Engineering electronic states of periodic and quasiperiodic chains by buckling

TL;DR

This paper investigates how buckling in periodic and quasiperiodic chains affects electronic states, revealing that buckling can induce continuous subbands, extended states, and controllable electronic transmission, with implications for designing electronic materials.

Contribution

It provides exact real space renormalization group analysis of buckled chains, showing how buckling modifies the density of states and transport properties in both periodic and quasiperiodic systems.

Findings

Buckling creates narrow subbands with extended states in periodic chains.

Quasiperiodic buckling destroys multifractality, forming continuous subbands.

Electronic transmission can be switched on and off by buckling.

Abstract

The spectrum of spinless, non-interacting electrons on a linear chain that is buckled in a non- uniform manner giving it a flavor of a topologically disordered lattice, is investigated within a tight binding formalism. We have addressed two specific cases, viz., a perfectly periodic chain wrinkled in a quasiperiodic Fibonacci pattern, and a quasiperiodic Fibonacci chain, where the buckling also takes place in a Fibonacci pattern. The buckling brings distant neighbors in the parent chain to close proximity, which is simulated by a tunnel hopping amplitude. It is seen that, in the perfectly ordered case, increasing the strength of the tunnel hopping (that is, bending the segments more) absolutely continuous density of states is retained towards the edges of the band, while the central portion becomes fragmented and host subbands of narrowing widths containing extended, current carrying states, and multiple isolated bound states formed as a result of the bending. A switching on and off of the electronic transmission can thus be engineered by buckling. On the other hand, in the second example of a quasiperiodic Fibonacci chain, imparting a quasiperiodic buckling is found to generate continuous subband(s) destroying the usual multifractality of the energy spectrum. We present exact results based on a real space renormalization group analysis, that is corroborated by explicit calculation of the two terminal electronic transport.