Non-neutral charged two-dimension system and its quasihole structure

TL;DR

This paper explores non-neutral charged 2D systems, revealing the existence of quasiholes with unique topological charges and analyzing their structure using the hypernetted-chain approximation, challenging the neutral charge assumption in condensed matter.

Contribution

It introduces the concept of non-neutral charged 2D systems with quasiholes and analyzes their structure, extending the vortex-Coulomb gas analogy to charged systems.

Findings

Quasiholes can be projected onto another 2D layer.

Quasiholes exhibit a topological charge of 3/2.

Non-neutral 2D systems can host particle-like charge centers.

Abstract

Most of our current knowledge on condensed matters contains a default assumption: the matters are neutral charged. On the other hand, the two-dimension(2D) vortex-Coulomb gas charge analogy is a very successful theoretical tool in explaining superfluid, type-II superconductor and fractional quantum Hall effect(FQHE), because the interaction among vortices show similarity with 2D Coulomb potential. Here, by breaking the 'neutral charged' assumption, we suggest the positively charged 2D semiconductor system can possess non-trivial particle-like charge centers(called 'quasihole'), which is the charge version of 'vortex'. Using the hypernetted-chain (HNC) approximation, the structure of quasihole is elucidated. Numerical calculations show that the quasihole can be projected onto another 2D layer, producing an electric field configuration characterized by 3/2 topological charge.