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A robust, user-friendly, and automated method to determine quantum conductance in disordered quasi-one-dimensional systems is presented. The scheme relies upon an initial density- functional theory calculation in a specific geometry after…

计算物理 · 物理学 2015-03-17 Matthew Shelley , Nicolas Poilvert , Arash A Mostofi , Nicola Marzari

Maximally-localized Wannier functions (MLWFs) are widely employed as an essential tool for calculating the physical properties of materials due to their localized nature and computational efficiency. Projectability-disentangled Wannier…

材料科学 · 物理学 2025-11-25 Yuhao Jiang , Junfeng Qiao , Nataliya Paulish , Weisheng Zhao , Nicola Marzari , Giovanni Pizzi

We present a tight-binding calculation that, for the first time, accurately describes the structural, vibrational and elastic properties of amorphous silicon. We compute the interatomic force constants and find an unphysical feature of the…

材料科学 · 物理学 2009-11-10 J. L. Feldman , N. Bernstein , D. A. Papaconstantopoulos , M. J. Mehl

Maximally localized Wannier functions (MLWFs) are conventionally constructed by iteratively minimizing a spread functional over a high-dimensional gauge landscape. In this work, we present a non-variational constructive algorithm that…

材料科学 · 物理学 2026-05-15 Yuji Hamai , Katsunori Wakabayashi

We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

材料科学 · 物理学 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

Disorder plays a crucial role in many systems particularly in solid state physics. However, the disorder in a particular system can usually not be chosen or controlled. We show that the unique control available for ultracold atomic gases…

无序系统与神经网络 · 物理学 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , R. Tiemeyer , K. Sacha , J. Zakrzewski , M. Lewenstein , W. Ertmer , J. J. Arlt

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we…

无序系统与神经网络 · 物理学 2009-11-07 V. Uski , B. Mehlig , M. Schreiber

We introduce a Wannier-type formulation of periodic local vibrational mode theory that yields real-space-localized vibrational modes associated with individual internal coordinates in crystalline solids. These modes are constructed as…

材料科学 · 物理学 2026-05-12 Mateusz Mojsak , Elfi Kraka , Adam A. L. Michalchuk

Wannier functions have widespread utility in condensed matter physics and beyond. Topological physics, on the other hand, has largely involved the related notion of compactly-supported Wannier-type functions, which arise naturally in flat…

介观与纳米尺度物理 · 物理学 2025-05-21 Pratik Sathe , Rahul Roy

We present a new and efficient optimization method to determine the structure of disordered systems in agreement with available experimental data. Our approach permits the application of accurate electronic structure calculations within the…

材料科学 · 物理学 2014-06-23 Jan H. Los , Thomas D. Kühne

It is widely accepted in the materials modeling community that defect-free realistic networks of amorphous silicon cannot be prepared by quenching from a molten state of silicon using classical or ab initio molecular-dynamics (MD)…

无序系统与神经网络 · 物理学 2018-06-13 Raymond Atta-Fynn , Parthapratim Biswas

Localized Wannier functions provide an efficient and intuitive means by which to compute dielectric properties from first principles. They are most commonly constructed in a post-processing step, following total-energy minimization.…

材料科学 · 物理学 2012-05-16 David D. O'Regan , Mike C. Payne , Arash A. Mostofi

Tight-binding models for ultracold atoms in optical lattices can be properly defined by using the concept of maximally localized Wannier functions for composite bands. The basic principles of this approach are reviewed here, along with…

量子气体 · 物理学 2016-03-30 Michele Modugno , Julen Ibañez-Azpiroz , Giulio Pettini

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

光学 · 物理学 2012-08-23 D. Molinari , A. Fratalocchi

The weak localization (WL) contribution to the two-level correlation function is calculated for two-dimensional disordered conductors. Our analysis extends to the nondiffusive (ballistic) regime, where the elastic mean path is of order of…

介观与纳米尺度物理 · 物理学 2009-10-31 Assaf Ater , Oded Agam

Localization due to disorder has been one of the most intriguing theoretical concepts evolved in condensed matter. Here, we expand the theory of localization by considering two types of disorder at the same time, namely the original…

无序系统与神经网络 · 物理学 2023-03-03 Mouyang Cheng , Haoxiang Chen , Ji Chen

With its monoelemental composition, various crystalline forms and an inherently strong spin-orbit coupling, bismuth has been regarded as an ideal prototype material to expand our understanding of topological electronic structures. In…

We propose to observe Anderson localization of ultracold atoms in the presence of a random potential made of atoms of another species and trapped at the nodes of an optical lattice, with a filling factor less than unity. Such systems enable…

其他凝聚态物理 · 物理学 2009-11-10 U. Gavish , Y. Castin

Wannier functions that are maximally localized help in understanding many properties of crystalline materials. In the absence of topological obstructions, they are at least exponentially localized. In some cases such as flat-band…

介观与纳米尺度物理 · 物理学 2021-07-30 Pratik Sathe , Fenner Harper , Rahul Roy

In this paper, we study the localization phenomena in a slender cylinder composed of an incompressible hyperelastic material subjected to axial tension. We aim to construct the analytical solutions based on a three-dimensional setting and…

经典物理 · 物理学 2007-11-20 Huihui Dai , Yanhong Hao , Zhen Chen