Publication 25-CNA-020

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

Aziz Fall
Department of Mechanical Engineering
Carnegie Mellon University
Pittsburgh, PA 15213
afall@andrew.cmu.edu

Kaushik Dayal
Department of Civil and Environmental Engineering
Center for Nonlinear Analysis
Department of Mechanical Engineering
Carnegie Mellon University
Pittsburgh, PA 15213
Kaushik.Dayal@cmu.edu

Abstract: 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.

Get the paper in its entirety as  25-CNA-020.pdf

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