Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems

TL;DR

This paper explores the spontaneous quantum Hall states in chirally-stacked few-layer graphene, detailing their unique charge, spin, and valley Hall effects, and their edge state characteristics, revealing new topological phases.

Contribution

It provides a theoretical framework for understanding the distinct broken symmetry states and their topological properties in multilayer graphene systems.

Findings

Valley Hall states have [N/2] edge channels per spin-valley.

Different states exhibit unique charge, spin, and valley Hall conductivities.

States are distinguished by their orbital magnetizations and edge properties.

Abstract

Chirally stacked N-layer graphene systems with N >= 2 exhibit a variety of distinct broken symmetry states in which charge density contributions from different spins and valleys are spontaneously transferred between layers. We explain how these states are distinguished by their charge, spin, and valley Hall conductivities, by their orbital magnetizations, and by their edge state properties. We argue that valley Hall states have [N/2] edge channels per spin-valley.