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We study the lattice dynamics of antiferromagnetic transition-metal oxides by using self-consistent Hubbard functionals. We calculate the ground states of the oxides with the on-site and intersite Hubbard interactions determined…

Strongly Correlated Electrons · Physics 2022-06-01 Wooil Yang , Bo Gyu Jang , Young-Woo Son , Seung-Hoon Jhi

We study the atomic and electronic structures of ferroelectric perovskite oxides, BaTiO$_3$, LiNbO$_3$, and PbTiO$_3$ using ab initio extended Hubbard functionals in which the on-site and inter-site Hubbard interactions are determined…

Materials Science · Physics 2025-07-30 Min Chul Choi , Wooil Yang , Young-Woo Son , Se Young Park

A first-principles computational method with self-consistent on-site and inter-site Hubbard functionals is able to treat local and non-local Coulomb interactions on an equal footing. To apply the method to understand solids with strong…

Materials Science · Physics 2024-10-17 Wooil Yang , Young-Woo Son

In this article, we propose an energy functional at the level of DFT+U+V that allows us to compute self-consistently the values of the on-site interaction, Hubbard U and Hund J, as well as the intersite interaction V. This functional…

Strongly Correlated Electrons · Physics 2020-10-21 Nicolas Tancogne-Dejean , Angel Rubio

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

Superconductivity · Physics 2007-05-23 Eugene Pivovarov

We derive expressions for energy flow in terms of lattice normal mode coordinates and energy transmission involving reduced group velocities. With a version of Landauer formula appropriate for lattice dynamic approach, the phonon…

Statistical Mechanics · Physics 2007-05-23 Jian Wang , Jian-Sheng Wang

In the density-functional studies of materials with localized electronic states, the local/semilocal exchange-correlation functionals are often either combined with a Hubbard parameter $U$ as in the LDA+$U$ method or mixed with a fraction…

Materials Science · Physics 2014-07-24 Mehmet Aras , Çetin Kılıç

For fast and accurate calculations of band gaps of solids, we present an {\it ab initio} method that extends the density functional theory plus on-site Hubbard interaction (DFT+$U$) to include inter-site Hubbard interaction ($V$). This…

Materials Science · Physics 2021-01-14 Sang-Hoon Lee , Young-Woo Son

Internal energies, enthalpies, phonon dispersion curves, and superconductivity of atomic metallic hydrogen are calculated. The (standard) use pseudopotentials in density-functional theory are compared with full (Coulomb)-potential…

Materials Science · Physics 2019-12-05 Jin Zhang , Jeffrey M. McMahon

The ab initio computational method known as Hubbard-corrected density functional theory (DFT+$U$) captures well ground electronic structures of a set of solids that are poorly described by standard DFT alone. Since lattice dynamical…

Materials Science · Physics 2025-06-17 Wooil Yang , Sabyasachi Tiwari , Feliciano Giustino , Young-Woo Son

Lattice thermal conductivity of Cu$_2$O was studied using ab initio density functional methods. The performance of generalized gradient approximation, GGA-PBE, and PBE0 exchange-correlation functionals was compared for various electronic…

Materials Science · Physics 2017-08-01 J. Linnera , A. J. Karttunen

We study the complete extended Hubbard-Holstein Hamiltonian on a four-site chain with equally spaced sites, with spacing-dependent electronic interaction parameters evaluated in terms of Wannier functions built from Gaussian atomic…

Strongly Correlated Electrons · Physics 2009-10-31 Marcello Acquarone , Mario Cuoco , Canio Noce , Alfonso Romano

In semiconductors almost all heat is conducted by phonons (lattice vibrations), which is limited by their quasi-particle lifetimes. Phonon-phonon interactions represent scattering mechanisms that produce thermal resistance. In…

This article reviews the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudo-potential method. Several specialized topics are treated, including…

Materials Science · Physics 2009-10-31 S. Baroni , S. de Gironcoli , A. Dal Corso , P. Giannozzi

We present a systematic study that clarifies validity and limitation of current hybrid functionals in density functional theory for structural and electronic properties of various semiconductors and insulators. The three hybrid functionals,…

Materials Science · Physics 2015-03-19 Yu-ichiro Matsushita , Kazuma Nakamura , Atsushi Oshiyama

We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. We employ a recently developed fermionic…

Strongly Correlated Electrons · Physics 2017-03-08 D. Sánchez de la Peña , J. Lichtenstein , C. Honerkamp

The structural, dynamical, and thermodynamical properties of diamond, graphite and layered derivatives (graphene, rhombohedral graphite) are computed using a combination of density-functional theory (DFT) total-energy calculations and…

Materials Science · Physics 2009-11-10 Nicolas Mounet , Nicola Marzari

The effective on-site Coulomb interaction (Hubbard $U$) between 5$f$ electrons in actinide metals (Th-Cf) is calculated with the framework of density-functional theory (DFT) using linear response approach. The $U$ values seldom rely on the…

Materials Science · Physics 2020-01-14 Ruizhi Qiu , Bingyun Ao , Li Huang

We study the basic thermodynamic and electromagnetic properties of the superconductor described by the negative-$U$ Hubbard model (gap parameter $\Delta$, critical temperature $T_c$, London penetration depth $\lambda$, thermodynamic…

Superconductivity · Physics 2016-08-31 W. R. Czart , T. Kostyrko , S. Robaszkiewicz

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva
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