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We present a method for calculating the full counting statistics of a nonequilibrium quantum system based on the propagator noncrossing approximation (NCA). This numerically inexpensive method can provide higher order cumulants for extended…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 André Erpenbeck , Emanuel Gull , Guy Cohen

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

Strongly Correlated Electrons · Physics 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

The Anderson impurity model is studied by means of the self-consistent hybridization expansions in its non-crossing (NCA) and one-crossing (OCA) approximations. We have found that for the one-channel spin-$1/2$ particle-hole symmetric…

Strongly Correlated Electrons · Physics 2016-09-21 C. N. Sposetti , L. O. Manuel , P. Roura-Bas

In first-principles calculations, hybrid functional is often used to improve accuracy from local exchange correlation functionals. A drawback is that evaluating the hybrid functional needs significantly more computing effort. When…

Materials Science · Physics 2018-02-05 Maoyuan Wang , Gui-Bin Liu , Hong Guo , Yugui Yao

We present selected results from combined analytical and numerical studies of the Anderson-impurity model within the framework of infinite order perturbation theory with respect to the hybridization. Our approximation goes considerably…

Condensed Matter · Physics 2009-10-22 F. B. Anders , N. Grewe

Wave functions based on electron-pair states provide inexpensive and reliable models to describe quantum many-body problems containing strongly-correlated electrons, given that broken-pair states have been appropriately accounted for by,…

Chemical Physics · Physics 2021-03-17 Artur Nowak , Ors Legeza , Katharina Boguslawski

This paper investigates an analytical model for low-earth orbit (LEO) multi-satellite downlink non-orthogonal multiple access (NOMA) networks. The satellites transmit data to multiple NOMA user terminals (UTs), each employing successive…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Xiangyu Li , Bodong Shang , Qingqing Wu , Chao Ren

We study whether using non-orthogonal multiple access (NOMA) in the uplink of a mobile network can improve the performance over orthogonal multiple access (OMA) when the system requires ultra-reliable low-latency communications (URLLC). To…

Information Theory · Computer Science 2019-03-25 Sebastian Schiessl , Mikael Skoglund , James Gross

In this technical note, we present a new theoretical result for resource optimization with non-orthogonal multiple access (NOMA). For multi-cell scenarios, a so-called load-coupling model has been proposed to characterize the presence of…

Information Theory · Computer Science 2020-09-22 Lei You , Di Yuan

The cost of simulating quantum many-body systems - on classical or quantum hardware - scales with the number of variational parameters, so progress at fixed computational budget hinges on more parameter-efficient ans\"atze. Configuration…

Quantum Physics · Physics 2026-05-25 Hao Zhang , Matthew Otten

This chapter provides an introduction to Hybrid High-Order (HHO) methods. These are new generation numerical methods for PDEs with several advantageous features: the support of arbitrary approximation orders on general polyhedral meshes,…

Numerical Analysis · Mathematics 2017-04-21 Daniele A. Di Pietro , Roberta Tittarelli

We propose a mixed-configuration approximation based on single-band impurity solvers to efficiently study nonequilibrium multi-orbital systems at moderate computational cost. In this work, we merge the approach with the so-called auxiliary…

Strongly Correlated Electrons · Physics 2025-07-16 Tommaso Maria Mazzocchi , Daniel Werner , Markus Aichhorn , Enrico Arrigoni

The increasing congestion in the near-Earth space environment has amplified the need for robust and efficient conjunction analysis techniques including the computation of the minimum distance between orbital paths in the presence of…

Earth and Planetary Astrophysics · Physics 2024-10-29 Ana S. Rivero , Giulio Baù , Rafael Vazquez , Claudio Bombardelli

The non equilibrium Green function formalism is today the standard computational method for describing elastic transport in molecular devices. This can be extended to include inelastic scattering by the so called self-consistent Born…

Other Condensed Matter · Physics 2009-11-13 William Lee , Stefano Sanvito

Quantum embedding theories provide a feasible route for obtaining quantitative descriptions of correlated materials. However, a critical challenge is solving an effective impurity model of correlated orbitals embedded in an electron bath.…

Strongly Correlated Electrons · Physics 2021-01-27 Hiroshi Shinaoka , Yuki Nagai

We solve the impurity problem which arises within nonequilibrium dynamical mean-field theory for the Hubbard model by means of a self-consistent perturbation expansion around the atomic limit. While the lowest order, known as the…

Strongly Correlated Electrons · Physics 2013-05-29 Martin Eckstein , Philipp Werner

Coupled cluster (CC) methods are among the most accurate methods in quantum chemistry. However, the standard CC linear response formulation is not gauge invariant resulting in errors when modelling properties like optical rotation and…

Chemical Physics · Physics 2018-03-13 Rolf H. Myhre

Spatially localized one-electron orbitals, orthogonal and nonorthogonal, are widely used in electronic structure theory to describe chemical bonding and speed up calculations. In order to avoid linear dependencies of localized orbitals, the…

Chemical Physics · Physics 2020-03-04 Ziling Luo , Rustam Z. Khaliullin

We study the single impurity Anderson model (SIAM) using the equations of motion method (EOM), the non-crossing approximation (NCA), the one-crossing approximation (OCA), and Wilson's numerical renormalization group (NRG). We calculate the…

Strongly Correlated Electrons · Physics 2020-01-08 Bruno Max de Souza Melo , Luis G. G. V. Dias da Silva , Alexandre Reily Rocha , Caio H. Lewenkopf

We present the results of a computational X-ray cross correlation analysis (XCCA) study on two dimensional polygonal model structures. We show how to detect and identify the orientational order of such systems, demonstrate how to eliminate…

Materials Science · Physics 2014-06-25 Felix Lehmkühler , Gerhard Grübel , Christian Gutt
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