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Related papers: Electron Transmission through Modified Benzene

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Transmission through a benzene ring, connected by sulfur contact atoms to gold leads, is calculated by a tight-binding model by means of the renormalization method. Attention is focused on the parameters associated with the contact atoms,…

Mesoscale and Nanoscale Physics · Physics 2019-08-30 Kenneth W. Sulston

The renormalization method has been previously used in conjunction with the Lippman-Schwinger equation to calculate transmission probabilities for benzene molecules, within the tight-binding approximation. Those results are extended here by…

Mesoscale and Nanoscale Physics · Physics 2016-07-21 Kenneth W. Sulston , Sydney G. Davison

The renormalization-decimation method is used to study the transmittivity of atomic wires, with one or more side branches attached at multiple sites. The rescaling process reduces all the branches, attached at an atomic site, to an…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Kenneth W. Sulston , Sydney G. Davison

The renormalization equations emerge from a Greenian-matrix solution of the discretized Schrodinger equation. A by-product of these equations is the decimation process, which enables substituted-benzenes to be mapped onto corresponding…

Mesoscale and Nanoscale Physics · Physics 2015-05-15 Kenneth W. Sulston , Sydney G. Davison

We investigate the electrical transport through a system of benzene coupled to metal electrodes by electron tunneling. Using electronic structure calculations, a semi--quantitative model for the pi-electrons of the benzene is derived that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. H. Hettler , W. Wenzel , M. R. Wegewijs , H. Schoeller

The conductance through a molecular device including electron-electron and electron-phonon interactions is calculated using the Numerical Renormalization Group method. At low temperatures and weak electron-phonon coupling the properties of…

Strongly Correlated Electrons · Physics 2007-05-23 P. S. Cornaglia , H. Ness , D. R. Grempel

We study electron transport through double quantum dots in series. The tunnel coupling of the discrete dot levels to external leads causes a shift of their energy. This energy renormalization affects the transport characteristics even in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bernhard Wunsch , Matthias Braun , Jürgen König , Daniela Pfannkuche

By expressing the discrete Schrodinger equation as a second-order finite-difference equation with constant coefficients, the renormalization equations for substituted benzene dimers are derived via the c_n-coefficient elimination procedure.…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 Sydney G. Davison , Kenneth W. Sulston

The effect of dephasing on electron transport through a benzene molecule is carefully examined using a phenomenological model introduced by B\"{u}ttiker. Within a tight-binding framework all the calculations are performed based on the…

Mesoscale and Nanoscale Physics · Physics 2011-04-14 Moumita Dey , Santanu K. Maiti , S. N. karmakar

Using the tight-binding model and the generalized Green's function formalism, the effect of quantum interference on the electron transport through the benzene molecule in a semiconductor/benzene/semiconductor junction is numerically…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 Javad Vahedi , Zahra Sartipi

We explore electron transport properties for the model of benzene-1, 4-dithiolate (BDT) molecule and for some other geometric models of benzene molecule attached to two semi-infinite one-dimensional metallic electrodes using the Green's…

Mesoscale and Nanoscale Physics · Physics 2010-04-13 Santanu K. Maiti

Using benzene sandwiched between two Au leads as a model system, we investigate from first principles the change in molecular conductance caused by different atomic structures around the metal-molecule contact. Our motivation is the…

Materials Science · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

Theoretical and experimental values to date for the resistances of single molecules commonly disagree by orders of magnitude. By reformulating the transport problem using boundary conditions suitable for correlated many-electron systems, we…

Condensed Matter · Physics 2007-05-23 P. Delaney , J. C. Greer

The Huckel molecular-orbital method (with overlap S) is used to derive the S-modified version of the renormalization equations, which are then employed to introduce overlap into the para-, meta- and ortho-benzene dimers' parameters.…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Kenneth W. Sulston , Sydney G. Davison

We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the…

Strongly Correlated Electrons · Physics 2009-11-07 D. G. Polyakov , I. V. Gornyi

The lowest-lying states of LiH have been widely used to develop and calibrate many different methods in quantum mechanics. In this paper we show that the electron-transfer processes occurring in these two states are a difficult test for…

We study the conductance of an interconnect between two graphene leads formed by a single-atom carbon chain. Its dependence on the chemical potential and the number of atoms in the chain is qualitatively different from that in the case of…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 Wei Chen , A. V. Andreev , G. F. Bertsch

The purpose of these notes is to provide a pedagogical introduction to the concept of renormalization in atomic physics. We study quantum dynamics of a model of a nonrelativistic single electron atom coupled to the quantum radiation field…

Quantum Physics · Physics 2022-04-07 Milan Šindelka

We study the electronic properties of DNA by way of a tight-binding model applied to four particular DNA sequences. The charge transfer properties are presented in terms of localisation lengths, crudely speaking the length over which…

Genomics · Quantitative Biology 2007-05-23 Daphne Klotsa , Rudolf A. Roemer , Matthew S. Turner

The superconducting instability of the Fermi liquid state is investigated by considering anisotropic electron-boson couplings. Both electron-electron interactions and anisotropic electron-boson couplings are treated with a…

Strongly Correlated Electrons · Physics 2009-06-12 Rafael Roldan , Shan-Wen Tsai , M. Pilar Lopez-Sancho
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