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The understanding of the interaction of nucleons in nuclear and neutron-rich matter at non-zero temperature is important for a variety of applications ranging from heavy-ion collisions to nuclear astrophysics. In this paper we apply the…

Nuclear Theory · Physics 2009-08-14 Francesca Sammarruca

The electronic behavior of various solid metals (Al, Ni, Cu, Au, Ti, and W) under ultrashort laser irradiation is investigated by means of density functional theory. Successive stages of extreme nonequilibrium on picosecond time scale…

Materials Science · Physics 2014-04-04 Emile Bévillon , Jean-Philippe Colombier , Vanina Recoules , Razvan Stoian

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

For the Hirshfeld-I atom-in-molecule model, associated single-atom energies and interaction energies at the Hartree-Fock level are determined efficiently in one-electron Hilbert space. In contrast to most other approaches, the energy terms…

We have compared exact numerical results for the Lipkin model at finite temperature with Hartree-Fock theory and with the results of including in addition the ring diagrams. In the simplest version of the Lipkin model the Hartree-Fock…

Nuclear Theory · Physics 2009-10-22 S. Y. Tsay Tzeng , P. J. Ellis , T. T. S. Kuo , E. Osnes

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

Soft Condensed Matter · Physics 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

Density matrix perturbation theory [Niklasson and Challacombe, Phys. Rev. Lett. 92, 193001 (2004)] is generalized to canonical (NVT) free energy ensembles in tight-binding, Hartree-Fock or Kohn-Sham density functional theory. The canonical…

Chemical Physics · Physics 2015-12-09 Anders M. N. Niklasson , Marc J. Cawkwell , Emanuel H. Rubensson , Elias Rudberg

We study a strongly attractive system of a few spin-1/2 fermions confined in a one-dimensional harmonic trap, interacting via two-body contact potential. Performing exact diagonalization of the Hamiltonian we analyze the ground state and…

Quantum Gases · Physics 2015-02-02 Tomasz Sowiński , Mariusz Gajda , Kazimierz Rzążewski

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

While the exact total energy of a separated open system varies linearly as a function of average electron number between adjacent integers, the energy predicted by semi-local density functional approximations curves upward and the…

Using the Hamiltonian formulation of Composite Fermions developed recently, the temperature dependence of the spin polarization is computed for the translationally invariant fractional quantum Hall states at $\nu=1/3$ and $\nu=2/5$ in two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ganpathy Murthy

Understanding the thermodynamic properties of many-body quantum systems and their emergence from microscopic laws is a topic of great significance due to its profound fundamental implications and extensive practical applications. Recent…

Quantum Physics · Physics 2024-09-05 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

We review thermodynamic limits and scaling limits of electronic structure models for condensed matter. We discuss several mathematical ways to implement these limits in three models of increasing chemical complexity and mathematical…

Mathematical Physics · Physics 2023-09-12 David Gontier , Jianfeng Lu , Christoph Ortner

Time-dependent Hartree-Fock theory is used to describe density oscillations of symmetry-unrestricted two-dimensional nanostructures. In the small amplitude limit the results reproduce those obtained within a perturbative approach such as…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Antonio Puente , Llorenç Serra , Vidar Gudmundsson

We report new accurate mesasurements of the mobility of excess electrons in high density Helium gas in extended ranges of temperature $[(26\leq T\leq 77) K ]$ and density $[ (0.05\leq N\leq 12.0) {atoms} \cdot {nm}^{-3}]$ to ascertain the…

Plasma Physics · Physics 2016-09-08 A. F. Borghesani , M. Santini

Effects of explicit temperature dependence in the exchange-correlation (XC) free-energy functional upon calculated properties of matter in the warm dense regime are investigated. The comparison is between the KSDT finite-temperature local…

Materials Science · Physics 2016-06-29 Valentin V. Karasiev , Lázaro Calderín , S. B. Trickey

The spherical Hartree-Fock approximation is applied to the $abinitio$ no-core shell model, with a realistic effective nucleon-nucleon interaction in order to investigate the range of its utility. Hartree-Fock results for binding energies,…

Nuclear Theory · Physics 2009-11-10 M. A. Hasan , J. P. Vary , P. Navratil

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

Quantum Physics · Physics 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

It was recently shown [Y. Suzuki, L. Lacombe, K. Watanabe, and N. T. Maitra, Phys. Rev. Lett. 119, 263401 (2017)] that peak and valley structures in the exact exchange-correlation potential of time-dependent density functional theory are…

Chemical Physics · Physics 2018-07-04 Lionel Lacombe , Yasumitsu Suzuki , Kazuyuki Watanabe , Neepa T. Maitra

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen