe a variety of phenomena emergent in these materials as a result of these deformation modes, including electronic phase transitions and the lifting of spin-degeneracy. Possibilities of realizing these properties in real 1D materials systems will be discussed.