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The band inversion transition in a cylindrical HgTe nanowire is inducible via varying the nanowire radius. Here we derive the low-energy effective Hamiltonian describing the band structure of the HgTe nanowire close to the fundamental band…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Rui Li

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

Electron-hole systems on a Haldane sphere are studied by exact numerical diagonalization. Low lying states contain one or more types of bound charged excitonic complexes Xk-, interacting through appropriate pseudopotentials. Incompressible…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi , John J. Quinn

We present an exact method to calculate the electronic states of one electron Hamiltonians with diagonal disorder. We show that the disorder averaged one particle Green's function can be calculated directly, using a deterministic complex…

Quantum Physics · Physics 2022-10-12 Tarun Gera , K. L. Sebastian

I study the structure of the two-dimensional electron gas edge in the quantum Hall regime using the composite fermion approach. The electron density distribution and the composite fermion energy spectrum are obtained numerically in Hartree…

Condensed Matter · Physics 2016-08-31 Dmitri B. Chklovskii

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras

On the basis of the transfer matrix technique an analytical method to investigate the stationary states, for an electron in one-dimensional periodic structures in an external electrical field, displaying the symmetry of the problem is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 N. L. Chuprikov

The electric-field effect on the electronic and magnetic properties of triangular and hexagonal graphene quantum rings with zigzag edge termination is investigated by means of the single-band tight-binding Hamiltonian and the mean-field…

Mesoscale and Nanoscale Physics · Physics 2014-08-29 R. Farghadan , A. Saffarzadeh

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

We consider tubular nanowires with a polygonal cross-section. In this geometry the lowest energy states are separated in two sets, one of corner and one of side-localized states, respectively. The presence of an external magnetic field…

We consider a model Hamiltonian for a dimer including all the electronic one- and two-body terms consistent with a single orbital per site, a free Einstein phonon term, and an electron-phonon coupling of the Holstein type. The bare…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , J. R. Iglesias , M. A. Gusmao , C. Noce , A. Romano

The electronic structure of nanocylinder without and with a small perturbation is investigated with the help of calculation of the local density of states. A continuum gauge field-theory model is used for this purpose. In this model, Dirac…

Materials Science · Physics 2014-12-23 R. Pincak , J. Smotlacha , M. Pudlak

Rotationally invariant combinations of the Brillouin zone-center Bloch functions are used as basis function to express in cylindrical coordinates the valence-band and Kane envelope-function Hamiltonians for wurtzite and zinc-blende…

Materials Science · Physics 2012-10-30 Eduard Takhtamirov

We analyze a model problem representing a multi-electronic molecule sitting on a metal surface. Working with a reduced configuration interaction Hamiltonian, we show that one can extract very accurate ground state wavefunctions as compared…

Chemical Physics · Physics 2020-09-24 Junhan Chen , Zuxin Jin , Wenjie Dou , Joseph Subotnik

From the order-N electronic-structure formulation, a Hamiltonian is derived, of which lowest eigen state is the generalized or composite-band Wannier state. This Hamiltonian maps the locality of the Wannier state to that of a virtual…

Materials Science · Physics 2009-10-31 Takeo Hoshi , Takeo Fujiwara

We present a method for the calculation of electronic structure of systems that contain tens of thousands of atoms. The method is based on the division of the system into mutually overlapping fragments and the representation of the…

Materials Science · Physics 2011-03-09 Nenad Vukmirović , Lin-Wang Wang

We have realized a quantum optics like Hanbury Brown and Twiss (HBT) experiment by partitioning, on an electronic beam-splitter, single elementary electronic excitations produced one by one by an on-demand emitter. We show that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. Bocquillon , F. D. Parmentier , C. Grenier , J. -M. Berroir , P. Degiovanni , D. C. Glattli , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

We present an efficient approach to the electron correlation problem that is well-suited for strongly interacting many-body systems, but requires only mean-field-like computational cost. %which is based on orbital optimization of electron…

Strongly Correlated Electrons · Physics 2014-08-05 Katharina Boguslawski , Paweł Tecmer , Paul W. Ayers , Patrick Bultinck , Stijn De Baerdemacker , Dimitri Van Neck

We reelaborate on a general method for diagonalizing a wide class of nonlinear Hamiltonians describing different quantum optical models. This method makes use of a nonlinear deformation of the usual su(2) algebra and when some physical…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , A. Navarro , L. L. Sanchez-Soto

An exact solution of non-stationary Schrodinger equation is obtained for a one-dimensional movement of electrons in an electromagnetic field with arbitrary intensity and frequency. Using it, the permeability coefficient is calculated for a…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska
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