SearcharxivSearch

arXiv subjects

Aziz Fall

Publications and source records attributed to Aziz Fall.

2 recordsLinked to original sources

Emergent Electronic Flat Bands Through Dislocation Defect Phase Patterning: Effective One-Dimensional Model

Recent theoretical work has predicted that dislocation patterning induces anisotropic flat bands in the electronic band diagram, which can lead to unusual effects such as unconventional superconductivity. This work develops a reduced-dimensional framework to provide insights into their origin. An effective one-dimensional dislocation potential is constructed by averaging over the spatial distributions of dislocations along a singular direction. The resulting model introduces a parameter that quantifies the strain modulation, thereby providing a transparent approach to analyze the role of dislocation strain in leading to flat band formation.

cond-mat.str-el

Dislocation Patterning as a Mechanism for Flat Band Formation

We compute the second-order correction to the electronic dispersion relation of a free electron gas interacting with an effective electron-dislocation potential, derived from a modern quantized theory of dislocations. Our results demonstrate that dislocation patterning induces anisotropic flat bands in the electronic dispersion under specific strain fields and directions, referred to as ``magic'' parameters. These flat bands acquire non-zero curvature as the strain or direction deviates from these magic parameters.

cond-mat.str-el