Size Effects on Transport Properties in Topological Anderson Insulators

Abstract

We study the size effects on the transport properties in topological Anderson insulators by means of the Landauer-Büttiker formalism combined with the nonequilibrium Green function method. Conductances calculated for serval different widths of the nanoribbons reveal that there is no longer quantized plateaus for narrow nanoribbons. The local spin-resolved current distribution demonstrates that the edge states on the two sides can be coupled, leading to enhancement of backscattering as the width of the nanoribbon decreases, thus destroying the perfect quantization phenomena in the topological Anderson insulator. We also show that the main contribution to the nonquantized conductance also comes from edge states. Experiment proposals on topological Anderson insulator are discussed finally.

4 pages, 4 figures

References in corpus (22)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators in Three Dimensions
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• The quantum spin Hall effect and topological insulators
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Topological Mott Insulators
• Topological Anderson Insulator
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Theory of the topological Anderson insulator
• A Bose-Einstein condensate in a random potential
• Anomalous Finite Size Effects on Surface States in the Topological Insulator Bi${}_2$Se${}_3$
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Topological Anderson Insulator in Three Dimensions
• Quantum Blockades and Loop Currents in Graphene with Topological Defects

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• Topological Phases in Two-Dimensional Materials: A Brief Review
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• Pressure induced topological quantum phase transition in Sb_2Se_3
• Topological Insulator in the Presence of Spatially Correlated Disorder
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Light-induced phase crossovers in a quantum spin Hall system
• Evolutions of helical edge states in disordered HgTe/CdTe quantum wells
• Topological Anderson Insulators in Systems without Time-Reversal Symmetry
• Percolating States in the Topological Anderson Insulator
• Z${}_2$ nontrivial topology of rare-earth binary oxide superconductor
• Weak quantization of non-interacting topological Anderson insulator
• Recent progress on disorder-induced topological phases