English
Related papers

Related papers: Potential energy surfaces from many-body functiona…

200 papers

Standard forms of density-functional theory (DFT) have good predictive power for many materials, but are not yet fully satisfactory for solid, liquid and cluster forms of water. We use a many-body separation of the total energy into its…

Materials Science · Physics 2013-03-05 M. J. Gillan , D. Alfè , A. P. Bartók , G. Csányi

In principle, many-electron correlation energy can be precisely computed from a reduced Wigner distribution function ($\mathcal{W}$) thanks to a universal functional transformation ($\mathcal{F}$), whose formal existence is akin to that of…

Chemical Physics · Physics 2019-01-23 Rutvij Vihang Bhavsar , Raghunathan Ramakrishnan

Common density-matrix functionals, the M\"uller and the power functional, have been benchmarked for the half-filled Hubbard dimer, which allows to model the bond dissociation problem and the transition from the weakly to the strongly…

Strongly Correlated Electrons · Physics 2016-03-09 Ebad Kamil , Robert Schade , Thomas Pruschke , Peter E. Blöchl

While ab initio many-body techniques have been able to successfully describe the properties of light and intermediate mass nuclei based on chiral effective field theory interactions, neutron-rich nuclei still remain out of reach for these…

Nuclear Theory · Physics 2020-01-08 R. Navarro Pérez , N. Schunck

Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calculations at two-particle level often suffer from large…

Strongly Correlated Electrons · Physics 2018-05-16 Hiroshi Shinaoka , Junya Otsuki , Kristjan Haule , Markus Wallerberger , Emanuel Gull , Kazuyoshi Yoshimi , Masayuki Ohzeki

The description of dynamics of strongly correlated quantum matter is a challenge, particularly in physical situations where a quasiparticle description is absent. In such situations, however, the many-body Kubo formula from linear response…

Strongly Correlated Electrons · Physics 2022-05-11 Aavishkar A. Patel , Hitesh J. Changlani

In Green's function theory, the total energy of an interacting many-electron system can be expressed in a variational form using the Klein or Luttinger-Ward functionals. Green's function theory also naturally addresses the case where the…

Materials Science · Physics 2025-08-26 Andrea Ferretti , Tommaso Chiarotti , Nicola Marzari

A three-body scattering theory previously proposed by one of the present authors is developed to be applied to the saturated ferromagnetic state in the two-dimensional Hubbard model. The single-particle Green's function is calculated by…

Strongly Correlated Electrons · Physics 2015-06-25 Jun-ichi Igarashi , Manabu Takahashi , Tatsuya Nagao

We present four-dimensional ab initio potential energy surfaces for the three spin states of the NH-NH complex. The potentials are partially based on the work of Dhont et al. [J. Chem. Phys. 123, 184302 (2005)]. The surface for the quintet…

Ground-state properties, such as energies and double occupancies, of a one-dimensional two-band Hubbard model are calculated using a first principles Gutzwiller conjugate gradient minimization theory. The favorable agreement with the…

Strongly Correlated Electrons · Physics 2023-01-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We combine the single site dynamical mean field theory (DMFT) with the non-local GW method. This is done fully self-consistently and we apply our formalism to a one-band Hubbard model. Eventually at self-consistency the full self-energy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Karlsson

We investigate equilibrium configurations for surface energies which contain the squared $L^2$ norm of the difference of the mean curvature H and the spontaneous curvature $c_o$ coupled with the elastic energy of the boundary curve, which…

Differential Geometry · Mathematics 2021-07-28 Bennett Palmer , Alvaro Pampano

An analysis of Luttinger's theorem shows that -- contrary to recent claims -- it is not valid for a generic Mott insulator. For a two-orbital Hubbard model with two electrons per site the crossover from a non-magnetic correlated insulating…

Strongly Correlated Electrons · Physics 2009-11-11 A. Rosch

A summary is presented of the properties of the coefficient matrices formed by expanding the two-body reduced density matrix in a complete set of two-electron wave functions. Calculating the relationship between the many electron wave…

Quantum Physics · Physics 2022-03-02 Nicholas Cox

An extended electron model fully recovers many of the experimental results of quantum mechanics while it avoids many of the pitfalls and remains generally free of paradoxes. The formulation of the many-body electronic problem here resembles…

Computational Physics · Physics 2018-12-03 Thomas Pope , Werner Hofer

While second-order phase transitions always cause strong non-local fluctuations, their effect on spectral properties crucially depends on the dimensionality. For the important case of three dimensions, we show that the electron self-energy…

Strongly Correlated Electrons · Physics 2015-03-18 T. Schäfer , A. Toschi , Jan M. Tomczak

We present a complete prescription for the numerical calculation of surface Green's functions and self-energies of semi-infinite quasi-onedimensional systems. Our work extends the results of Sanvito et al. [1] generating a robust algorithm…

Materials Science · Physics 2007-12-11 Ivan Rungger , Stefano Sanvito

While highly successful, density functional theory is known to have limitations owing to its neglect of many-body electron-electron interactions. This neglect leads to errors in the single-particle energies, leading to underestimated band…

Materials Science · Physics 2026-04-16 John Vinson , Terrence Jach , Rainer Unterumsberger , Michael A. Woodcox , Burkhard Beckhoff

We consider a general class of approximations which guarantees the conservation of particle number in many-body perturbation theory. To do this we extend the concept of $\Phi$-derivability for the self-energy $\Sigma$ to a larger class of…

Strongly Correlated Electrons · Physics 2016-09-15 Daniel Karlsson , Robert van Leeuwen

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…

Computational Physics · Physics 2025-10-20 Sayan Bhowmik , Andrew J. Medford , Phanish Suryanarayana