Edge states mechanism for the anomalous quantum Hall effect in diatomic square lattice

Abstract

The understanding of the Chern insulator and anomalous quantum Hall effect (AQHE) in terms of chiral edge states in confined systems is the first aim of the paper. The model we use consists in a diatomic square lattice with hopping to the next-nearest-neighbors and broken time-reversal symmetry, which exhibits edge states in the absence of an external magnetic field. The question of chiral edge states is approached in the ribbon and plaquette geometries with different atomic connectivities at the boundaries. Insulating and semi-metallic phases are revealed, the resulting phase diagram being richer than in Haldane's model. The transmission coefficients and the Hall resistance $R_H$ are calculated for the finite size system in the Landauer-Büttiker formalism. The quantized values $R_H=\pm h/e^2$, specific to the Chern insulator, are manifest in the energy range occupied by the chiral edge states, corresponding to the unique gap existing in the energy spectrum. Our second aim is to examine the disorder-induced properties of the model, and, as a novelty, we prove the disorder-driven AQHE in the semi-metallic phase.

arXiv comment10 pages, 12 figures

References in corpus (18)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Higher-Order Topological Insulators
• Electronic and Magnetic Properties of Nanographite Ribbons
• Fractional quantum Hall states at zero magnetic field
• Fractional quantum Hall effect in the absence of Landau levels
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
• Robust spin-polarized midgap states at step edges of topological crystalline insulators
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice
• Adiabatic continuity between Hofstadter and Chern insulator states
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Topological edge states and quantum Hall effect in the Haldane model
• Coexisting edge states and gapless bulk in topological states of matter
• Anderson localization and topological transition in Chern insulators
• Phosphorene confined systems in magnetic field, quantum transport, and superradiance in the quasi-flat band
• Electrical manipulation of the edge states in graphene and the effect on the quantum Hall transport
• Anomalous quantum Hall effect induced by disorder in topological insulators

Cited by in corpus (3)

• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Topological phase transitions driven by polarity change and next-nearest-neighbor hopping in skyrmion crystals
• Robust band of critical states in T broken fermionic systems with lattice selective disorder