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We develop a computational workflow for high-throughput Wannierization of density functional theory (DFT) based electronic band structure calculations. We apply this workflow to 1771 materials, and we create a database with the resulting…

Materials Science · Physics 2020-07-03 Kevin F. Garrity , Kamal Choudhary

We present a scheme to controllably improve the accuracy of tight-binding Hamiltonian matrices derived by projecting the solutions of plane-wave ab initio calculations on atomic orbital basis sets. By systematically increasing the…

Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians, and play an important role for interpreting and accelerating Hartree-Fock and Kohn-Sham density functional theory calculations in quantum…

Computational Physics · Physics 2018-01-29 Anil Damle , Antoine Levitt , Lin Lin

We discuss the construction of low-energy tight-binding Hamiltonians for condensed matter systems with a strong coupling to the quantum electromagnetic field. Such Hamiltonians can be obtained by projecting the continuum theory on a given…

Strongly Correlated Electrons · Physics 2020-05-27 Jiajun Li , Denis Golez , Giacomo Mazza , Andrew Millis , Antoine Georges , Martin Eckstein

We revisit the classical problem of 3D shape interpolation and propose a novel, physically plausible approach based on Hamiltonian dynamics. While most prior work focuses on synthetic input shapes, our formulation is designed to be…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Marvin Eisenberger , Daniel Cremers

A new transform over finite fields, the finite field Hartley transform (FFHT), was recently introduced and a number of promising applications on the design of efficient multiple access systems and multilevel spread spectrum sequences were…

Numerical Analysis · Computer Science 2015-02-06 H. M. de Oliveira , R. G. F. Távora , R. J. Cintra , R. M. Campello de Souza

The marriage of density functional theory (DFT) and deep learning methods has the potential to revolutionize modern computational materials science. Here we develop a deep neural network approach to represent DFT Hamiltonian (DeepH) of…

Materials Science · Physics 2023-01-02 He Li , Zun Wang , Nianlong Zou , Meng Ye , Runzhang Xu , Xiaoxun Gong , Wenhui Duan , Yong Xu

We present optimized tight-binding models with atomic orbitals to improve \textit{ab initio} tight-binding models constructed by truncating full density functional theory (DFT) Hamiltonian based on localized orbitals. Retaining qualitative…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Sejoong Kim

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is a numerical technique for solving strongly coupled QFTs, in which the full Hilbert space is truncated to a finite-dimensional low-energy subspace. The accuracy of the method is…

High Energy Physics - Theory · Physics 2017-10-25 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

We present an automatic, high-order accurate, and adaptive Brillouin zone integration algorithm for the calculation of the optical conductivity with a non-zero but small broadening factor $\eta$, focusing on the case in which a Hamiltonian…

Materials Science · Physics 2024-06-25 Lorenzo Van Muñoz , Jason Kaye , Alex Barnett , Sophie Beck

Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of $\mathbf{k}$ points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport…

Materials Science · Physics 2021-02-22 Stepan S. Tsirkin

Maximally-localized Wannier functions are quantum wavefunctions resembling atomic orbitals that are used to describe electrons in condensed matter. Since their introduction in 1997, these functions have become ubiquitous in ab initio…

Computational Physics · Physics 2026-04-09 Sabyasachi Tiwari , Bruno Cucco , Viet-Anh Ha , Feliciano Giustino

In this paper, we propose a novel joint coding-modulation technique based on serial concatenation of orthogonal linear transform, such as discrete Fourier transform (DFT) or Walsh-Hadamard transform (WHT), with memoryless nonlinearity. We…

Information Theory · Computer Science 2018-01-22 Sergey V. Zhidkov

Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is an efficient numerical technique to solve strongly coupled QFTs in d=2 spacetime dimensions. Further theoretical developments are needed to increase its accuracy and the range…

High Energy Physics - Theory · Physics 2017-12-19 Joan Elias-Miro , Slava Rychkov , Lorenzo G. Vitale

Application of current and near-term quantum hardware to the electronic structure problem is highly limited by qubit counts, coherence times, and gate fidelities. To address these restrictions within the variational quantum eigensolver…

Quantum Physics · Physics 2020-11-24 Robert A. Lang , Ilya G. Ryabinkin , Artur F. Izmaylov

The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in reciprocal space that is computationally expensive and may have issues with band crossing…

In this paper, a new fast and low complexity transform is introduced for orthogonal frequency division multiplexing (OFDM) wireless systems. The new transform combines the effects of fast complex-Walsh-Hadamard transform (CHT) and the fast…

Signal Processing · Electrical Eng. & Systems 2023-10-30 Said Boussakta , Mounir T. Hamood , Mohammed Sh. Ahmed

The Hilbert-Huang transform (HHT) consists of empirical mode decomposition (EMD), which is a template-free method that represents the combination of different intrinsic modes on a time-frequency map (i.e., the Hilbert spectrum). The…

Instrumentation and Methods for Astrophysics · Physics 2025-06-05 Lupin Chun-Che Lin , Chin-Ping Hu , Chien-Chang Yen , Kuo-Chuan Pan , C. Y. Hui , Kwan-Lok Li , Yu-Chiung Lin , Yi-Sheng Huang , Albert K. H. Kong

The automation of ab initio simulations is essential in view of performing high-throughput (HT) computational screenings oriented to the discovery of novel materials with desired physical properties. In this work, we propose algorithms and…

We develop a biorthogonal linear-scaling algorithm for a transcorrelated method based on the localized nature of transformed orbitals. The transcorrelated method, which employs a similarity-transformed Hamiltonian referred to as a…

Strongly Correlated Electrons · Physics 2009-06-17 Masashi Kojo , Kikuji Hirose
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