Mobile holes in frustrated quantum magnets and itinerant fermions on frustrated geometries

TL;DR

This paper explores how doping and frustration in quantum magnets and itinerant fermion systems lead to novel, exotic phases and behaviors, highlighting the interplay between frustration, doping, and electron interactions.

Contribution

It introduces a comprehensive analysis of doped frustrated systems, revealing potential for new phases and deepening understanding of frustration effects in quantum materials.

Findings

Frustration induces unconventional insulating ground states.

Doped holes significantly alter magnetic and electronic properties.

Extensive degeneracy in classical ground states influences quantum behavior.

Abstract

As discussed in several chapters of this volume, frustration leads to unconventional (insulating) ground states. On the other hand, doped holes are known to have profound effects in Mott insulators. Therefore doped frustrated systems offer the prospect of novel phases with some of the most fascinating, challenging and exotic behavior. In addition, at commensurate electron fillings and in the presence of strong (screened) Coulomb repulsion, geometrical frustration can also manifests itself as an extensive degeneracy of the classical ground-state manifold providing profound similarities with the field of quantum frustrated magnetism.