Stability and properties of striped phases in systems of interacting fermions or hard-core bosons

TL;DR

This paper investigates the stability and characteristics of striped phases in quantum models of interacting fermions and hard-core bosons, relevant to condensed matter phenomena like high-temperature superconductivity.

Contribution

It provides a detailed analysis of the stability conditions and properties of striped structures in specific quantum models, combining theoretical and computational approaches.

Findings

Striped phases are stable under certain interaction parameters.

Competition between crystallization and phase separation influences stripe formation.

Properties of stripes depend on model specifics and interaction strengths.

Abstract

In this thesis we deal with the specific collective phenomena in condensed matter - striped-structures formation. Such structures are observed in different branches of condensed matter physics, like surface physics or physics of high-temperature superconductors. These quasi-one-dimensional objects appear in theoretical analyses as well as in computer simulations of different theoretical models. Here, the main topic of interest is the stability of striped structures in certain quantum models, where a tendency towards crystallization competes with a tendency towards phase separation, and some basic properties of these structures.