Resonant helical multi-edge transport in Sierpiński carpets
arXiv:2401.16014 · doi:10.1016/j.physe.2024.116097
Abstract
In recent years, synthesis and experimental research of fractalized materials has evolved in a paradigmatic crossover with topological phases of matter. We present here a theoretical investigation of the helical edge transport in Sierpinski carpets (SCs), combining the Bernevig-Hughes-Zhang (BHZ) model and the Landauer approach. Starting from a pristine two-dimensional topological insulator (2DTI), according to the BHZ model, our results reveal resonant transport modes when the SC fractal generation reaches the same scale as the space discretization; these modes are analyzed within a contour plot mapping of the local spin-polarized currents, shown spanned and assisted by inner-edge channels. From such a deeply fractalized SC building block, we introduce a rich tapestry formed by superior SC hierarchies, enlightening intricate patterns and unique fingerprints that offer valuable insights into how helical edge transport occurs in these fractal dimensions.
References in corpus (25)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Quantum Spin Hall Effect
- Kwant: a software package for quantum transport
- Nonlocal edge state transport in the quantum spin Hall state
- Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films
- Design and characterization of electronic fractals
- Transport and optical properties of an electron gas in a Sierpinski carpet
- Inner Skin Effects on Non-Hermitian Topological Fractals
- Topological states on fractal lattices
- Higher-order topological phases on fractal lattices
- The existence of robust edge currents in Sierpinsky Fractals
- Hall conductivity of Sierpinski carpet
- Optical conductivity of a quantum electron gas in a Sierpinski carpet
- Disorder effects of vacancies on the electronic transport properties of realistic topological insulators nanoribbons: the case of bismuthene
- Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
- Interplay between boundary conditions and Wilson's mass in Dirac-like Hamiltonians
- Observation of squeezed Chern insulator in an acoustic fractal lattice
- An attractive critical point from weak antilocalization on fractals
- Fabry-Pérot resonant vortices and magnetoconductance in topological insulator constrictions with magnetic barriers
- Comprehensive quantum transport analysis of M-Superlattice structures for barrier infrared detectors
- Filtering electrons by mode coupling in finite semiconductor superlattices