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On the basis of density functional calculations and using Bader's atom in molecule theory, this article presents quantitative microscopic analyses on the bonding properties of amorphous silicon (a-Si) which could reflect in the observable…

Materials Science · Physics 2019-04-11 Zahra Nourbakhsh , Hadi Akbarzadeh

Disordered transverse Anderson localizing optical fibers have shown great promise in various applications from image transport to random lasing. Their success is due to their novel waveguiding behavior, which is enabled by the transverse…

Optics · Physics 2019-03-07 Arash Mafi , Matthew Tuggle , Cody Bassett , Esmaeil Mobini , John Ballato

Maximally-localized Wannier functions (MLWFs) are a powerful and broadly used tool to characterize the electronic structure of materials, from chemical bonding to dielectric response to topological properties. Most generally, one can…

Computational Physics · Physics 2023-11-07 Junfeng Qiao , Giovanni Pizzi , Nicola Marzari

We investigate the moir\'e band structures and the strong correlation effects in twisted bilayer MoTe$_2$ for a wide range of twist angles, employing a combination of various techniques. Using large-scale first principles calculations, we…

Strongly Correlated Electrons · Physics 2024-03-04 Cheng Xu , Jiangxu Li , Yong Xu , Zhen Bi , Yang Zhang

We discuss a maximally localized Wannier function approach for constructing lattice models from first-principles electronic structure calculations, where the effective Coulomb interactions are calculated in the constrained…

Strongly Correlated Electrons · Physics 2009-11-13 Takashi Miyake , F. Aryasetiawan

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening…

Disordered Systems and Neural Networks · Physics 2011-03-08 Marie Piraud , Pierre Lugan , Philippe Bouyer , Alain Aspect , Laurent Sanchez-Palencia

In insulators, the method of Marzari and Vanderbilt [Phys. Rev. B {\bf 56}, 12847 (1997)] can be used to generate maximally localized Wannier functions whose centers are related to the electronic polarization. In the case of layered…

Materials Science · Physics 2009-12-17 Xifan Wu , Oswaldo Diéguez , Karin M. Rabe , David Vanderbilt

The construction of Wannier functions from Bloch orbitals offers a unitary freedom that can be exploited to yield Wannier functions with advantageous properties. Minimizing the spatial variance is a well-known choice; another, previously…

Materials Science · Physics 2026-04-29 Aaron Mahler , Jacob Z. Williams , Neil Qiang Su , Weitao Yang

We present a new code to evaluate thermoelectric and electronic transport properties of extended systems with a maximally-localized Wannier function basis set. The semiclassical Boltzmann transport equations for the homogeneous infinite…

Materials Science · Physics 2013-11-22 Giovanni Pizzi , Dmitri Volja , Boris Kozinsky , Marco Fornari , Nicola Marzari

From density functional calculations, we show that localized states stemming from defects or topological disorder exhibit an anomalously large electron-phonon coupling. We provide a simple analysis to explain the observation and perform a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Raymond Atta-Fynn , Parthapratim Biswas , D. A. Drabold

The existence and construction of exponentially localised Wannier functions for insulators is a well-studied problem. In comparison, the case of metallic systems has been much less explored, even though localised Wannier functions…

Mathematical Physics · Physics 2019-02-04 Horia Cornean , David Gontier , Antoine Levitt , Domenico Monaco

A new method for the localization of crystalline orbitals for entangled energy bands is proposed. It is an extension of the Wannier-Boys algorithm [C. M. Zicovich-Wilson, R. Dovesi, and V. R. Saunders, J. Chem. Phys. 115, 9708 (2001)] which…

Materials Science · Physics 2009-01-07 Uwe Birkenheuer , Dmitry Izotov

Linearity is an important and frequently sought property in electronics and instrumentation. Here, we report a method capable of, given a transfer function, identifying the respective most linear region of operation with a fixed width. This…

Data Analysis, Statistics and Probability · Physics 2016-12-21 Filipi N. Silva , Cesar H. Comin , Luciano da F. Costa

This paper addresses a difficult inverse problem that involves the reconstruction of a three-dimensional model of tetrahedral amorphous semiconductors via inversion of diffraction data. By posing the material-structure determination as a…

Disordered Systems and Neural Networks · Physics 2019-12-06 Dil K. Limbu , Stephen R. Elliott , Raymond Atta-Fynn , Parthapratim Biswas

The structure of amorphous silicon (a-Si) has been studied for decades. The two main theories are based on a continuous random network and on a `paracrystalline' model, respectively -- the latter being defined as showing localized…

Materials Science · Physics 2024-07-24 Louise A. M. Rosset , David A. Drabold , Volker L. Deringer

We present an ab initio inelastic quantum transport approach based on maximally localized Wannier functions. Electronic-structure properties are calculated with density-functional theory in a planewave basis, and electron-vibration coupling…

Mesoscale and Nanoscale Physics · Physics 2013-06-12 Sejoong Kim , Nicola Marzari

We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together…

Disordered Systems and Neural Networks · Physics 2012-08-21 Alberto Rodriguez , Arunava Chakrabarti , Rudolf A. Römer

Disordered optical fibers show novel waveguiding properties, enabled by the transverse Anderson localization of light, and are used for image transport. The strong transverse scattering from the transversely disordered refractive index…

Optics · Physics 2020-01-08 Arash Mafi , John Ballato , Karl W. Koch , Axel Schulzgen

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

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov