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A general method is presented to unfold band structures of first-principles super-cell calculations with proper spectral weight, allowing easier visualization of the electronic structure and the degree of broken translational symmetry. The…

Materials Science · Physics 2010-06-29 Wei Ku , Tom Berlijn , Chi-Cheng Lee

Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to systems with defects, disorder, incommensurate modulations, or…

Materials Science · Physics 2026-05-08 Christopher A. Bairnsfather , Ralph M. Kaufmann , Terry A. Loring , Alexander Cerjan

Unfolding the band structure of a supercell to a normal cell enables us to investigate how symmetry breakers such as surfaces and impurities perturb the band structure of the normal cell. We generalize the unfolding method, originally…

Materials Science · Physics 2013-08-07 Chi-Cheng Lee , Yukiko Yamada-Takamura , Taisuke Ozaki

Unfolding of a supercell band structure into a primitive Brillouin zone is important for understanding implications of structural distortions, disorder, defects, solid solutions on materials electronic structure. Necessity of the band…

Computational Physics · Physics 2023-07-28 Oleg Rubel , Jean-Baptiste Moussy , Paul Foulquier , Véronique Brouet

We present a simple view on band unfolding of the energy bands obtained from supercell calculations. It relies on the relationship between the local density of states in reciprocal space (qLDOS) and the fully unfolded band structure. This…

Materials Science · Physics 2020-01-24 Sara G. Mayo , Felix Yndurain , Jose M. Soler

The electronic band structure, describing the periodic dependence of electronic quantum states on lattice momentum in reciprocal space, is a fundamental concept in solid-state physics. However, it's only well-defined for static nuclei. To…

Modern computing facilities grant access to first-principles density-functional theory study of complex physical and chemical phenomena in materials, that require large supercell to properly model the system. However, supercells are…

Materials Science · Physics 2021-06-24 David Dirnberger , Georg Kresse , Cesare Franchini , Michele Reticcioli

We revisit the problem that relevant parts of bandstructures for a given cell choice can reflect exact or approximate higher symmetries of subsystems in the cell and can therefore be significantly simplified by an unfolding procedure that…

Strongly Correlated Electrons · Physics 2014-11-13 Milan Tomić , Harald O. Jeschke , Roser Valentí

Supercells are often used in ab initio calculations to model compound alloys, surfaces and defects. One of the main challenges of supercell electronic structure calculations is to recover the Bloch character of electronic eigenstates…

Materials Science · Physics 2014-09-12 O. Rubel , A. Bokhanchuk , S. J. Ahmed , E. Assmann

The band-unfolding method is widely used to calculate the effective band structures of a disordered system from its supercell model. The unfolded band structures show the crystallographic symmetry of the underlying structure, where the…

Materials Science · Physics 2017-01-18 Yuji Ikeda , Abel Carreras , Atsuto Seko , Atsushi Togo , Isao Tanaka

We introduce a program named KPROJ that unfolds the electronic and phononic band structure of materials modeled by supercells. The program is based on the $\textit{k}$-projection method, which projects the wavefunction of the supercell onto…

Materials Science · Physics 2025-04-17 Jiaxin Chen , M. Weinert , Mingxing Chen

In this article, the electronic band structure $\beta-(Al_xGa_{1-x})_2O_3$ alloy system is calculated with $\beta-Ga_2O_3$ as the bulk crystal. The technique of band unfolding is implemented to obtain the effective bandstructure…

Materials Science · Physics 2022-07-18 Ankit Sharma , Uttam Singisetti

We describe procedures to obtain the electronic structure of disordered systems using either tight binding like models or quite directly from ab inito density functional band structure calculations. The band structure is calculated using…

Materials Science · Physics 2011-09-20 M. W. Haverkort , I. S. Elfimov , G. A. Sawatzky

One of the most remarkable characteristics of topological materials is that they have special surface states, which are determined by the topological properties of their bulk materials. The angle resolved photoemission spectroscopy (ARPES)…

Materials Science · Physics 2022-03-04 Zujian Dai , Gan Jin , Lixin He

Quantum computers promise to revolutionize our ability to simulate molecules, and cloud-based hardware is becoming increasingly accessible to a wide body of researchers. Algorithms such as Quantum Phase Estimation and the Variational…

Quantum Physics · Physics 2021-12-21 Kyle Sherbert , Frank Cerasoli , Marco Buongiorno Nardelli

We propose a novel periodicity-free unfolding method of the electronic energy spectra. Our new method solves a serious problem that calculated electronic band structure strongly depends on the choice of the simulation cell, i.e.,…

Materials Science · Physics 2017-07-12 Taichi Kosugi , Hirofumi Nishi , Yasuyuki Kato , Yu-ichiro Matsushita

A method to analyze optical transitions is developed by combining the Kubo-Greenwood formula with the unfolding method to construct an unfolded electronic band structure with optical transition weights, which allows us to investigate how…

Materials Science · Physics 2020-08-31 Yung-Ting Lee , Chi-Cheng Lee , Masahiro Fukuda , Taisuke Ozaki

We present Quantum Unfolding, a Fortran90 program for unfolding first-principles electronic energy bands. It unfolds energy bands accurately by handling the Fourier components of Bloch wavefunctions, which are reconstructed from Wannier…

Materials Science · Physics 2015-05-20 Fawei Zheng , Ping Zhang , Wenhui Duan

While the methodology of band structure unfolding has appeared in several publications, the original derivations of the unfolding formulas can be considerably simplified by using the $k$-projection method. In this work, more transparent…

Materials Science · Physics 2015-07-21 M. Farjam

Band structure is a cornerstone to understand electronic properties of materials. Accurate band structure calculations using a high-level quantum-chemistry theory can be computationally very expensive. It is promising to speed up such…

Quantum Physics · Physics 2021-09-13 Yi Fan , Jie Liu , Zhenyu Li , Jinlong Yang
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