Stability of destructive interference antiresonances in electron transport through graphene nanostructures

Abstract

We investigate the stability of destructive quantum interference (DQI) in electron transport through graphene nanostructures connected to source and drain electrodes. The fingerprint of DQI is the presence of an antiresonance in the transmission function, and its origin is deeply connected to the topology of the atomic structure, which we discuss in terms of symmetry arguments supported by numerical simulations. A systematic analysis of the influence of system size on the transmission function reveals that the DQI antiresonance persists for large systems in the ballistic regime and establishes the quantum confinement gap as the intrinsic resolution limit to detect QI effects. Furthermore, we consider the influence of disorder, electron-electron and electron-phonon interactions, and provide quantitative criteria for the robustness of DQI in their presence. We find that the conductance is quite sensitive to perturbations, and its value alone may not be sufficient to characterize the QI properties of a junction. Instead, the characteristic behavior of the transmission function is more resilient, and we suggest it retains information on the presence of an antiresonance even if DQI is partially concealed or suppressed. At the same time, DQI results in a non-linear transport regime in the current-bias characteristics that can be possibly detected in transport experiments.

arXiv comment14 pages, 4 figures plus Supporting Information

References in corpus (71)

• Energy Gaps in Graphene Nanoribbons
• Imaging Grains and Grain Boundaries in Single-Layer Graphene: An Atomic Patchwork Quilt
• Dirac cones reshaped by interaction effects in suspended graphene
• Observation of Quantum Interference in Molecular Charge Transport
• Advances and challenges in single-molecule electron transport
• Quantum conductance of graphene nanoribbons with edge defects
• Ballistic transport exceeding 28 μm in CVD grown graphene
• Controlling quantum transport through a single molecule
• Atomically-thin Ohmic Edge Contacts Between Two-dimensional Materials
• Mechanically Controlled Quantum Interference in Individual π-stacked Dimers
• Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene
• Conserving GW scheme for nonequilibrium quantum transport in molecular contacts
• A quantum circuit rule for interference effects in single-molecule electrical junctions
• Random strain fluctuations as dominant disorder source for high-quality on-substrate graphene devices
• Zero-Conductance Resonances due to Flux States in Nanographite Ribbon Junctions
• Applicability of the Wide-Band Limit in DFT-Based Molecular Transport Calculations
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Excitonic absorption in gate controlled graphene quantum dots
• Theory of Magnetic Edge States in Chiral Graphene Nanoribbons
• Magic ratios for connectivity-driven electrical conductance of graphene-like molecules
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Mechanically Controlled Quantum Interference in Graphene Break Junctions
• Searching the hearts of graphene-like molecules for simplicity, sensitivity and logic
• Mode-selective vibrational control of charge transport in $\pi$-conjugated molecular materials
• Quantum Interference in Graphene Nanoconstrictions
• Coherent electronic transport through graphene constrictions: sub-wavelength regime and optical analogies
• Graphical prediction of quantum interference-induced transmission nodes in functionalized organic molecules
• Dynamical Mean-Field Theory for Molecular Electronics: Electronic Structure and Transport Properties
• Quantum Interference in Off-Resonant Transport through Single Molecules
• Exploring quantum interference in heteroatom-substituted graphene-like molecules
• Single- and multi-mode Fabry-Pérot interference in suspended graphene
• Destructive quantum interference in electron transport: A reconciliation of the molecular orbital and the atomic orbital perspective
• Quantum Interference, Graphs, Walks, and Polynomials
• Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions
• Spin-resolved Quantum Interference in Graphene
• Dynamical vertex approximation for nanoscopic systems
• Quantum interference assisted spin filtering in graphene nanoflakes
• Edge states reconstruction from strong correlations in quantum spin Hall insulators
• Correlations in a band insulator
• Quantum transport simulation scheme including strong correlations and its application to organic radicals adsorbed on gold
• Size control of Charge-Orbital Order in Half-Doped Manganite, La${}_{0.5}$Ca${}_{0.5}$MnO${}_3$
• Characterizing wave functions in graphene nanodevices: electronic transport through ultrashort graphene constrictions on a boron nitride substrate
• Electronic properties of graphene nano-flakes: Energy gap, permanent dipole, termination effect and Raman spectroscopy
• EDIpack: A parallel exact diagonalization package for quantum impurity problems
• Quantum interference engineering of nanoporous graphene for carbon nanocircuitry
• Correlation effects in transport properties of interacting nanostructures
• Augmented hybrid exact-diagonalization solver for dynamical mean field theory
• Interplay between destructive quantum interference and symmetry-breaking phenomena in graphene quantum junctions
• Realistic theory of electronic correlations in nanoscopic systems
• Effective magnetic correlations in hole-doped graphene nanoflakes
• Comment on "Breakdown of Interference Rules in Azulene, a Nonalternant Hydrocarbon"
• Parquet approximation for molecules: spectrum and optical conductivity of the Pariser-Parr-Pople model
• Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators
• Transmission through correlated Cu${}_n$CoCu${}_n$ heterostructures
• Characterizing Destructive Quantum Interference in Electron Transport
• Spin-caloritronic transport in hexagonal graphene nanoflakes
• Tunable site- and orbital-selective Mott transition and quantum confinement effects in La${}_{0.5}$Ca${}_{0.5}$MnO${}_3$ nanoclusters
• Towards high-temperature coherence-enhanced transport in few-atomic layers heterostructures
• Inelastic vibrational signals in electron transport across graphene nanoconstrictions
• Control of quantum interference in molecular junctions: Understanding the origin of Fano and anti- resonances
• Dynamical Mean-Field Theory for spin-dependent electron transport in spin-valve devices
• The DFT+${\Sigma }_2$ method for electron correlation effects at transition metal surfaces
• Coherent transport of armchair graphene constrictions
• Smart local orbitals for efficient calculations within density functional theory and beyond
• A path to poor coherence in heavy fermions from Mott physics and hybridization
• Enhancing the sensitivity and selectivity of pyrene-based sensors for detection of small gaseous molecules via destructive quantum interference
• Electrode effects on the observability of destructive quantum interference in single-molecule junctions
• Inducing and controlling magnetism in the honeycomb lattice through harmonic trapping potential
• Comparing scattering rates from Boltzmann and dynamical mean-field theory
• Robust conductance zeroes in graphene quantum dots and other bipartite systems
• Conductance zeros in complex molecules and lattices from the interference set method

Cited by in corpus (3)

• Robust quantum engineering of current flow in carbon nanostructures at room temperature
• Quantum transport in nitrogen-doped nanoporous graphenes
• A General Algorithm For Determining The Conductivity Zeros In Large Molecular Nanostructures: Applications To Rectangular Graphene Sheets