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We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by…

介观与纳米尺度物理 · 物理学 2017-04-26 F. G. Eich , M. Di Ventra , G. Vignale

Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

化学物理 · 物理学 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

We examine the density-functional theory of macroscopic insulators, obtained in the large-cluster limit or under periodic boundary conditions. For polar crystals, we find that the two procedures are not equivalent. In a large-cluster case,…

材料科学 · 物理学 2009-10-28 X. Gonze , Ph. Ghosez , R. W. Godby

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates…

高能物理 - 理论 · 物理学 2008-11-26 Herman E. Boos , Frank Göhmann , Andreas Klümper , Junji Suzuki

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schroedinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix…

强关联电子 · 物理学 2008-02-03 Hyun Sik Noh , Sang Koo You , Chul Koo Kim

Ubiquitous Van der Waals interactions between atoms and molecules are important for many molecular and solid structures. These systems are often studied from first principles using the Density Functional Theory (DFT). However, the commonly…

材料科学 · 物理学 2009-11-13 Pier Luigi Silvestrelli

The construction of meta generalized gradient approximations based on the density matrix expansion (DME) is considered as one of the most accurate technique to design semilocal exchange energy functionals in two-dimensional density…

材料科学 · 物理学 2018-05-09 Abhilash Patra , Subrata Jana , Prasanjit Samal

A hybrid Kohn-Sham Density Functional Theory (KS-DFT) and 1-electron Reduced Density Matrix Functional Theory (1-RDMFT) has recently been developed to describe strongly correlated systems at mean-field computational cost. This approach…

计算物理 · 物理学 2025-04-14 Daniel Gibney , Jan-Niklas Boyn

It is shown that the integral of the product of the charge density difference of the N- and (N-1)-electron densities of the same Hamiltonian and the second functional derivative of the Hartree plus exchange-correlation functional of the…

材料科学 · 物理学 2011-08-26 Daniel P. Joubert

We generalize the treatment of the electronic spin degrees of freedom in density functional calculations to the case where the spin vector variables employed in the definition of the energy functional can vary in any direction in space. The…

其他凝聚态物理 · 物理学 2007-05-23 Juan E. Peralta , Gustavo E. Scuseria , Michael J. Frisch

We present a kinetic energy tensor that unifies a scalar kinetic energy density commonly used in meta-Generalized Gradient Approximation functionals and the vorticity density that appears in paramagnetic current-density-functional theory.…

化学物理 · 物理学 2018-11-14 Sangita Sen , Erik I. Tellgren

The Hartree-Fock exchange potential is fundamental for capturing quantum mechanical exchange effects but faces critical challenges in large-scale applications due to its nonlocal and computationally intensive nature. This study introduces a…

化学物理 · 物理学 2025-09-03 Fei Xu

We study the interactions between two negatively charged macroscopic surfaces confining positive counterions. A density-functional approach is introduced which, besides the usual mean-field interactions, takes into account the correlations…

软凝聚态物质 · 物理学 2015-06-25 A. Diehl , M. N. Tamashiro , Marcia C. Barbosa , Yan Levin

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

强关联电子 · 物理学 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

In electron density functional theory formal properties of density functionals play an important role in constructing and testing approximate functionals. In this paper it is shown that a set of density functionals satisfy an equation that…

材料科学 · 物理学 2011-08-09 Daniel P. Joubert

Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion (ICF) applications. The work horse of warm dense…

We present an accurate and efficient framework for real-space Hubbard-corrected density functional theory. In particular, we obtain expressions for the energy, atomic forces, and stress tensor suitable for real-space finite-difference…

计算物理 · 物理学 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana

The exchange-correlation (XC) functional in density functional theory is used to approximate multi-electron interactions. A plethora of different functionals is available, but nearly all are based on the hierarchy of inputs commonly…

DFT calculations yield useful ground-state energies and densities, while Green's function techniques (such as $GW$) are mostly used to produce spectral functions. From the Galitskii-Migdal formula, we extract the exchange-correlation of DFT…

化学物理 · 物理学 2024-03-13 Steven Crisostomo , E. K. U. Gross , Kieron Burke

To identify an analytical relation between the properties of polymers and their's monomer a Metal-Molecule-Metal (MMM) junction has been presented as an interesting and widely used object of research in which the molecule is a polymer which…

介观与纳米尺度物理 · 物理学 2016-08-16 Mohammad Nakhaee , S Ahmad Ketabi