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We present IrRep - a Python code that calculates the symmetry eigenvalues of electronic Bloch states in crystalline solids and the irreducible representations under which they transform. As input it receives bandstructures computed with…

Quantum ESPRESSO is an integrated suite of computer codes for electronic-structure calculations and materials modeling, based on density-functional theory, plane waves, and pseudopotentials (norm-conserving, ultrasoft, and…

An exact analytical expression is derived for Bloch states in three dimensions, based on the only assumption that the electronic wavefunction can be expanded in terms of Gaussian type orbitals. The resulting expression features…

材料科学 · 物理学 2025-08-08 Emanuele Maggio

Extracting the complete quantum geometric and topological character of Bloch wavefunctions from experiments remains a challenge in condensed matter physics. Here, we resolve this by introducing the "wavefunction form factor" (WFF) matrix, a…

介观与纳米尺度物理 · 物理学 2026-01-16 Shaofeng Huang , Chen Fang

Quantum ESPRESSO is an integrated suite of open-source computer codes for quantum simulations of materials using state-of-the art electronic-structure techniques, based on density-functional theory, density-functional perturbation theory,…

We study the dynamics of electrons in crystalline solids in the presence of inhomogeneous external electric and magnetic fields. We present a manifestly gauge-invariant operator-based approach without relying on a semiclassical wavepacket…

介观与纳米尺度物理 · 物理学 2025-03-17 Chen Xu , Andreas Haller , Suraj Hegde , Tobias Meng , Thomas L. Schmidt

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…

材料科学 · 物理学 2015-05-20 Fawei Zheng , Ping Zhang , Wenhui Duan

We present an open-source program irvsp, to compute irreducible representations of electronic states for all 230 space groups with an interface to the Vienna ab-initio Simulation Package. This code is fed with plane-wave-based wavefunctions…

材料科学 · 物理学 2021-01-13 Jiacheng Gao , Quansheng Wu , Clas Persson , Zhijun Wang

Quantum geometry of Bloch wavefunctions has gained considerable interest with the discovery of moir\'e materials that exhibit bands flattened by quantum interference. The quantum metric, the symmetric part of the quantum geometric tensor,…

介观与纳米尺度物理 · 物理学 2025-04-02 Nishchhal Verma , Raquel Queiroz

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space.…

介观与纳米尺度物理 · 物理学 2021-02-15 Jennifer Cano , Barry Bradlyn

The link between chemical orbitals described by local degrees of freedom and band theory, which is defined in momentum space, was proposed by Zak several decades ago for spinless systems with and without time-reversal in his theory of…

介观与纳米尺度物理 · 物理学 2018-01-19 Jennifer Cano , Barry Bradlyn , Zhijun Wang , L. Elcoro , M. G. Vergniory , C. Felser , M. I. Aroyo , B. Andrei Bernevig

The irreducible representation of band structure is important for physical properties. Based on phonopy and recently developed SpaceGroupIrep package, we developed a package PhononIrep, which can get the band irreducible representation for…

材料科学 · 物理学 2022-01-31 Zeying Zhang , Zhi-Ming Yu , Gui-Bin Liu , Yugui Yao

The calculation of (co)irreducible representations of energy bands at high-symmetry points (HSPs) is essential for high-throughput research on topological materials based on symmetry-indicators or topological quantum chemistry. However,…

材料科学 · 物理学 2025-09-17 Liangliang Huang , Xiangang Wan , Feng Tang

In this paper electron-impurity scattering coefficient of Bloch waves for one dimensional Dirac comb potential is used for calculation of temperature dependence of resistivity within kinetic theory. We restrict ourselves by scattering on…

介观与纳米尺度物理 · 物理学 2016-11-30 Stepan Botman , Sergey Leble

Analytic representation formulas and power series are developed to describe the band structure inside periodic elastic crystals made from high contrast inclusions. We use source free modes associated with structural spectra to represent the…

偏微分方程分析 · 数学 2022-01-25 Robert Lipton , Ruchira Perera

Orbital magnetization, a key property arising from the orbital motion of electrons, plays a crucial role in determining the magnetic behavior of molecules and solids. Despite its straightforward calculation in finite systems, the…

We study the quadratic invariants of the elasticity tensor in the framework of its unique irreducible decomposition. The key point is that this decomposition generates the direct sum reduction of the elasticity tensor space. The…

其他凝聚态物理 · 物理学 2017-04-18 Yakov Itin

Bootstrap methods, initially developed for solving statistical and quantum field theories, have recently been shown to capture the discrete spectrum of quantum mechanical problems, such as the single particle Schr\"odinger equation with an…

介观与纳米尺度物理 · 物理学 2021-12-15 Serguei Tchoumakov , Serge Florens

We have developed a Mathematica program package SpaceGroupIrep which is a database and tool set for irreducible representations (IRs) of space group in BC convention, i.e. the convention used in the famous book "The mathematical theory of…

材料科学 · 物理学 2021-04-26 Gui-Bin Liu , Miao Chu , Zeying Zhang , Zhi-Ming Yu , Yugui Yao

Koopmans-compliant functionals provide an orbital-density-dependent framework for an accurate evaluation of spectral properties; they are obtained by imposing a generalized piecewise-linearity condition on the total energy of the system…

材料科学 · 物理学 2022-07-06 Riccardo De Gennaro , Nicola Colonna , Edward Linscott , Nicola Marzari
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