Universal quantum transport and impurity band super metallicity in self-similar graphene carpets
arXiv:2003.13507 · doi:10.1103/PhysRevResearch.2.033063
Abstract
Fractals, a fascinating mathematical concept made popular in the eighties, remained for decades a beautiful scientific curiosity mainly. With the tremendous advances in nanofabrication techniques, such as nanolithography, it has become possible to design self-similar materials with fine structures down to nanometer scale. Here, we investigate the effects of self similarity on quantum electronic transport in graphene Sierpinski carpets. We find that a gap opens up in the electron spectrum in the middle of which lies a flat band of zeros energy modes. Although these states have a zero velocity, a supermetallic phase is found at the neutrality point. For Fermi energy located in the valence/conduction band and in the presence of a small inelastic scattering the system stays metallic and the transport is found strongly anisotropic.
arXiv comment6 figures
References in corpus (39)
- The electronic properties of graphene
- Many-Body Physics with Ultracold Gases
- Chiral tunneling and the Klein paradox in graphene
- Electronic transport in two dimensional graphene
- Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Electronic and Magnetic Properties of Nanographite Ribbons
- Carrier transport in 2D graphene layers
- Quantum interference and Klein tunneling in graphene heterojunctions
- The Kernel Polynomial Method
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Topological Bands for Ultracold Atoms
- Quantum Hall Ferromagnetism in Graphene
- Disorder Induced Localized States in Graphene
- Graphene Antidot Lattices - Designed Defects and Spin Qubits
- Modeling disorder in graphene
- Conductance quantization and transport gap in disordered graphene nanoribbons
- Modeling electronic structure and transport properties of graphene with resonant scattering centers
- Design and characterization of electronic fractals
- Electronic transport properties of graphene nanoribbons
- Disorder and Electronic Transport in Graphene
- Critical delocalization of chiral zero energy modes in graphene
- Transport and optical properties of an electron gas in a Sierpinski carpet
- Broken Symmetries, Zero-Energy Modes, and Quantum Transport in Disordered Graphene: From Supermetallic to Insulating Regimes
- Quantum dynamics in two and three-dimensional quasiperiodic tilings
- Topology in the Sierpiński-Hofstadter problem
- The existence of robust edge currents in Sierpinsky Fractals
- Conductivity of graphene with resonant and non-resonant adsorbates
- Quantum transport of slow charge carriers in quasicrystals and correlated systems
- Anderson localization in two-dimensional graphene with short-range disorder: One-parameter scaling and finite-size effects
- Plasmon confinement in fractal quantum systems
- Density of states in graphene with vacancies: midgap power law and frozen multifractality
- Optical conductivity of a quantum electron gas in a Sierpinski carpet
- RKKY Interactions in Graphene: Dependence on Disorder and Gate Voltage
- Quantum Hall criticality and localization in graphene with short-range impurities at the Dirac point
- Reducing disorder in graphene nanoribbons by chemical edge modification
- Anomalous electronic transport in Quasicrystals and related Complex Metallic Alloys
- Breakdown of the semi-classical conduction theory in approximants of the octagonal tiling
- Carrier induced ferromagnetism in the insulating Mn doped III-V semiconductor InP
Cited by in corpus (11)
- Flat band induced room temperature ferromagnetism in two dimensional systems
- Quantum transport in flat bands and super-metallicity
- Giant boost of the quantum metric in disordered one dimensional flat band systems
- Robustness of chiral edge modes in fractal-like-lattices below two dimensions: A case study
- Confined Electrons in Effective Plane Fractals
- Electronic properties and quantum transports in functionalized graphene Sierpinski carpet fractals
- Linearized spectral decimation in fractals
- Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
- Electronic transport properties and quantum localization effects monitored by selective functionalization in Bernal bilayer graphene
- Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
- Quantum Fractality on the Surface of Topological Insulators