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Complex bands $\vec{k}^{\perp}(E)$ in a semiconductor crystal, along a general direction $\vec{n}$, can be computed by casting Schr\"odinger's equation as a generalized polynomial eigenvalue problem. When working with primitive lattice…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Arvind Ajoy , Kota V R M Murali , Shreepad Karmalkar

We present a two-step method specifically tailored for band structure calculation of the small-angle moir\'{e}-pattern materials which contain tens of thousands of atoms in a unit cell. In the first step, the self-consistent field…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Tan Zhang , Nicolas Regnault , B. Andrei Bernevig , Xi Dai , Hongming Weng

We explore the band structure and ballistic electron transport in twisted bilayer $\textrm{MoS}_2$ using Density Functional Theory (DFT). The sphagetti like bands are unfolded to generate band structures in the primitive unit cell of the…

Materials Science · Physics 2016-09-21 Yaohua Tan , Fan Chen , Avik Ghosh

We present an efficient scheme for accurate electronic structure interpolations based on the systematically improvable optimized atomic orbitals. The atomic orbitals are generated by minimizing the spillage value between the atomic basis…

Materials Science · Physics 2015-05-20 Mohan Chen , G-C Guo , Lixin He

There have been significant recent advances in realizing bandstructures with geometrical and topological features in experiments on cold atomic gases. We provide an overview of these developments, beginning with a summary of the key…

Quantum Gases · Physics 2019-05-15 N. R. Cooper , J. Dalibard , I. B. Spielman

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…

The exploration of quantum phenomena in complex materials such as moir\'e superlattices is limited by the O(N^3) scaling of conventional electronic structure methods. Here we introduce a high-performance tight-binding framework that reduces…

Computational Physics · Physics 2026-01-21 Zichong Zhang , Shuze Zhu

The well-known spatial integration schemes in molecular electronic structure theory, immune to cusps and point singularities of some kind at atomic positions, use a set of weighting functions to split the integrand into a sum of…

Chemical Physics · Physics 2022-09-14 Dimitri N. Laikov

Complex band structure generalizes conventional band structure by also considering wavevectors with complex components. In this way, complex band structure describes both the bulk-propagating states from conventional band structure and the…

Materials Science · Physics 2017-07-20 Matthew G. Reuter

The design of periodic nanostructures allows to tailor the transport of photons, phonons, and matter waves for specific applications. Recent years have seen a further expansion of this field by engineering topological properties. However,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Vittorio Peano , Florian Sapper , Florian Marquardt

We consider the high energy physics unfolding problem where the goal is to estimate the spectrum of elementary particles given observations distorted by the limited resolution of a particle detector. This important statistical inverse…

Applications · Statistics 2015-11-18 Mikael Kuusela , Victor M. Panaretos

We present PYATB, a Python package designed for computing band structures and related properties of materials using the ab initio tight-binding Hamiltonian. The Hamiltonian is directly obtained after conducting self-consistent calculations…

Materials Science · Physics 2023-08-09 Gan Jin , ongsheng Pang , Yuyang Ji , Zujian Dai , Lixin He

Band alignment between two materials is of fundamental importance for multitude of applications. However, density functional theory (DFT) either underestimates the bandgap - as is the case with local density approximation (LDA) or…

We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

The band alignment of semiconductor-metal interfaces plays a vital role in modern electronics, but remains difficult to predict theoretically and measure experimentally. For interfaces with strong band bending a main difficulty originates…

A spectrally formulated finite element analysis based methodology has been proposed to calculate phononic band structure of reticulated honeycomb lattices having translationally invariant repetitive elements called unit cells. Bloch…

Materials Science · Physics 2015-09-30 Sushovan Mukherjee , S. Gopalakrishnan

Recent realizations of exotic topological states in condensed matter and cold atoms have advanced the exploration for topological characteristics, such as invariant topological orders and band inversion. Here we construct a 1D optical…

Optics · Physics 2018-09-14 Jun Jiang , Zhiwei Guo , Weiwei Zhu , Yang Long , Haitao Jiang , Jie Ren , Hong Chen

We review the simple linear muffin-tin orbital method in the atomic-spheres approximation and a tight-binding representation (TB-LMTO-ASA method), and show how it can be generalized to an accurate and robust Nth order muffin-tin orbital…

Condensed Matter · Physics 2009-09-25 O. K. Andersen , T. Saha-Dasgupta , R. W. Tank , C. Arcangeli , O. Jepsen , G. Krier

Space group theory is pivotal in the design of nanophotonics devices, enabling the characterization of periodic optical structures such as photonic crystals. The aim of this study is to extend the application of nonsymmorphic space groups…

Optics · Physics 2025-06-02 Lida Liu , Jingwei Wang , Yuhao Jing , Songzi Lin , Zhongfei Xiong , Yuntian Chen

Unfolding is an ill-posed inverse problem in particle physics aiming to infer a true particle-level spectrum from smeared detector-level data. For computational and practical reasons, these spaces are typically discretized using histograms,…

Applications · Statistics 2022-10-19 Michael Stanley , Pratik Patil , Mikael Kuusela