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Complete orthonormal sets of exponential-type orbitals with non-integer principal quantum numbers are discussed as basis functions in non-relativistic Hartree-Fock-Roothaan electronic structure calculations of atoms. A method is proposed to…

Quantum Physics · Physics 2025-07-08 Ali Bagci , Philip E. Hoggan

We present a technique for partitioning the total energy from a semi-local density functional theory calculation into contributions from individual electronic states in a localized Wannier basis. We use our technique to reveal the key role…

Materials Science · Physics 2025-10-15 Ethan T. Ritz , Guru Khalsa , Hsin-Yu Ko , Ju-an Zhang , Robert A. DiStasio , Nicole A. Benedek

We study the conduction band spin splitting that arises in transition metal dichalcogenide (TMD) semiconductor monolayers such as MoS$_2$, MoSe$_2$, WS$_2$ and WSe$_2$ due to the combination of spin-orbit coupling and lack of inversion…

Materials Science · Physics 2014-01-01 K. Kośmider , J. W. González , J. Fernández-Rossier

The paper reports on a theoretical description of work function of TiN, which is one of the most used materials for the realization of electrodes and gates in CMOS devices. Indeed, although the work function is a fundamental quantity in…

Materials Science · Physics 2021-02-18 Arrigo Calzolari , Alessandra Catellani

The most popular electronic structure method, the linear muffin-tin orbital method (LMTO), in its full-potential (FP) and relativistic forms has been extended to calculate the spectroscopic properties of materials form first principles,…

Materials Science · Physics 2007-05-23 M. Alouani , J. M. Wills

We report a detailed theoretical study of the structural, vibrational, and optical properties of solid nitromethane using first principles density functional calculations. The ground state properties were calculated using a plane wave…

Materials Science · Physics 2015-06-17 S. Appalakondaiah , G. Vaitheeswaran , S. Lebegue

The hallmark of topological crystalline insulators is the emergence of a robust electronic state in a bandgap localized at the boundary of the material. However, end, edge, and surface states can also have a nontopological origin.…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 R. A. M. Ligthart , M. A. J. Herrera , A. Visser , A. Vlasblom , D. Bercioux , I. Swart

A method to calculate the effective spin Hamiltonian for a transition metal impurity in a non- magnetic insulating host is presented and applied to the paradigmatic case of Fe in MgO. In a first step we calculate the electronic structure…

Mesoscale and Nanoscale Physics · Physics 2015-04-03 Alejandro Ferrón , Fernando Delgado , Joaquín Fernández-Rossier

Wigner functions are broadly used to probe non-classical effects in the macroscopic world. Here we develop an orbital-free functional framework to compute the 1-body Wigner quasi-probability for both fermionic and bosonic systems. Since the…

Strongly Correlated Electrons · Physics 2024-01-18 Carlos L. Benavides-Riveros

Typical Wannier-function downfolding starts with a mean-field or density functional set of bands to construct the Wannier functions. Here we carry out a controlled approach, using DMRG-computed natural orbital bands, to downfold the…

Strongly Correlated Electrons · Physics 2023-10-25 Shengtao Jiang , Douglas J. Scalapino , Steven R. White

High-order topological insulators (HOTIs), as generalized from topological crystalline insulators (TCIs), are characterized with lower-dimensional metallic boundary states protected by spatial symmetries of a crystal, whose theoretical…

Materials Science · Physics 2022-08-02 Citian Wang , Feng Liu , Huaqing Huang

The most general way to describe localized atomic-like electronic states in strongly correlated compounds is to utilize Wannier functions. In the present paper we continue the development of widely-spread DFT+U method onto Wannier function…

Strongly Correlated Electrons · Physics 2015-09-02 D. Novoselov , Dm. M. Korotin , V. I. Anisimov

Recent experimental discovery of fractional Chern insulators at zero magnetic field in moir\'e superlattices has sparked intense interests in bringing Landau level physics to flat Chern bands. In twisted MoTe$_2$ bilayers (tMoTe$_2$),…

Strongly Correlated Electrons · Physics 2025-02-25 Chong Wang , Xiao-Wei Zhang , Xiaoyu Liu , Jie Wang , Ting Cao , Di Xiao

We present an overview of the role of generating functions in quantum mechanical contexts, mainly in the modern theory of polarization and in the study of quantum phase transitions. Generating functions enable the derivation of moments and…

Quantum Physics · Physics 2026-04-21 Balázs Hetényi

Density functional theory and molecular dynamics simulations have been used to optimize the structure of nanowires of SiO2. The starting structures were based on b-cristobalite, orthotridymite, b-tridymite, and rutile crystals. The analysis…

Materials Science · Physics 2012-08-02 José I. Martínez , Federico Calle-Vallejo , Clifford M. Krowne , Julio A. Alonso

We present a general method of constructing maximally localized Wannier functions. It consists of three steps: (1) picking a localized trial wave function, (2) performing a full band projection, and (3) orthonormalizing with the Lowdin…

Other Condensed Matter · Physics 2017-01-11 Junbo Zhu , Zhu Chen , Biao Wu

We present a spin-dependent extension of the non-orthogonal generalized Wannier function (NGWF) formalism within the framework of linear-scaling density functional theory (LS-DFT) as implemented in the ONETEP code. In traditional LS-DFT…

Boundary obstructed topological insulators are an unusual class of higher-order topological insulators with topological characteristics determined by the so-called Wannier bands. Boundary obstructed phases can harbor hinge/corner modes, but…

Disordered Systems and Neural Networks · Physics 2020-10-07 Jahan Claes , Taylor L. Hughes

For a class of closed manifolds N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T*N. These restrict to homogeneous quasi-morphisms on the subgroup generated by Hamiltonians with support in a given…

Symplectic Geometry · Mathematics 2011-10-25 Alexandra Monzner , Nicolas Vichery , Frol Zapolsky

Flat electronic bands are expected to show proportionally enhanced electron correlations, which may generate a plethora of novel quantum phases and unusual low-energy excitations. They are increasingly being pursued in $d$-electron-based…

Strongly Correlated Electrons · Physics 2024-06-21 Lei Chen , Fang Xie , Shouvik Sur , Haoyu Hu , Silke Paschen , Jennifer Cano , Qimiao Si