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We describe a real-space approach to the calculation of the properties of an insulating crystal in an applied electric field, based on the iterative determination of the Wannier functions (WF's) of the occupied bands. It has been recently…

Condensed Matter · Physics 2009-10-22 R. W. Nunes , David Vanderbilt

We propose Lagrangian Descriptors (LDs) as a diagnostic framework for evaluating neural network models of Hamiltonian systems beyond conventional trajectory-based metrics. Standard error measures quantify short-term predictive accuracy but…

Machine Learning · Computer Science 2026-04-02 Abrari Noor Hasmi , Haralampos Hatzikirou , Hadi Susanto

We propose an improved scheme to construct many-body trial wave functions for fractional Chern insulators (FCI), using one-dimensional localized Wannier basis. The procedure borrows from the original scheme on a continuum cylinder, but is…

Strongly Correlated Electrons · Physics 2012-08-30 Yang-Le Wu , N. Regnault , B. Andrei Bernevig

Bands with non-trivial topological indices have a topological obstruction preventing them from being represented by exponentially localized Wannier states. Here, we propose a procedure to construct exponentially localized Wannier functions…

Mesoscale and Nanoscale Physics · Physics 2025-05-29 Trey Cole , David Vanderbilt

Self-consistent computations of the potential profile in complex semiconductor heterostructures can be successfully applied for comprehensive simulation of the gain and the absorption spectra, for the analysis of the capture, escape,…

Other Condensed Matter · Physics 2009-11-10 Ivan Safonov , Aleksey Shulika , Igor Sukhoivanov , Volodimir Lysak

Understanding the mechanical properties of solid-state materials at the atomic scale is crucial for developing novel materials. For example, amorphous LiSi alloys are attractive anode materials for solid-state Li-ion batteries but face…

Disordered Systems and Neural Networks · Physics 2024-02-15 Zixiong Wei , Nongnuch Artrith

Machine learning force fields (MLFFs) have emerged as a sophisticated tool for cost-efficient atomistic simulations approaching DFT accuracy, with recent message passing MLFFs able to cover the entire periodic table. We present an invariant…

A systematic method is presented for constructing effective Hamiltonians for general phonon-related structural transitions. The key feature is the application of group theoretical methods to identify the subspace in which the effective…

mtrl-th · Physics 2009-10-28 K. M. Rabe , U. V. Waghmare

A recently proposed ab initio Hartree-Fock approach aimed at directly obtaining the Wannier functions of a crystalline insulator is applied to polymers. The systems considered are the LiH chain and trans-polyacetylene. In addition to being…

Condensed Matter · Physics 2009-10-31 Alok Shukla , Michael Dolg , Hermann Stoll

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…

The numerical cost of variational methods suggests using perturbative approaches to determine the electronic structure of molecular systems. In this work, a sequential construction of effective Hamiltonians drives the definition of…

Chemical Physics · Physics 2024-08-30 Oussama Bindech , Bastien Valentin , Saad Yalouz , Vincent Robert

High-throughput methods enable accelerated discovery of novel materials in complex systems such as high-entropy alloys, which exhibit intricate phase stability across vast compositional spaces. Computational approaches, including Density…

We introduce an automated workflow for generating non-empirical Wannier-localized optimally-tuned screened range-separated hybrid (WOT-SRSH) functionals. WOT-SRSH functionals have been shown to yield highly accurate fundamental band gaps,…

We construct a Wannier basis for twisted bilayer graphene that is projected only from the Bloch functions of the twisted bilayer flat bands. The $C_3$ and $C_{2} \mathcal{T}$ symmetries act locally on the Wannier functions while the Wannier…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Jiawei Zang , Jie Wang , Antoine Georges , Jennifer Cano , Andrew J. Millis

We present a computational scheme to study spin excitations in magnetic materials from first principles. The central quantity is the transverse spin susceptibility, from which the complete excitation spectrum, including single-particle…

Materials Science · Physics 2010-03-04 Ersoy Sasioglu , Arno Schindlmayr , Christoph Friedrich , Frank Freimuth , Stefan Blügel

Moir\'{e} superlattices (MSLs) in van der Waals (vdW) heterostructures have demonstrated their incredible power in driving emergent electronic phenomena, some of which are reminiscent of those usually only observed in bulk strongly…

Strongly Correlated Electrons · Physics 2025-02-11 Fabian Eickhoff , Jian-Xin Zhu , Benedikt Fauseweh

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

Applications of Structural Health Monitoring (SHM) combined with Machine Learning (ML) techniques enhance real-time performance tracking and increase structural integrity awareness of civil, aerospace and automotive infrastructures. This…

White matter hyperintensities (WMH) are commonly found in the brains of healthy elderly individuals and have been associated with various neurological and geriatric disorders. In this paper, we present a study using deep fully convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-09-20 Hongwei Li , Gongfa Jiang , Jianguo Zhang , Ruixuan Wang , Zhaolei Wang , Wei-Shi Zheng , Bjoern Menze

We present a code-independent compact representation of one-electron wavefunctions and other volumetric data (electron density, electrostatic potential, etc.) produced by electronic-structure calculations. The compactness of the…

Materials Science · Physics 2019-02-08 Sergey V. Levchenko , Matthias Scheffler