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It is proved that for general, not necessarily periodic quasi one dimensional systems, the band position operator corresponding to an isolated part of the energy spectrum has discrete spectrum and its eigenfunctions have the same spatial…

Other Condensed Matter · Physics 2008-03-11 H. D. Cornean , A. Nenciu , G. Nenciu

The optical reflection coefficient of a dielectric medium moving uniformly in the plane spanned by its surface is rigorously calculated using classical electrodynamics and special relativity, and expressed in the Fourier domain, as a…

A 2-orbital t-J model over the square lattice that describes low-energy electronic excitations in iron-pnictide high-Tc superconductors is analyzed with Schwinger-boson-slave-fermion meanfield theory and by exact numerical diagonalization…

Superconductivity · Physics 2011-12-20 J. P. Rodriguez , M. A. N. Araujo , P. D. Sacramento

We demonstrate how ab initio cluster calculations including the full Coulomb vertex can be done in the basis of the localized, generalized Wannier orbitals which describe the low-energy density functional (LDA) band structure of the…

Strongly Correlated Electrons · Physics 2012-09-11 M. W. Haverkort , M. Zwierzycki , O. K. Andersen

We review the formalisms of the self-consistent GW approximation to many-body perturbation theory and of the generation of optimally-localized Wannier functions from groups of energy bands. We show that the quasiparticle Bloch wave…

Materials Science · Physics 2009-11-13 D. R. Hamann , David Vanderbilt

We develop a first-principles scheme based on the continued fraction approach an d ultrasoft pseudopotentials to calculate K-edge X-ray absorption spectra in solids. The method allows for calculations of K-edge X-ray absorption spectra in…

Materials Science · Physics 2009-06-29 Christos Gougoussis , Matteo Calandra , Ari P. Seitsonen , Francesco Mauri

Holographic properties of a finite density fermion system have been shown to exhibit many interesting behaviours which can be observed in future. In this paper, we study low energy fermion properties in the framework of the holographic…

High Energy Physics - Theory · Physics 2022-03-01 Sayan Chakrabarti , Debaprasad Maity , Wadbor Wahlang

We have adapted the maximally-localized Wannier function approach of [I. Souza, N. Marzari and D. Vanderbilt, Phys. Rev. B 65, 035109 (2002)] to the density functional theory based Siesta method [J. M. Soler et al., J. Phys.: Cond. Mat. 14,…

Strongly Correlated Electrons · Physics 2015-05-14 Richard Korytár , Miguel Pruneda , Javier Junquera , Pablo Ordejón , Nicolás Lorente

The phase space structure of certain quantum states reveals structure on a scale that is small compared to the Planck area. Using an analog between the wavefunction of a single photon and the electric field of a classical ultrashort optical…

Optics · Physics 2015-05-14 Dane R. Austin , Tobias Witting , Ian A. Walmsley

Maximally-localised Wannier functions (MLWFs) are routinely used to compute from first-principles advanced materials properties that require very dense Brillouin zone integration and to build accurate tight-binding models for scale-bridging…

Computational Physics · Physics 2020-07-02 Valerio Vitale , Giovanni Pizzi , Antimo Marrazzo , Jonathan R. Yates , Nicola Marzari , Arash A. Mostofi

Electronic band structure is a cornerstone of condensed matter physics and materials science. Conventional methods like Wannier interpolation (WI), which are commonly used to interpolate band structures onto dense k-point grids, often…

Materials Science · Physics 2025-06-04 Kai Wu , Yingzhou Li , Wentiao Wu , Lin Lin , Wei Hu , Jinlong Yang

Available laser technology is opening the possibility of testing QED experimentally in the so-called strong-field regime. This calls for developing theoretical tools to investigate strong-field QED processes in electromagnetic fields of…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Di Piazza

The Fourier coefficients of a smooth $K$-invariant function on a compact symmetric space $M=U/K$ are given by integration of the function against the spherical functions. For functions with support in a neighborhood of the origin, we…

Representation Theory · Mathematics 2010-02-23 Gestur Olafsson , Henrik Schlichtkrull

A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available…

Data Analysis, Statistics and Probability · Physics 2022-03-01 K. Gellerstedt , J. Sjölin

When Bloch electrons in a solid are exposed to a strong optical field, they are coherently driven in their respective bands where they acquire a quantum phase as the imprint of the band shape. If an electron approaches an avoided crossing…

Optics · Physics 2024-05-16 Tobias Weitz , Christian Heide , Peter Hommelhoff

We present a construction of a mean-field theory for thermodynamic and spectral properties of correlated electrons reliable in the strong-coupling limit. We introduce an effective interaction determined self-consistently from the reduced…

Strongly Correlated Electrons · Physics 2017-04-19 Václav Janiš , Vladislav Pokorný , Anna Kauch

We consider single particle Schrodinger operators with a gap in the en ergy spectrum. We construct a complete, orthonormal basis function set for the inv ariant space corresponding to the spectrum below the spectral gap, which are…

Materials Science · Physics 2015-11-25 Emil Prodan

Hole-doped high-temperature cuprate superconductors below optimum doping have small electron-like Fermi surfaces occupying a small fraction of the Brillouin zone. There is strong evidence that this is linked to charge density wave (CDW)…

Superconductivity · Physics 2016-03-09 A. Briffa , E. Blackburn , S. M. Hayden , E. A. Yelland , M. W. Long , E. M. Forgan

We describe a robust method for determining Pipek-Mezey (PM) Wannier functions (WF), recently introduced by J\'onsson et al. (J. Chem. Theor. Chem. 2017, 13, 460), which provide some formal advantages over the more common Boys (also known…

Chemical Physics · Physics 2024-07-30 Marjory C. Clement , Xiao Wang , Edward F. Valeev

We develop a technique for constructing Bloch-like functions for 2D Z_2-insulators (i.e., quantum spin-Hall insulators) that are smooth functions of k on the entire Brillouin-zone torus. As the initial step, the occupied subspace of the…

Mesoscale and Nanoscale Physics · Physics 2012-03-19 Alexey A. Soluyanov , David Vanderbilt
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