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A novel type of shallow interface state in junctions of two semiconductors without band inversion is identified within the envelope function approximation, using the two-band model. It occurs in abrupt junctions when the interband velocity…

Condensed Matter · Physics 2009-10-31 A. V. Kolesnikov , R. Lipperheide , A. P. Silin , U. Wille

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and non-fluctuating long-range hopping integrals . It was argued recently [A. Rodriguez at al.,…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , A. V. Malyshev , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

We analyze and present applications of a recently proposed empirical tight-binding scheme for investigating the effects of alloy disorder on various electronic and optical properties of semiconductor alloys, such as the band gap variation,…

Materials Science · Physics 2024-01-31 Anh-Luan Phan , Alessandro Pecchia , Alessia Di Vito , Matthias Auf der Maur

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

We examine the possibility of intrinsic interface states bound to the plane of In-Sb chemical bonds at InAs/AlSb interfaces. Careful parameterization of the bulk materials in the frame of the extended basis spds^* tight-binding model and…

Materials Science · Physics 2016-09-16 F. Raouafi , R. Benchamekh , M. O. Nestoklon , J-M. Jancu , P. Voisin

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

An investigation on the properties of electronic states of a tight-binding Hamiltonian on the Apollonian network is presented. This structure, which is defined based on the Apollonian packing problem, has been explored both as a complex…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ariston L. Cardoso , Roberto F. S. Andrade , André M. C. Souza

We show that a discrete tight-binding model representing either a random or a quasiperiodic array of bonds, can have the entire energy spectrum or a substantial part of it absolutely continuous, populated by extended eigenfunctions only,…

Disordered Systems and Neural Networks · Physics 2014-09-02 Biplab Pal , Arunava Chakrabarti

Exact method of analytical solution of flat, non-dispersive eigenstates in a class of quasi-one dimensional structures is reported within the tight-binding framework. The states are localized over certain sublattice sites. One such finite…

Disordered Systems and Neural Networks · Physics 2020-06-30 Atanu Nandy

We present a numerical method which accurately computes the discrete spectrum and associated bound states of Hamiltonians which model electronic "edge" states localized at boundaries of one and two-dimensional crystalline materials. The…

Computational Physics · Physics 2022-08-23 Kyle Thicke , Alexander B. Watson , Jianfeng Lu

A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are considered. Time-reversal symmetry is broken by…

Pattern Formation and Solitons · Physics 2017-11-08 Mark J. Ablowitz , Justin T. Cole

We present a scheme to controllably improve the accuracy of tight-binding Hamiltonian matrices derived by projecting the solutions of plane-wave ab initio calculations on atomic orbital basis sets. By systematically increasing the…

The envelope-function method with generalized boundary conditions is applied to the description of localized and resonant interface states. A complete set of phenomenological conditions which restrict the form of connection rules for…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. V. Tokatly , A. G. Tsibizov , A. A. Gorbatsevich

Non-local communication among position based qubits is described for the system of the quantum electromagnetic resonator entangled to two semiconductor electrostatic qubits via interaction between matter and radiation by Jaynes-Cummings…

Quantum Physics · Physics 2020-07-15 Krzysztof Pomorski , Robert Bogdan Staszewski

The interface between superconducting Josephson junction and semiconductor position-based qubit implemented in coupled semiconductor q-dots is described such that it can be the base for electrostatic interface between superconducting and…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Krzysztof Dominik Pomorski

An empirical $s_cp^3_a$ tight-binding (TB) model is applied to the investigation of electronic states in semiconductor quantum dots. A basis set of three $p$-orbitals at the anions and one $s$-orbital at the cations is chosen. Matrix…

Other Condensed Matter · Physics 2009-11-11 Stefan Schulz , Gerd Czycholl

We study the localization properties of a disordered tight-binding Hamiltonian on a generic bipartite lattice close to the band center. By means of a fermionic replica trick method, we derive the effective non-linear $\sigma$-model…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michele Fabrizio , Claudio Castellani

It is shown that, an entire class of off-diagonally disordered linear lattices composed of two basic building blocks and described within a tight binding model can be tailored to generate absolutely continuous energy bands. It can be…

Disordered Systems and Neural Networks · Physics 2016-09-09 Atanu Nandy , Biplab Pal , Arunava Chakrabarti

A simple tight-binding model is used to illustrate how the time dependence of a state vector can be obtained from all the eigenvalues and eigenvectors of the Hamiltonian. The behavior of the eigenvalues and eigenvectors is studied for…

Physics Education · Physics 2015-06-26 Antonio Siber

We report on microscopic tight-binding modeling of surface states in Bi$_2$Se$_3$ three-dimensional topological insulator, based on a sp$^3$ Slater-Koster Hamiltonian, with parameters calculated from density functional theory. The effect of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 A. Pertsova , C. M. Canali
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