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The electronic ground state of a periodic crystalline solid is usually described in terms of extended Bloch orbitals; localized Wannier functions can alternatively be used. These two representations are connected by families of unitary…

材料科学 · 物理学 2009-10-31 Nicola Marzari , David Vanderbilt

The localized states within the Heisenberg model of magnetism should be represented by best localized Wannier functions forming a unitary transformation of the Bloch functions of the narrowest partly filled energy bands in the metals.…

超导电性 · 物理学 2009-10-31 Ekkehard Krüger

We have calculated the maximally-localized Wannier functions of MnO in its antiferromagnetic (AFM) rhombohedral unit cell, which contains two formula units. Electron Bloch functions are obtained with the linearized augmented plane-wave…

材料科学 · 物理学 2009-11-07 Michel Posternak , Alfonso Baldereschi , Sandro Massidda , Nicola Marzari

The paper presents the group theory of best localized and symmetry-adapted Wannier functions in a crystal of any given space group G or magnetic group M. Provided that the calculated band structure of the considered material is given and…

强关联电子 · 物理学 2015-05-22 Ekkehard Krüger , Horst P. Strunk

Motivated by recent developments in quantum simulation of synthetic dimensions, e.g. in optical lattices of ultracold atoms, we discuss here $d$-dimensional periodic, gapped quantum systems for $d \le 4$, with focus on the topology of the…

数学物理 · 物理学 2023-02-06 Domenico Monaco , Thaddeus Roussigné

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

We develop the symmetry classification of superconducting gap functions in electron bands that do not transform under the crystal point group operations like the pure spin-1/2 states. The Bloch state bases in twofold degenerate bands with…

超导电性 · 物理学 2019-08-14 K. V. Samokhin

We present an elaborate electron-spin resonance study of the low-energy dynamics and magnetization in the ordered phase of the magnetically frustrated spinel ZnCr$_2$O$_4$. We observe several resonance modes corresponding to different…

强关联电子 · 物理学 2010-11-29 V. N. Glazkov , A. M. Farutin , V. Tsurkan , H. -A. Krug von Nidda , A. Loidl

With its monoelemental composition, various crystalline forms and an inherently strong spin-orbit coupling, bismuth has been regarded as an ideal prototype material to expand our understanding of topological electronic structures. In…

The construction of Wannier functions from Bloch orbitals offers a unitary freedom that can be exploited to yield Wannier functions with advantageous properties. Minimizing the spatial variance is a well-known choice; another, previously…

材料科学 · 物理学 2026-04-29 Aaron Mahler , Jacob Z. Williams , Neil Qiang Su , Weitao Yang

The construction of exponentially localized Wannier functions for a set of bands requires a choice of Bloch-like functions that span the space of the bands in question, and are smooth and periodic functions of k in the entire Brillouin…

介观与纳米尺度物理 · 物理学 2016-02-03 Georg W. Winkler , Alexey A. Soluyanov , Matthias Troyer

In this work we have investigated the orthorhombic to tetragonal phase transition in the Ba2Cu3O4Cl2 compound. This transition was observed by X-ray powder diffractometry carried out in samples heat treated between 700 and 750OC and also in…

材料科学 · 物理学 2007-05-23 M. S. da Luz , C. A. M. dos Santos , B. Ferreira , A. J. S. Machado

This letter extends my recent paper on antiferromagnetic NiO [Structural Distortion Stabilizing the Antiferromagnetic and Insulating Ground State of NiO, Symmetry 2020, 12(1), 56] by including also the paramagnetic phase of this compound. I…

强关联电子 · 物理学 2020-11-25 Ekkehard Krüger

We discuss a method for determining the optimally-localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid. By ``generalized Wannier functions'' we mean a set of localized orthonormal…

材料科学 · 物理学 2009-10-30 Nicola Marzari , David Vanderbilt

A world-volume model of non-critical 3-brane is quantized in a strong coupling phase where fluctuations of the conformal mode become dominant. This phase, called the conformal-mode dominant phase, is realized at the very high energy far…

高能物理 - 理论 · 物理学 2009-11-10 Ken-ji Hamada , Shinichi Horata

An elementary model of La2-xSrxCuO4 explaining the features of its superconducting phase diagram and the characteristics of spin textures without any assumption of stripe formation is proposed. The foundations of this model are the…

超导电性 · 物理学 2007-05-23 K. V. Mitsen , O. M. Ivanenko

Microscopic mechanisms of the puzzling insulating ferromagnetism of half-filled La$_{4}$Ba$_{2}$Cu$_{2}$O$_{10}$ are elucidated with energy-resolved Wannier states. The dominant magnetic coupling, revealed through evaluated parameters ($t$,…

材料科学 · 物理学 2009-11-07 Wei Ku , H. Rosner , W. E. Pickett , R. T. Scalettar

We investigate the interplay of band structure topology and localization properties of Wannier functions. To this end, we extend a recently proposed compressed sensing based paradigm for the search for maximally localized Wannier functions…

介观与纳米尺度物理 · 物理学 2014-09-12 J. C. Budich , J. Eisert , E. J. Bergholtz , S. Diehl , P. Zoller

A first-principles study of the vibrational modes of PbTiO_3 in the ferroelectric tetragonal phase has been performed at all the main symmetry points of the Brillouin zone (BZ). The calculations use the local-density approximation and…

mtrl-th · 物理学 2009-10-30 Alberto Garcia , David Vanderbilt

We report evidence that the experimentally found antiferromagnetic structure as well as the semiconducting ground state of BaMn$_2$As$_2$ are caused by optimally-localized Wannier states of special symmetry existing at the Fermi level of…

强关联电子 · 物理学 2016-09-29 Ekkehard Krüger
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