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We present a symmetry-based calculation of the electronic structure of a compound semiconductor quantum dot (QD) in the sp^3s* tight-binding model including the spin-orbit interaction. The Hamiltonian matrix is diagonalized exactly for CdTe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Perez-Conde , A. K. Bhattacharjee

We examine whether essence and quantitative aspects of electronic excitation spectra are correctly captured by an effective low-energy model constructed from an {\em ab initio} downfolding scheme. A global electronic structure is first…

Strongly Correlated Electrons · Physics 2009-11-13 Kazuma Nakamura , Yoshihide Yoshimoto , Ryotaro Arita , Shinji Tsuneyuki , Masatoshi Imada

The electronic energy band structure of strained and unstrained Si, Ge and SiGe alloys is examined in this work using thirty-level k.p analysis. The energy bands are at first obtained with ab initio calculations based on the…

Materials Science · Physics 2007-05-23 D. Rideau , M. Feraille , L. Ciampolini , M. Minondo , C. Tavernier , H. Jaouen , A. Ghetti

Ab initio wavefunction based methods are applied to the study of electron correlation effects on the band structure of oxide systems. We choose MgO as a prototype closed-shell ionic oxide. Our analysis is based on a local Hamiltonian…

Materials Science · Physics 2007-08-13 L. Hozoi , U. Birkenheuer , P. Fulde , A. Mitrushchenkov , H. Stoll

An ab initio study of the electronic structures of solid metallotetrabenzoporphyrins (MTBPs) utilized in organic transistors and photovoltaics is presented. Bandstructures, densities of states, and orbitals are calculated for H2, Cu, Ni,…

Materials Science · Physics 2015-05-28 Patrick B. Shea , Jerzy Kanicki

We present an ab initio analysis of a continuous Hamiltonian that maps into the celebrated Haldane model. The tunnelling coefficients of the tight-binding model are computed by means of two independent methods - one based on the maximally…

Mesoscale and Nanoscale Physics · Physics 2015-11-23 Julen Ibañez-Azpiroz , Asier Eiguren , Aitor Bergara , Giulio Pettini , Michele Modugno

A common technique in the study of complex quantum-mechanical systems is to reduce the number of degrees of freedom in the Hamiltonian by using quasi-degenerate perturbation theory. While the Schrieffer--Wolff transformation achieves this…

Quantum Physics · Physics 2025-02-19 Isidora Araya Day , Sebastian Miles , Hugo K. Kerstens , Daniel Varjas , Anton R. Akhmerov

One- and two-dimensional bilayer systems are examples of ultra-tunable quantum materials that are considered as the basis for the new generation of electronic and photonic devices. Here we develop a general theory of the electron band…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 D. V. Chalin , D. I. Levshov , A. E. Myasnikova , S. B. Rochal

A multiband empirical tight-binding model for group-III-nitride semiconductors with a wurtzite structure has been developed and applied to both bulk systems and embedded quantum dots. As a minimal basis set we assume one s-orbital and three…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Daniel Mourad , Stefan Barthel , Gerd Czycholl

Complex optical design is hindered by conventional piecewise setup, which prevents modularization and therefore abstraction of subsystems at the circuit level. This limits multiple fields that require complex optics systems, including…

We propose introducing an extended Hubbard Hamiltonian derived via the ab initio downfolding method, which was originally formulated for periodic materials, towards efficient quantum computing of molecular electronic structure calculations.…

Quantum Physics · Physics 2024-08-29 Yuichiro Yoshida , Nayuta Takemori , Wataru Mizukami

Development of next-generation electronic devices for applications call for the discovery of quantum materials hosting novel electronic, magnetic, and topological properties. Traditional electronic structure methods require expensive…

Computational Physics · Physics 2020-05-28 Hexin Bai , Peng Chu , Jeng-Yuan Tsai , Nathan Wilson , Xiaofeng Qian , Qimin Yan , Haibin Ling

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

An ab initio Wannier-function-based approach to electronic ground-state calculations for crystalline solids is outlined. In the framework of the linear combination of atomic orbitals method the infinite character of the solid is rigorously…

Condensed Matter · Physics 2009-10-31 Martin Albrecht , Alok Shukla , Michael Dolg , Peter Fulde , Hermann Stoll

We discuss the construction of low-energy tight-binding Hamiltonians for condensed matter systems with a strong coupling to the quantum electromagnetic field. Such Hamiltonians can be obtained by projecting the continuum theory on a given…

Strongly Correlated Electrons · Physics 2020-05-27 Jiajun Li , Denis Golez , Giacomo Mazza , Andrew Millis , Antoine Georges , Martin Eckstein

The band structures describing non-interacting particles in one-dimensional superlattices of arbitrary periodicity are obtained by an analytical diagonalization of the Hamiltonian without adopting the popular tight-binding approximation.…

Strongly Correlated Electrons · Physics 2013-06-18 Olaf Krüger , Alejandro Saenz

In a class of carbon-based materials called polymerized triptycene, which consist of triptycene molecules and phenyls, exotic electronic structures such as Dirac cones and flat bands arise from the kagome-type network. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Tomonari Mizoguchi , Mina Maruyama , Susumu Okada , Yasuhiro Hatsugai

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

In order to investigate electronic properties of recently discovered heavy fermion superconductors CeTIn$_5$ (T=Ir and Co), we employ the relativistic linear augmented-plane-wave (RLAPW) method to clarify the energy band structures and…

Strongly Correlated Electrons · Physics 2007-05-23 T. Maehira , T. Hotta , K. Ueda , A. Hasegawa

Complex band structure generalizes conventional band structure by also considering wavevectors with complex components. In this way, complex band structure describes both the bulk-propagating states from conventional band structure and the…

Materials Science · Physics 2017-07-20 Matthew G. Reuter
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