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On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-11-18 Lyuba Malysheva

The experimentally obtained (Venkataraman {\em et al}. \cite{latha}) cosine squared relation of electronic conductance in a biphenyl molecule is verified theoretically within a tight-binding framework. Using Green's function formalism we…

Mesoscale and Nanoscale Physics · Physics 2014-04-25 Santanu K. Maiti

Quantum transport properties through single polycyclic hydrocarbon molecules attached to two metallic electrodes are studied by the use of Green's function technique. A parametric approach based on the tight-binding model is introduced to…

Mesoscale and Nanoscale Physics · Physics 2009-12-20 Santanu K. Maiti

The linear combination of atomic orbitals (LCAO) is a standard method for studying solids and molecules, it is also known as the tight$-$binding (TB) method. In most of the implementations only the basis set and the coupling constants are…

Materials Science · Physics 2024-01-18 Graziâni Candiotto

Electron transport properties of a non-interacting mesoscopic ring sandwiched between two metallic electrodes are investigated by the use of Green's function formalism. We introduce a parametric approach based on the tight-binding model to…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

Molecular electronic devices are the upmost destiny of the miniaturization trend of electronic components. Although not yet reproducible on large scale, molecular devices are since recently subject of intense studies both experimentally and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Cuniberti , F. Grossmann , R. Gutierrez

The Hubbard model, a cornerstone in the field of condensed matter physics, serves as a fundamental framework for investigating the behavior of strongly correlated electron systems. This paper presents a novel perspective on the model,…

Strongly Correlated Electrons · Physics 2025-05-23 Xiao-Yong Feng

We theoretically study how a scattered electron can entangle molecular spin qubits (MSQs). This requires solving the inelastic transport of a single electron through a scattering region described by a tight-binding interacting Hamiltonian.…

Quantum Physics · Physics 2023-04-25 Christian Bunker , Silas Hoffman , Jie-Xiang Yu , Xiao-Guang Zhang , Hai-Ping Cheng

We discuss how to construct a tight binding model Hamiltonan for the simplest possible solid, composed of hydrogen-like atoms. A single orbital per atom is not sufficient because the on-site electron-electron repulsion mixes in higher…

Strongly Correlated Electrons · Physics 2014-09-09 J. E. Hirsch

A local-orbital based ab initio approach to obtain the Green function for large heterogeneous systems is developed. First a Green function formalism is introduced based on exact diagonalization. Then the self energy is constructed from an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Albrecht , A. Schnurpfeil , G. Cuniberti

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

Transport in molecular electronic devices is different from that in semiconductor mesoscopic devices in two important aspects: (1) the effect of the electronic structure and (2) the effect of the interface to the external contact. A…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yongqiang Xue , Supriyo Datta , Mark A. Ratner

We explore electron transport properties in molecular wires made of heterocyclic molecules (pyrrole, furan and thiophene) by using the Green's function technique. Parametric calculations are given based on the tight-binding model to…

Mesoscale and Nanoscale Physics · Physics 2009-09-13 Santanu K. Maiti , S. N. Karmakar

We analyze the effect of an external electric field on the electronic structure of molecules which have been recently studied as molecular wires or diodes. We use a self-consistent tight binding technique which provides results in good…

Computational Physics · Physics 2011-09-12 Christophe Krzeminski , Christophe Delerue , Guy Allan

Electronic transport characteristics through a single phenalenyl molecule sandwiched between two metallic electrodes are investigated by the use of Green's function technique. A parametric approach, based on the tight-binding model, is used…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

Mesoscale and Nanoscale Physics · Physics 2008-02-22 Ursula Schröter

We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on the adiabatic approximation for spin degrees of freedom in itinerant-electron systems. Local spin Hamiltonians are introduced in…

The electronic transport properties and switching mechanism of single photochromic diarylethene derivatives sandwiched between two gold surfaces with closed and open configurations are investigated by a fully self-consistent nonequilibrium…

Other Condensed Matter · Physics 2009-11-13 Jing Huang , Qunxiang Li , Hao Ren , Haibin Su , Q. W. Shi , Jinlong Yang

An explicit expression is derived for the distribution function of end-to-end vectors and for the mean square end-to-end distance of a flexible chain with excluded-volume interactions. The Hamiltonian for a flexible chain with weak…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

Time-resolved Faradary rotation experiments have demonstrated coherent transfer of electron spin between CdSe colloidal quantum dots coupled by conjugated molecules. We employ here a Green's function approach, using semi-empirical…

Other Condensed Matter · Physics 2009-11-11 Joshua Schrier , K. Birgitta Whaley
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