Tunneling conductance and local density of states in tight-binding junctions

Abstract

We study the relationship between the differential conductance and the local density of states in tight-binding tunnel junctions where the junction' geometry can be varied between the point-contact and the planar-contact limits. The conductances are found to differ significantly in these two limiting cases. We also examine how the matrix element influences the tunneling characteristics and produces contrast in a simple model of scanning tunneling microscope (STM). Some implications regarding the interpretation of STM spectroscopic data in the cuprates are discussed. The calculations are carried out within the real-space Keldysh formalism.

Published version

References in corpus (14)

• Scanning tunneling spectroscopy of high-temperature superconductors
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Inelastic transport theory from first-principles: methodology and applications for nanoscale devices
• Vortex Imaging in the pi-Band of Magnesium Diboride
• Scanning Tunneling Spectroscopy and Vortex Imaging in the Iron-Pnictide Superconductor BaFe${}_{1.8}$Co${}_{0.2}$As${}_2$
• Preeminent role of the Van Hove singularity in the strong-coupling analysis of scanning tunneling spectroscopy for two-dimensional cuprates
• Anti-phase Modulation of Electron- and Hole-like States in Vortex Core of Bi2Sr2CaCu2Ox Probed by Scanning Tunneling Spectroscopy
• Point-contact tunneling involving low-dimensional spin-triplet superconductors
• Keldysh study of point-contact tunneling between superconductors
• Observation of vortices and hidden pseudogap from scanning tunneling spectroscopic studies of electron-doped cuprate superconductor $S{r}_{0.9}L{a}_{0.1}Cu{O}_2$
• Scanning tunneling spectroscopic evidence for magnetic field-induced microscopic orders in the high-$T_c$ superconductor YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Disappearance of zinc impurity resonance in large gap region on Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ probed by scanning tunneling spectroscopy
• Tunneling spectra of strongly coupled superconductors: Role of dimensionality

Cited by in corpus (25)

• Tunneling processes into localized subgap states in superconductors
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires
• Anomalous Transport in the Superfluid Fluctuation Regime
• Detection of magnetic gap in the topological surface states of MnBi2Te4
• Comparative study for two-terminal transport through a lossy one-dimensional quantum wire
• Quasiparticle gaps in multiprobe Majorana nanowires
• Tracing the electronic pairing glue in unconventional superconductors via inelastic Scanning Tunneling Spectroscopy
• Coupling to real and virtual phonons in tunneling spectroscopy of superconductors
• Planar graphene tunnel field-effect transistor
• Bosonic superfluid transport in a quantum point contact
• Tunneling conductance in semiconductor-superconductor hybrid structures
• Role of Nambu-Goldstone modes in the fermionic superfluid point contact
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Spatial interferences in the electron transport of heavy fermion materials
• Conductance of a STM contact on the surface of a thin film
• Bogoliubov quasiparticles coupled to the antiferromagnetic spin mode in a vortex core
• Effect of edge vacancies on performance of planar graphene tunnel field-effect transistor
• Jump of tunneling magnetoresistance in magnetic nanocontacts with mismatched cross section
• Bosonic excitation spectra of superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$ and $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$ extracted from scanning tunneling spectra
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Nonequilibrium and relaxation effects in tunnel superconducting junctions
• Tunneling Hamiltonian analysis of DC Josephson currents in a weakly-interacting Bose-Einstein condensate
• Quasiparticle interference in LiFeAs: Signature of inelastic tunneling through spin fluctuations
• Asymmetry and nonlinearity of current-bias characteristics in superfluid-normal state junctions of weakly-interacting Bose gases
• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor