Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise

• URL: http://arxiv.org/abs/2102.01394v2
• Date: Mon, 15 Feb 2021 13:23:25 GMT
• Title: Klein tunneling through the trapezoidal potential barrier in graphene: conductance and shot noise
• Authors: Gheorghe Sorin Paraoanu
• Abstract summary: Tunnel barriers are formed as a result of doping of graphene by the metal in the contact region. Klein tunneling results in specific features in the conductance and noise. We put in evidence an unexpected global symmetry - the transmission probability is the same for energies symmetric with respect to half of the barrier height.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: When a single-layer graphene sheet is contacted with metallic electrodes, tunnel barriers are formed as a result of the doping of graphene by the metal in the contact region. If the Fermi energy level is modulated by a gate voltage, the phenomenon of Klein tunneling results in specific features in the conductance and noise. Here we obtain analytically exact solutions for the transmission and reflection probability amplitudes using a trapezoidal potential barrier, allowing us to calculate the differential conductance and the Fano factor for a graphene sheet in the ballistic regime. We put in evidence an unexpected global symmetry - the transmission probability is the same for energies symmetric with respect to half of the barrier height. We outline a proposal for the experimental verification of these ideas using realistic sample parameters.

Related papers

• On the Su-Schrieffer-Heeger model of electron transport: low-temperature optical conductivity by the Mellin transform [62.997667081978825]
  We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain. Our goal is to show vias how the interband conductivity of this system behaves as the smallest energy bandgap tends to close.
  arXiv  Detail & Related papers  (2022-09-26T23:17:39Z)
• Gate-based spin readout of hole quantum dots with site-dependent $g-$factors [101.23523361398418]
  We experimentally investigate a hole double quantum dot in silicon by carrying out spin readout with gate-based reflectometry. We show that characteristic features in the reflected phase signal arising from magneto-spectroscopy convey information on site-dependent $g-$factors in the two dots.
  arXiv  Detail & Related papers  (2022-06-27T09:07:20Z)
• Space-time resolved quantum field approach to Klein tunneling dynamics across a finite barrier [0.0]
  We find that no particle actually tunnels through a finite supercritical barrier, even in the case of resonant tunneling. The transmission is instead mediated by modulations in pair production rates, at each edge of the barrier.
  arXiv  Detail & Related papers  (2022-05-30T14:13:15Z)
• Thermal self-oscillations in monolayer graphene coupled to a superconducting microwave cavity [58.720142291102135]
  We observe thermal self-oscillations in a monolayer graphene flake coupled to superconducting resonator. The experimental observations fit well with theoretical model based on thermal instability. The modelling of the oscillation sidebands provides a method to evaluate electron phonon coupling in disordered graphene sample at low energies.
  arXiv  Detail & Related papers  (2022-05-27T15:38:41Z)
• Tunneling Effect in Gapped Phosphorene through Double Barriers [0.0]
  Transport properties of charge carriers in phosphorene with a mass term through double barriers are studied. Results show the highly anisotropic character of phosphorene and the no signature of Klein tunneling at normal incidence contrary to graphene.
  arXiv  Detail & Related papers  (2021-10-18T14:11:21Z)
• Engineering the Radiative Dynamics of Thermalized Excitons with Metal Interfaces [58.720142291102135]
  We analyze the emission properties of excitons in TMDCs near planar metal interfaces. We find suppression or enhancement of emission relative to the point dipole case by several orders of magnitude. nanoscale optical cavities are a viable pathway to generating long-lifetime exciton states in TMDCs.
  arXiv  Detail & Related papers  (2021-10-11T19:40:24Z)
• Tunneling Effect in Gapped Graphene Disk in Magnetic Flux and Electrostatic Potential [0.0]
  We investigate the tunneling effect of a Corbino disk in graphene in the presence of a variable magnetic flux $Phi_i$ created by a solenoid piercing the inner disk. Considering different regions, we explicitly determine the associated eigenspinors in terms of Hankel functions.
  arXiv  Detail & Related papers  (2021-08-02T20:38:27Z)
• Tuning the mode-splitting of a semiconductor microcavity with uniaxial stress [49.212762955720706]
  In this work we use an open microcavity composed of a "bottom" semiconductor distributed Bragg reflector (DBR) incorporating an n-i-p heterostructure. We demonstrate a reversible in-situ technique to tune the mode-splitting by applying uniaxial stress to the semiconductor DBR. A thorough study of the mode-splitting and its tuning across the stop-band leads to a quantitative understanding of the mechanism behind the results.
  arXiv  Detail & Related papers  (2021-02-18T13:38:32Z)
• Abelian and non-Abelian topological behavior of a neutral spin-1/2 particle in a background magnetic field [0.0]
  We present results of a numerical experiment in which a neutral spin-1/2 particle subjected to a static magnetic vortex field passes through a double-slit barrier. We demonstrate that the resulting interference pattern exhibits fringes reminiscent of Aharonov-Bohm scattering by a magnetic flux tube. We show how degeneracy can be lifted by higher order gauge corrections that alter the semi-classical, non-Abelian, WZ phase.
  arXiv  Detail & Related papers  (2020-08-17T20:26:33Z)
• Synthetic Flux Attachment [0.0]
  Topological field theories emerge at low energy in strongly-correlated condensed matter systems. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field is coupled to matter. We investigate the generation of flux attachment in a Bose-Einstein condensate in the presence of non-linear synthetic gauge potentials.
  arXiv  Detail & Related papers  (2020-03-31T16:23:58Z)
• Thermoelectricity in Quantum-Hall Corbino Structures [48.7576911714538]
  We measure the thermoelectric response of Corbino structures in the quantum Hall effect regime. We predict a figure of merit for the efficiency of thermoelectric cooling which becomes very large for partially filled Landau levels.
  arXiv  Detail & Related papers  (2020-03-03T19:19:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.