Dimensional Effects on the Density of States in Systems with Quasi-Relativistic Dispersion Relations and Potential Wells

TL;DR

This paper investigates how low-dimensional structures with quasi-relativistic dispersion relations affect the density of states, revealing a superposition of 2D and 3D characteristics in such hybrid systems.

Contribution

It introduces a method to determine densities of states in low-dimensional, quasi-relativistic systems, highlighting the hybrid nature of their density of states.

Findings

Density of states is a superposition of 2D and 3D densities.

Hybrid systems exhibit unique density of states due to dimensional effects.

Results are relevant for materials with quasi-relativistic dispersion relations.

Abstract

Motivated by the recent discoveries of materials with quasi-relativistic dispersion relations, we determine densities of states in materials with low dimensional substructures and relativistic dispersion relations. We find that these dimensionally hybrid systems yield quasi-relativistic densities of states that are a superposition of the corresponding two- and three-dimensional densities of states.