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We model a wire as a cylindrical potential barrier and calculate diffraction from that potential using quantum electrodynamics. We compare our results with classical Fraunhofer diffraction. We find general agreement between the quantum and…

Quantum Physics · Physics 2017-12-04 Andrew Daniels , Jordan Kupec , Timothy Baker , Eduardo V. Flores

We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

The non-linear current-voltage characteristic of a tunnel junction between two Luttinger systems is calculated for an interaction with finite range. Coulomb blockade features are found. The dissipative resistance, the capacitance and the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Maura Sassetti , Gianaurelio Cuniberti , Bernhard Kramer

We present a self-consistent method for the evaluation of the electronic current flowing through a multi-terminal molecular wire. The method is based on Buttiker- Landauer theory which relates the current to one-electron scattering…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

We analyze electrostatic potentials in the holographic Schwinger effect. The potential barrier for the pair production is estimated by a static potential consisting of static mass energies, an electric potential from an external…

High Energy Physics - Theory · Physics 2015-06-15 Yoshiki Sato , Kentaroh Yoshida

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Akinori Nishino , Naomichi Hatano , Gonzalo Ordonez

An analytic approach to the electron transport phenomena in molecular devices is presented. Analyzed devices are composed of organic molecules attached to the two semi-infinite electrodes. Molecular system is described within the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+\beta^q)^{\frac{1}{q}}}, with the parameters Z>0, \beta>0, q \ge 1, it is shown analytically that the potentials and eigenvalues, E_{\nu\ell}, are…

Mathematical Physics · Physics 2015-05-13 Richard L. Hall , Nasser Saad , K. D. Sen , Hakan Ciftci

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites complemented by finite size analysis) and analytic…

Strongly Correlated Electrons · Physics 2009-10-31 Sylvain Capponi , Didier Poilblanc , Thierry Giamarchi

Structural properties of a finite number ($N = 2 - 20$) of point charges (classical electrons) confined laterally in a two-dimensional two-minima potential are calculated as a function of the distance ($d$) between the minima. The particles…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Marlo , M. Alatalo , A. Harju , R. M. Nieminen

Motivated by the recent experiments by the Westervelt group using a mobile tip to probe the electronic state of quantum dots formed on a segmented nanowire, we study the shifts in Coulomb blockade peak positions as a function of the spatial…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Jiang Qian , Bertrand I. Halperin , Eric J. Heller

We study the transport through a quantum dot coupled to two leads by single-mode point contacts. The linear conductance is calculated analytically as a function of a gate voltage and temperature T in the case when transmission coefficients…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

Three dimensional field configuration has been simulated for a simple wire chamber consisting of one anode wire stretched along the axis of a grounded square cathode tube by solving numerically the boundary integral equation of the first…

Instrumentation and Detectors · Physics 2008-11-26 N. Majumdar , S. Mukhopadhyay

We study theoretically a quantum dot in the quantum Hall regime that is strongly coupled to a single lead via a point contact. We find that even when the transmission through the point contact is perfect, important features of the Coulomb…

Condensed Matter · Physics 2009-10-28 Hangmo Yi , C. L. Kane

We review recent results on the linear and non-linear optical response of realistic quantum-wire structures. Our theoretical approach is based on a set of generalized semiconductor Bloch equations, and allows a full three-dimensional…

Materials Science · Physics 2009-10-30 Fausto Rossi , Elisa Molinari

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

Quantum transport through single molecules is very sensitive to the strength of the molecule-electrode contact. Here, we investigate the behavior of a model molecular junction weakly coupled to external electrodes in the case where charging…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bo Song , Dmitry A. Ryndyk , Gianaurelio Cuniberti

We present analytic and numerical studies based on Landauer theory of conductance antiresonances of molecular wires. Our analytic treatment is a solution of the Lippmann-Schwinger equation for the wire that includes the effects of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

Constant potential method molecular dynamics simulation (CPM MD) enables the accurate modelling of atomistic electrode charges when studying the electrode-electrolyte interface at the nanoscale. Here we extend the theoretical framework of…

Materials Science · Physics 2023-05-26 Shern Ren Tee , Debra J. Searles