# Stacking-enriched magneto-transport properties of few-layer graphenes

## TL;DR

This paper explores how different stacking configurations in few-layer graphene influence quantum Hall effects and magneto-transport properties, revealing diverse and stacking-dependent quantum conductivity behaviors.

## Contribution

It provides a detailed analysis of stacking-dependent quantum Hall effects in bilayer and trilayer graphene using the Kubo formula and tight-binding model, highlighting new transport phenomena.

## Key findings

- Stacking configurations significantly alter magnetic quantization.
- Quantum conductivities are highly sensitive to Fermi energy and magnetic field.
- Various unique plateau structures and conductivity behaviors are observed.

## Abstract

The quantum Hall effects in the sliding bilayer graphene and AAB-stacked trilayer system are investigated by the Kubo formula and the generalized tight-binding model. The various stacking configurations can greatly diversify the magnetic quantization and thus create the rich and unique transport properties. The quantum conductivities are very sensitive to the Fermi energy and magnetic-field strength. The diverse features cover the specific non-integer conductivities, the integer conductivities with the distinct steps, the splitting-created reduction and complexity of quantum conductivity, a vanishing or non-zero conductivity at the neutral point, and the well-like, staircase, composite, and abnormal plateau structures in the field-dependencies. Such stacking-dependent characteristics mainly originate from the crossing, anticrossing and splitting Landau-level energy spectra and three kinds of quantized modes.