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In this work, we address the question of calculating the local effective Coulomb interaction matrix in materials with strong electronic Coulomb interactions from first principles. To this purpose, we implement the constrained random phase…

Strongly Correlated Electrons · Physics 2012-10-22 Loig Vaugier , Hong Jiang , Silke Biermann

Transition metal dichalcogenide (TMD) moir\'e heterostructures provide an ideal platform to explore the extended Hubbard model1 where long-range Coulomb interactions play a critical role in determining strongly correlated electron states.…

Explicit predictions for Scanning Tunneling Microscopy (STM) on interacting one-dimensional electron systems are made using the Luttinger liquid formalism. The STM current changes with distance from an impurity or boundary in a…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert

The effective on-site Coulomb interaction (Hubbard $U$) between localized \textit{d} electrons in 3\textit{d}, 4\textit{d}, and 5\textit{d} transition metals is calculated employing a new parameter-free realization of the constrained…

Strongly Correlated Electrons · Physics 2015-05-27 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the interaction parameters of such models taking into…

Strongly Correlated Electrons · Physics 2020-08-05 Tuomas I. Vanhala , Lode Pollet

The Hubbard on-site repulsion $U$ between opposite spin electrons on the same atomic orbital is widely regarded to be the most important source of electronic correlation in solids. Here we extend the Hubbard model to account for the fact…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

We investigate the effect of on-site Coulomb repulsion $U$ on the band gap of the electrically gated bilayer graphene by employing coherent potential approximation in the paramagnetic state, based on an ionic two-layer Hubbard model. We…

Strongly Correlated Electrons · Physics 2016-03-17 Jin-Rong Xu , Ze-Yi Song , Hai-Qing Lin , Yu-Zhong Zhang

Strongly interacting fermionic atoms on optical lattices are studied through a Hubbard-like model Hamiltonian, in which tunneling rates of atoms and molecules between neighboring sites are assumed to be different. In the limit of large…

Other Condensed Matter · Physics 2010-05-25 Alberto Anfossi , Luca Barbiero , Arianna Montorsi

We propose a novel experimental probe for cold atomic gases analogous to the scanning tunnelling microscope (STM) in condensed matter. This probe uses the coherent coupling of a single particle to the system. Depending on the measurement…

Strongly Correlated Electrons · Physics 2008-03-01 Corinna Kollath , Michael Köhl , Thierry Giamarchi

Former results for a Tight-Binding (TB) model of CuO planes in La2CuO4 are reinterpreted here to underline their wider implications. It is noted that physical systems being appropriately described by the TB model can exhibit the main…

Superconductivity · Physics 2013-09-12 A. Cabo Montes de Oca , N. H. March , A. Cabo-Bizet

The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The…

We derive the Hamiltonian for trilayer moir\'e systems with the Coulomb interaction projected onto the bands near the charge neutrality point. Motivated by the latest experimental results, we focus on the twisted symmetric trilayer graphene…

Strongly Correlated Electrons · Physics 2021-05-19 Dumitru Călugăru , Fang Xie , Zhi-Da Song , Biao Lian , Nicolas Regnault , B. Andrei Bernevig

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 report on a non-perturbative approach to the 1D and 2D Hubbard models that is capable of recovering both strong and weak-coupling limits. We first show that even when the on-site Coulomb repulsion, U, is much smaller than the bandwith,…

Condensed Matter · Physics 2009-11-07 Tudor D. Stanescu , Philip Phillips

We present a fast and efficient tight-binding (TB) method for simulating scanning tunneling microscopy (STM) imaging of adsorbate molecules on ultrathin insulating films. Due to the electronic decoupling of the molecule from the metal…

Materials Science · Physics 2015-05-13 Antti Korventausta , Sami Paavilainen , Eeva Niemi , Jouko Nieminen

We calculate the effective Coulomb interactions between holes in dimers of the organic molecule BEDT-TTF in vacuo. We use density functional theory (DFT) to parameterise Hubbard models for beta and kappa phase organic charge transfer salts.…

Strongly Correlated Electrons · Physics 2015-05-13 Edan Scriven , B. J. Powell

We introduce a scheme that combines photon-assisted tunneling by a moving optical lattice with strong Hubbard interactions, and allows for the quantum simulation of paradigmatic quantum many-body models. We show that, in a certain regime,…

Quantum Gases · Physics 2015-10-27 A. Bermudez , D. Porras

The evaluation of electrostatic energy for a set of point charges in a periodic lattice is a computationally expensive part of molecular dynamics simulations (and other applications) because of the long-range nature of the Coulomb…

This paper provides an error estimate for the u-series method of the Coulomb interaction in molecular dynamics simulations. We show that the number of truncated Gaussians $M$ in the u-series and the base of interpolation nodes $b$ in the…

Numerical Analysis · Mathematics 2025-01-07 Jiuyang Liang , Zhenli Xu , Qi Zhou

The effective on-site Coulomb interaction (Hubbard $U$) between localized electrons at crystal surfaces is expected to be enhanced due to the reduced coordination number and reduced subsequent screening. By means of first principles…

Strongly Correlated Electrons · Physics 2015-06-11 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel
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