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Transport fingerprints of helical edge states in Sierpinski tapestries

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Author(s):
Sandoval, M. A. Toloza ; Araujo, A. L. ; de Lima, Crasto ; Sao, A. Fazzio
Total Authors: 4
Document type: Journal article
Source: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES; v. 165, p. 6-pg., 2024-09-12.
Abstract

Recently, synthesis and experimental research of fractalized materials has evolved in a paradigmatic crossroad with topological states of matter. Here, we present a theoretical investigation of the helical edge transport in Sierpi & nacute;ski carpets (SCs), combining the Bernevig-Hughes-Zhang model with the Landauer transport framework. By starting from a pristine two-dimensional topological insulator, the results reveal vanishing and reentrant resonant transport modes enabled for increased SC fractal generation. We observe that fractal with superior hierarchy inherits characteristics due to self-similarity and present conductance patterns resembling a miniband transport picture with fractal fingerprints. Real-space mapping of emerging resonant and antiresonant states provides an unprecedented view of helical-edge currents encoded in these intricate geometries and their multiple edges, underscoring the significance and consistency of our findings. (AU)

FAPESP's process: 22/08478-6 - Investigation of topological boundary states for design of quantum devices
Grantee:Augusto de Lelis Araújo
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 23/12336-5 - Native defects and amorphous driven properties in 2D materials
Grantee:Augusto de Lelis Araújo
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 17/02317-2 - Interfaces in materials: electronic, magnetic, structural and transport properties
Grantee:Adalberto Fazzio
Support Opportunities: Research Projects - Thematic Grants