Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials

TL;DR

This review covers recent advances in topological crystalline insulators and superconductors, emphasizing their fundamental concepts, symmetry roles, and material realization challenges.

Contribution

It provides a comprehensive overview of the concepts, models, and material challenges associated with topological crystalline insulators and superconductors.

Findings

Explained the role of symmetries in topological properties.

Reviewed model Hamiltonians for these materials.

Discussed material realization challenges.

Abstract

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts, model Hamiltonians, and novel electronic properties of these new topological materials are explained. The key role of symmetries that underlie their topological properties is elucidated. Key issues in their materials realizations are also discussed.