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The transmission properties of armchair graphene nanoribbon junctions between graphene electrodes are investigated by means of first-principles quantum transport calculations. First the dependence of the transmission function on the size of…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 C. Motta , D. Sánchez-Portal , M. I. Trioni

Electron-electron (e-e) collisions can impact transport in a variety of surprising and sometimes counterintuitive ways. Despite strong interest, experiments on the subject proved challenging because of the simultaneous presence of different…

Attosecond dynamics of electron transmission through atomically-thin crystalline films is studied with an {\em ab initio} scattering theory. The temporal character of the electron propagation through graphene multilayers is traced to the…

Materials Science · Physics 2025-06-10 E. E. Krasovskii , R. O. Kuzian

We study the conductance spectrum of graphene quantum dots, both single and multiple cases. The single electron tunneling phenomenon is investigated and the periodicity, amplitude and line shape of the Coulomb blockade oscillations at low…

Mesoscale and Nanoscale Physics · Physics 2009-11-17 Qiong Ma , Tao Tu , Zhi-Rong Lin , Guang-Can Guo , Guo-Ping Guo

Understanding how evanescent modes mediate energy transfer in tapered elastic waveguides is of paramount interest, as it unlocks new strategies for wave control and manipulation. Evanescent modes play a crucial role in energy localization…

Classical Physics · Physics 2026-01-13 Alexandre Yoshitaka Charau , Jérôme Laurent , Tony Valier-Brasier

We examine transmission through a quantum graph vertex to which auxiliary edges with constant potentials are attached. We find a characterization of vertex couplings for which the transmission probability from a given "input" line to a…

Mathematical Physics · Physics 2016-01-01 Ondřej Turek

We explore excitation transport within a one-dimensional chain of atoms where the atomic transition dipoles are coupled to the free radiation field. When the atoms are separated by distances smaller or comparable to the wavelength of the…

Quantum Physics · Physics 2019-09-04 Jemma A. Needham , Igor Lesanovsky , Beatriz Olmos

We consider a periodic quantum graph in the form of a rectangular lattice with the $\delta$-coupling of strength $\gamma$ in the vertices perturbed by changing the latter at an infinite straight array of vertices to a…

Spectral Theory · Mathematics 2024-12-31 Marzieh Baradaran , Pavel Exner , Andrii Khrabustovskyi

A transfer matrix approach is used to study the electronic transport in graphene superlattices with long-range correlated barrier spacements. By considering the low-energy electronic excitations as massless Dirac fermions, we compute by…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 Anderson L. R. Barbosa , Jonas R. F. Lima , Ícaro S. F. Bezerra , Marcelo L. Lyra

We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean- and Lorentz invariance, and contain a variety of nonlinear terms due…

Mesoscale and Nanoscale Physics · Physics 2014-09-01 D. Svintsov , V. Vyurkov , V. Ryzhii , T. Otsuji

Since its first isolation in 2004, graphene has been found to host a plethora of unusual electronic transport phenomena, making it a fascinating system for fundamental studies in condensed-matter physics as well as offering tremendous…

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boundary and turning points. The boundary has small fluctuations on the scale of the…

Analysis of PDEs · Mathematics 2017-02-14 Liliana Borcea , Josselin Garnier , Derek Wood

The transmittance of intersection between narrow quantum strips is studied. It is assumed that strip widths are less than the electron wavelength, so that they are tunnel conductors. In this assumption the Schr\"odinger equation is reduced…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 L. Braginsky , M. V. Entin

Wave propagation through waveguides, quantum wires or films with a modest amount of disorder is in the semi-ballistic regime when in the transversal direction(s) almost no scattering occurs, while in the long direction(s) there is so much…

Condensed Matter · Physics 2009-10-28 A. Mosk , Th. M. Nieuwenhuizen , C. Barnes

A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 A. Apostolakis , M. K. Awodele , K. N. Alekseev , F. V. Kusmartsev , A. G. Balanov

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

We study theoretically the transfer of quantum information along bends in two-dimensional discrete lattices. Our analysis shows that the fidelity of the transfer decreases considerably, as a result of interactions in the neighbourhood of…

Quantum Physics · Physics 2013-08-19 G. M. Nikolopoulos , A. Hoskovec , I. Jex

Surface graphene guides were interfaced with an array of individual semiconductor quantum dots, whose position was commensurate with the optical guide modes. The surface guide served as a channel for a Field Effect Transistor (FET) while…

Mesoscale and Nanoscale Physics · Physics 2019-07-09 Xin Miao , Haim Grebel

We demonstrate theoretically that quantum dots in bilayers of graphene can be realized. A position-dependent doping breaks the equivalence between the upper and lower layer and lifts the degeneracy of the positive and negative momentum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , P. Vasilopoulos , F. M. Peeters

We consider the propagation of waves in a waveguide with Neumann boundary conditions. We work at low wavenumber with only one propagating mode in the leads, all the other modes being evanescent. We assume that the waveguide is symmetric…

Analysis of PDEs · Mathematics 2018-03-19 Lucas Chesnel , Vincent Pagneux
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