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The band structure, density of states, and the Fermi surface of a recently discovered superconductor, oxygen-deficient tungsten oxide WO$_{2.9}$ that is equivalent to W$_{20}$O$_{58}$, studied within the density functional theory (DFT) in…

超导电性 · 物理学 2021-02-04 A. A. Slobodchikov , I. A. Nekrasov , N. S. Pavlov , M. M. Korshunov

The ground state energy is great importance for studying the properties of a material. In this study, we computed both the Hartree-Fock approximation and the random phase approximation of the ground state energy. Considering the effect of…

材料科学 · 物理学 2023-04-05 Maolin Bo , Hanze Li , Zhihong Wang , Yunqian Zhong , Yao Chuang , ZhongKai Huang

The response of the Fermi energy to external perturbations governs key physical observables at metallic interfaces. Although this response admits a local formulation in terms of the Fukui function, its evaluation has traditionally been…

材料科学 · 物理学 2026-01-12 Théophane Bernhard , Andrea Grisafi

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

材料科学 · 物理学 2007-05-23 Werner A. Hofer , Krisztian Palotas

We present ground state calculations for low-density Fermi gases described by two model interactions, an attractive square-well potential and a Lennard-Jones potential, of varying strength. We use the optimized Fermi-Hypernetted Chain…

量子气体 · 物理学 2018-12-18 H. H. Fan , E. Krotscheck , T. Lichtenegger , D. Mateo , R. E. Zillich

The exact form of the kinetic energy functional has remained elusive in orbital-free models of density functional theory (DFT). This has been the main stumbling block for the development of a general-purpose framework on this basis. Here,…

介观与纳米尺度物理 · 物理学 2020-01-06 Thomas Pope , Werner Hofer

The sequence of ground state energy density at finite size, e_{L}, provides much more information than usually believed. Having at disposal e_{L} for short lattice sizes, we show how to re-construct an approximate quasi-particle dispersion…

量子物理 · 物理学 2015-03-17 Lorenzo Campos Venuti

We show that the local density of states (LDOS) of a wide class of tight-binding models has a weak body-order expansion. Specifically, we prove that the resulting body-order expansion for analytic observables such as the electron density or…

数学物理 · 物理学 2022-07-20 Jack Thomas , Huajie Chen , Christoph Ortner

We discuss the low-temperature behavior of the electronic self-energy in the vicinity of a ferromagnetic instability in two dimensions within the two-particle self-consistent approximation, functional renormalization group and Ward-identity…

强关联电子 · 物理学 2009-11-10 A. A. Katanin , A. P. Kampf , V. Yu. Irkhin

We consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential in the thermodynamic limit. We establish a second order lower bound for the ground state…

数学物理 · 物理学 2026-02-16 Emanuela L. Giacomelli

We proposed a formally exact, probabilistic method to assess the validity of the Thomas-Fermi potential for three-dimensional condensed matter systems where electron dynamics is constrained to the Fermi surface. Our method, which relies on…

材料科学 · 物理学 2024-06-25 Gionni Marchetti

We propose a fermion Chern-Simons field theory describing two- dimensional electrons in the lowest Landau level. This theory is constructed with a complete set of states, and the lowest Landau level constraint is enforced through a…

凝聚态物理 · 物理学 2009-10-28 Lizeng Zhang

We present a novel method, which we call dual minima hopping method (DMHM), that allows us to find the global minimum of the potential energy surface (PES) within density functional theory for systems where a fast but less accurate…

其他凝聚态物理 · 物理学 2009-11-11 Stefan Goedecker , Waldemar Hellmann , Thomas Lenosky

The effect of an oscillating electric field normal to a metallic surface may be described by an effective potential. This induced potential is calculated using semiclassical variants of the random phase approximation (RPA). Results are…

介观与纳米尺度物理 · 物理学 2016-08-31 Michael Wilkinson

We consider the numerical approximation of a continuum model of antiferromagnetic and ferrimagnetic materials. The state of the material is described in terms of two unit-length vector fields, which can be interpreted as the magnetizations…

数值分析 · 数学 2023-12-11 Hywel Normington , Michele Ruggeri

In this note, we discuss the effective mass of quasiparticles in finite sized $\nu = 1/2$ systems in the lowest Landau level, given a natural notion we have of the Fermi surface in these finite sized systems. The effective mass is related…

介观与纳米尺度物理 · 物理学 2008-02-03 A. Raghav Chari , F. D. M. Haldane

A procedure is described for efficiently finding the ground state energy and configuration for a Frenkel-Kontorova model in a periodic potential, consisting of N parabolic segments of identical curvature in each period, through a numerical…

统计力学 · 物理学 2009-10-30 T. Scheidsteger , H. Urbschat , R. B. Griffiths , H. J. Schellnhuber

We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interaction potentials. We recover a well-known expression for the…

数学物理 · 物理学 2021-08-04 Marco Falconi , Emanuela L. Giacomelli , Christian Hainzl , Marcello Porta

GW approximation is one of the most popular parameter-free many-body methods that goes beyond the limitations of the standard density functional theory (DFT) to determine the excitation spectra for moderately correlated materials and in…

材料科学 · 物理学 2023-12-12 Kristjan Haule , Subhasish Mandal

A simple, physically motivated, scaling hypothesis, which becomes exact in important limits, yields estimates for the ground-state energy of large, composed, systems in terms of the ground-state energy of its building blocks. The concept is…

强关联电子 · 物理学 2009-11-11 K. Capelle , L. N. Oliveira