Hidden Defect Pairs: Objects Invisible in Low-Energy Electron Scattering

TL;DR

This paper investigates the phenomenon of objects with lattice defects in a 1D tight-binding model that are invisible in low-energy electron scattering, revealing a new resonance where reflection vanishes at specific energies.

Contribution

It introduces a novel resonance phenomenon where reflection coefficient drops to zero at certain energies without relying on effective mass approximations.

Findings

Objects are invisible in low-energy electron scattering due to effective mass effects.

A new resonance phenomenon causes zero reflection at specific energies.

Localized states are absent despite defect presence.

Abstract

Objects composed of lattice defects exist within a one-dimensional tight-binding model whose electron reflection coefficient in the low-energy case is equal to zero. Localized states are absent as well. The effective mass concept explains this not as some kind of reflectionless potential but as homogeneous medium, in which effective object size collapses. Without making effective mass approximations a new type of resonance is observed, in which the reflection coefficient becomes zero at a certain energy.