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A novel, general Green's function technique for elastic spin-dependent transport calculations is presented, which (i) scales linearly with system size and (ii) allows straightforward application to general tight-binding Hamiltonians (spd in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Sanvito , C. J. Lambert , J. H. Jefferson , A. M. Bratkovsky

We introduce a hybrid quantum-classical algorithm to compute the Green function for strongly correlated electrons on noisy intermediate-scale quantum (NISQ) devices. The technique consists in the construction of a non-orthogonal excitation…

Strongly Correlated Electrons · Physics 2024-11-01 B. Gauthier , P. Rosenberg , A. Foley , M. Charlebois

The three key elements of a quantum simulation are state preparation, time evolution, and measurement. While the complexity scaling of time evolution and measurements are well known, many state preparation methods are strongly…

Quantum Physics · Physics 2022-03-24 Trevor Keen , Bo Peng , Karol Kowalski , Pavel Lougovski , Steven Johnston

The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

Strongly Correlated Electrons · Physics 2008-02-03 A. L. Kuzemsky

The cumulant expansion of the Green's function is a computationally efficient beyond-$GW$ approach renowned for its significant enhancement of satellite features in materials. In contrast to the ubiquitous $GW$ approximation of many-body…

Chemical Physics · Physics 2024-02-27 Pierre-François Loos , Antoine Marie , Abdallah Ammar

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Kiryl Piasotski , Mikhail Pletyukhov , Alexander Shnirman

The second-order reduced density matrix method (the RDM method) has performed well in determining energies and properties of atomic and molecular systems, achieving coupled-cluster singles and doubles with perturbative triples (CC SD(T))…

Strongly Correlated Electrons · Physics 2012-07-23 James S. M. Anderson , Maho Nakata , Ryo Igarashi , Katsuki Fujisawa , Makoto Yamashita

The asymptotics of the equal-time one-particle Green's function for the half-filled one-dimensional Hubbard model is studied at finite temperature. We calculate its correlation length by evaluating the largest and the second largest…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Umeno , M. Shiroishi , A. Kluemper

A simple ``brute-force'' parallelisation procedure for the computational implementation of high-order coupled cluster method (CCM) calculations is presented here. This approach is investigated and illustrated by an application of high-order…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

We have developed an approach to calculate the single-particle Green function of a one-dimensional many-body system in the strongly localized limit at zero temperature. Our approach, based on the locator expansion, sums the contributions of…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. N. Somoza , M. Ortuño , V. Gasparian , M. Pino

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

Electronic correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's…

Strongly Correlated Electrons · Physics 2012-09-25 Georg Rohringer , Angelo Valli , Alessandro Toschi

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

Strongly Correlated Electrons · Physics 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

The Hubbard model on a cube was revisited and extended by both nearest-neighbor (nn) Coulomb correlation and {nearest-neighbor} Heisenberg exchange. The complete eigensystem was computed exactly for all electron occupancies and all model…

Strongly Correlated Electrons · Physics 2015-05-13 Rolf Schumann , David Zwicker

The cluster slave-spin method is introduced to systematically investigate the solutions of the Hubbard model including the symmetry-broken phases. In this method, the electron operator is factorized into a fermioninc spinon describing the…

Strongly Correlated Electrons · Physics 2017-09-12 Wei-Cheng Lee , Ting-Kuo Lee

This is an analysis of the itinerant model for antiferromagnetism, in which is included both on-site and inter-site electron correlations. We also consider the band degeneration, which brings into the Hamiltonian the on-site exchange…

Strongly Correlated Electrons · Physics 2016-08-16 G. Górski , J. Mizia , K. Kucab

The aim of this work is to outline in some detail the use of combinatorial algebra in planar quantum field theory. Particular emphasis is given to the relations between the different types of planar Green's functions. The key object is a…

Mathematical Physics · Physics 2016-08-16 Kurusch Ebrahimi-Fard , Frederic Patras

Quantitative descriptions of strongly correlated materials pose a considerable challenge in condensed matter physics and chemistry. A promising approach to address this problem is quantum embedding methods. In particular, the dynamical…

Quantum Physics · Physics 2024-05-07 Rihito Sakurai , Wataru Mizukami , Hiroshi Shinaoka

An algorithm is presented to calculate the electronic local time-dependent Green's operator for manganites-related hamiltonians. This algorithm is proved to scale with the number of states $N$ in the Hilbert-space to the 1.55 power, is able…

Strongly Correlated Electrons · Physics 2009-11-10 H. Aliaga

In the present work ferromagnetic ordering in the Hubbard model generalized by taking into account the inter-atomic exchange interaction and correlated hopping in partially filled narrow band is considered. In the case of weak…

Strongly Correlated Electrons · Physics 2007-05-23 L. Didukh , O. Kramar , Yu. Skorenkyy