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Recent advance in quantum simulations of interacting photons using superconducting circuits offers opportunities for investigating the Bose-Hubbard model in various geometries with hopping coefficients and self-interactions tuned to both…

Superconductivity · Physics 2016-03-01 Xiu-Hao Deng , Chen-Yen Lai , Chih-Chun Chien

Hybrid superconductor-semiconductor devices are currently one of the most promising platforms for realizing Majorana zero modes. Their topological properties are controlled by the band alignment of the two materials, as well as the…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 August E. G. Mikkelsen , Panagiotis Kotetes , Peter Krogstrup , Karsten Flensberg

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

The nature of delocalization in a 1D system ruled by a tight-binding Hamiltonian is investigated. Using a local evaluation of the ground state energy, it is shown that the range of the delocalization effects is rather limited. The method is…

Strongly Correlated Electrons · Physics 2007-05-23 Arnaud Boullanger , Vincent Robert

We develop an atomistic, nearest-neighbor sp3s* tight-binding Hamiltonian to investigate the electronic structure of dilute bismide alloys of GaP and GaAs. Using this model we calculate that the incorporation of dilute concentrations of Bi…

Materials Science · Physics 2011-12-12 Muhammad Usman , Christopher A. Broderick , Andrew Lindsay , Eoin P. O'Reilly

We study the tight-binding model with two distinct hoppings $(t_L, t_S)$ on the two-dimensional hexagonal golden-mean tiling and examine the confined states with $E=0$, where $E$ is the eigenenergy. Some confined states found in the case…

Strongly Correlated Electrons · Physics 2023-04-05 Toranosuke Matsubara , Akihisa Koga , Sam Coates

Edge states reveal the nontrivial topology of energy band in the bulk. As localized states at boundaries, many-body edge states may obey a special symmetry that is broken in the bulk. When local particle-particle interaction is induced,…

Strongly Correlated Electrons · Physics 2021-11-25 K. L. Zhang , Z. Song

Analytic and numerical results for quasiperiodic tight-binding models are reviewed, with emphasis on two and three-dimensional models which so far are beyond a mathematically rigorous treatment. In particular, we consider energy spectra of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Uwe Grimm , Michael Schreiber

We develop a tight-binding model description of semi-Dirac electronic spectra, with highly anisotropic dispersion around point Fermi surfaces, recently discovered in electronic structure calculations of VO$_2$/TiO$_2$ nano-heterostructures.…

Strongly Correlated Electrons · Physics 2015-05-13 S. Banerjee , R. R. P. Singh , V. Pardo , W. E. Pickett

We present a new method for calculating electronic states in low-dimensional semiconductor heterostructures, which is based on the real-space Hamiltonian in the envelope function approximation. The numerical implementation of the method is…

Mesoscale and Nanoscale Physics · Physics 2011-06-01 Yong-Hee Cho , Alexey Belyanin

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

The past years have witnessed impressive advances in electronic structure calculation, especially in the complexity and size of the systems studied, as well as in computation time. Linear scaling methods based on empirical tight-binding…

Materials Science · Physics 2007-05-23 Abduxukur Abdurixit , Alexis Baratoff , Giulia Galli

We present an accurate ab initio tight-binding model, capable of describing the dynamics of Dirac points in tunable honeycomb optical lattices following a recent experimental realization [L. Tarruell et al., Nature 483, 302 (2012)]. Our…

In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic…

Materials Science · Physics 2012-02-01 D. J. Priour

We analyze the electronic structure of group II-VI semiconductors obtained within LMTO approach in order to arrive at a realistic and minimal tight binding model, parameterized to provide an accurate description of both valence and…

Materials Science · Physics 2009-11-10 Sameer Sapra , N. Shanthi , D. D. Sarma

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We present a theoretical analysis of interface states emerging at junctions between armchair graphene nanoribbons of varying widths. By exploring diverse width combinations and junction geometries, we demonstrate that predicting the precise…

Mesoscale and Nanoscale Physics · Physics 2025-07-21 Sofia Sanz , Daniel Sánchez-Portal

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

We investigate the localization of low-energy single quasi-particle states in the 7/9-hybrid nanoribbon system in the presence of strong interactions and within a finite volume. We consider two scenarios, the first being the Hubbard model…

Strongly Correlated Electrons · Physics 2022-12-07 Thomas Luu , Ulf-G. Meißner , Lado Razmadze

We classify Hermitian tight-binding models describing noninteracting electrons on a one-dimensional periodic lattice with two energy bands. To do this, we write a generalized Rice-Mele model with two orbitals per unit cell, including all…

Mesoscale and Nanoscale Physics · Physics 2023-06-02 Edward McCann