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arXiv · 2504.07899

Dislocation Patterning as a Mechanism for Flat Band Formation

Aziz Fall·Kaushik Dayal
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Abstract

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.

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Aziz Fall, Kaushik Dayal. 2025-04-10. Dislocation Patterning as a Mechanism for Flat Band Formation. https://doi.org/10.1103/physrevb.111.155116

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