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The effective lattice models in strongly correlated electron systems are \emph{derived} in particular for the cuprate superconductors, that incorporate the quantum fluctuations of the spin Berry's phase and the antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-03-15 Mu-Kun Lee , Chyh-Hong Chern

We have developed the tight-binding theory to study electronic and optical properties of type-II heterostructures CA/C'A' grown from the zinc-blende semiconductors CA and C'A' along the crystallographic direction [001]. The sp^3s*…

Mesoscale and Nanoscale Physics · Physics 2008-10-07 E. L. Ivchenko , M. O. Nestoklon

We generalize solid-state tight-binding techniques for the spectral analysis of large superconducting circuits. We find that tight-binding states can be better suited for approximating the low-energy excitations than charge-basis states, as…

Quantum Physics · Physics 2021-09-22 D. K. Weiss , Wade DeGottardi , Jens Koch , D. G. Ferguson

The ballistic performance of electron transport in nanowire transistors is examined using a 10 orbital sp3d5s* atomistic tight-binding model for the description of the electronic structure, and the top-of-the-barrier semiclassical ballistic…

Materials Science · Physics 2008-09-22 Neophytos Neophytou , Abhijeet Paul , Mark S. Lundstrom , Gerhard Klimeck

As semiconductor technologies continue to scale down to the nanoscale, the efficient prediction of material properties becomes increasingly critical. The tight-binding (TB) method is a widely used semi-empirical approach that offers a…

Materials Science · Physics 2025-11-27 In Jun Park , Kamal Choudhary

The Kohn-Luttinger envelope-function method is generalized to the case of heterostructures with atomically sharp heterojunctions based on lattice-matched layers of related semiconductors with zinc-blende symmetry. For electron states near…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. E. Takhtamirov , V. A. Volkov

High-$T_c$ superconductors are usually described as strongly correlated electronic systems. This feature deeply affects the one-particle and two-particle properties of the system. In particular, a large incoherent background developes on…

Superconductivity · Physics 2009-10-31 L. Boeri , E. Cappelluti , C. Grimaldi , L. Pietronero

For a previously published study of the titanium hcp (alpha) to omega (omega) transformation, a tight-binding model was developed for titanium that accurately reproduces the structural energies and electron eigenvalues from all-electron…

Materials Science · Physics 2008-07-24 D. R. Trinkle , M. D. Jones , R. G. Hennig , S. P. Rudin , R. C. Albers , J. W. Wilkins

We theoretically explore the electronic structure of holes in cylindrical Germanium/Silicon core/shell nanowires using a perturbation theory approach. The approach yields a set of interpretable and transferable effective low-energy models…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sebastian Miles , A. Mert Bozkurt , Dániel Varjas , Michael Wimmer

The electronic structure of the zincblende $\beta$-HgS is not well understood. Previous first-principles calculations using fully-relativistic density functional theory and many-body perturbation theory in the fully-relativistic $GW$…

Materials Science · Physics 2022-03-31 Bradford A. Barker , Steven G. Louie

We develop a quantum mechanical theory to describe the optical response of semiconductor nanostructures with a particular emphasis on higher-order harmonic Generation. Based on a tight-binding approach we take all two-particle correlations…

Optics · Physics 2023-01-04 Ulf Peschel , Thomas Lettau , Stefanie Gräfe , Kurt Busch

Strain provides a powerful knob to tailor the electronic properties of semiconductors. Simple yet accurate approximations that capture strain effects in demanding simulations of mesoscopic nanostructures are therefore highly desirable.…

Materials Science · Physics 2025-09-17 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

The effective charge of an element is a parameter characterizing the electromgration effect, which can determine the reliability of interconnection in electronic technologies. In this work, machine learning approaches were employed to model…

Materials Science · Physics 2019-07-03 Yu-chen Liu , Benjamin Afflerbach , Ryan Jacobs , Shih-kang Lin , Dane Morgan

We consider the extended Hubbard model and introduce a corresponding Heisenberg-like problem written in terms of spin operators. The derived formalism is reminiscent of Anderson's idea of the effective exchange interaction and takes into…

Strongly Correlated Electrons · Physics 2018-07-25 E. A. Stepanov , S. Brener , F. Krien , M. Harland , A. I. Lichtenstein , M. I. Katsnelson

We introduce an effective tight-binding model to discuss penta-graphene and present an analytical solution. This model only involves the $\pi$-orbitals of the sp$^2$-hybridized carbon atoms and reproduces the two highest valence bands. By…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 T. Stauber , J. I. Beltrán , J. Schliemann

Large values of Born effective charges are generally considered as reliable indicators of the genuine tendency of an insulator towards ferroelectric instability. However, these quantities can be very much influenced by strong electron…

Materials Science · Physics 2009-11-10 Alessio Filippetti , Nicola A. Spaldin

A tight-binding parametrization for silicon, optimized to correctly reproduce effective masses as well as the reciprocal space positions of the conduction-band minima, is presented. The reliability of the proposed parametrization is…

Materials Science · Physics 2009-11-11 A. S. Martins , Timothy B. Boykin , Gerhard Klimeck , Belita Koiller

This theoretical paper offers an explicit expression for the binding energy of excitons in a two-dimensional semiconductor with a flat valence band. The formula has been derived quasiclassically assuming that the exciton is tightly bound;…

Mesoscale and Nanoscale Physics · Physics 2019-05-17 Maxim Trushin

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…

Within the context of first principles techniques we present a theoretical and computational framework to quickly determine, at finite momentum, the self-consistent (longitudinal) charge response to an external perturbation, that enters the…

Materials Science · Physics 2025-06-10 Francesco Macheda , Paolo Barone , Francesco Mauri