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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 present an improved version of the sum-of-Gaussians tensor neural network (SOG-TNN) architecture for solving many-electron Schr\"{o}dinger equation for one-dimensional soft-Coulomb systems. Model reduction techniques are introduced to…

Chemical Physics · Physics 2026-03-26 Teng Wu , Qi Zhou , Huangjie Zheng , Hehu Xie , Zhenli Xu

We present an implementation of the rotationally invariant slave boson technique as an impurity solver for density functional theory plus dynamical mean field theory (DFT+DMFT). Our approach provides explicit relations between quantities in…

Strongly Correlated Electrons · Physics 2018-09-26 Jorge I. Facio , Jernej Mravlje , Leonid Pourovskii , Pablo S. Cornaglia , V. Vildosola

We present a mapping of correlated multi-impurity Anderson models to a cluster model coupled to a number of effective conduction bands capturing its essential low-energy physics. The major ingredient is the complex single-particle self…

Strongly Correlated Electrons · Physics 2020-12-09 Fabian Eickhoff , Frithjof B. Anders

We study the spin-resolved spectral properties of the impurity states associated to the presence of magnetic impurities in two-dimensional, as well as one-dimensional systems with Rashba spin-orbit coupling. We focus on Shiba bound states…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 V. Kaladzhyan , P. Simon , C. Bena

We introduce a representation of electron operators as a product of a spin-carry ing fermion and of a phase variable dual to the total charge (slave quantum rotor). Based on this representation, a new method is proposed for solving…

Strongly Correlated Electrons · Physics 2009-11-07 Serge Florens , Antoine Georges

We apply the Green's function coupled cluster singles and doubles (GFCCSD) impurity solver to realistic impurity problems arising for strongly correlated solids within the self-energy embedding theory (SEET) framework. We describe the…

Strongly Correlated Electrons · Physics 2021-05-05 Chia-Nan Yeh , Avijit Shee , Sergei Iskakov , Dominika Zgid

A spin-1/2 Anderson impurity in a semiconductor quantum well with Rashba and Dresselhaus spin-orbit couplings is studied by using a variational wave function method. The local magnetic moment is found to be quenched at low temperatures. The…

Strongly Correlated Electrons · Physics 2015-05-27 Xiao-Yong Feng , Fu-Chun Zhang

We investigate the disordered spin-$\frac12$Heisenberg model in two dimensions and employ tree tensor networks (TTNs) with a physics-informed structural optimization of the tree layout, to simulate dynamics in the many-body localization…

Disordered Systems and Neural Networks · Physics 2025-12-23 Lars Humpert , Dante M. Kennes , Jan-Niklas Herre

Even-parity interorbital spin-triplet pairing emerges as an intriguing candidate in multiorbital superconductors with significant Hund's and spin-orbit coupling. Within such a state, the pairing is dominated by the intraband…

Superconductivity · Physics 2021-10-01 Jonathan Clepkens , Austin W. Lindquist , Xiaoyu Liu , Hae-Young Kee

An emergent and promising tensor-network-based impurity solver is to represent the path integral as a matrix product state, where the bath is analytically integrated out using Feynman-Vernon influence functional. Here we present an approach…

Strongly Correlated Electrons · Physics 2024-04-04 Ruofan Chen , Xiansong Xu , Chu Guo

Computing spectral functions in large, non-periodic super-moir\'e systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establish a tensor network methodology that allows computing…

Strongly Correlated Electrons · Physics 2026-05-12 Anouar Moustaj , Yitao Sun , Tiago V. C. Antão , Jose L. Lado

We discuss the low-energy physics of the three-orbital Anderson impurity model with the Coulomb interaction term of the Kanamori form which has orbital SO(3) and spin SU(2) symmetry and describes systems with partially occupied $t_{2g}$…

Strongly Correlated Electrons · Physics 2017-05-05 Alen Horvat , Rok Zitko , Jernej Mravlje

In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev.…

Statistical Mechanics · Physics 2025-11-19 Toshiya Hikihara , Hiroshi Ueda , Kouichi Okunishi , Kenji Harada , Tomotoshi Nishino

We present the exact Bethe Ansatz solution of a multichannel model of one- dimensional correlated electrons coupled antiferromagnetically to a magnetic impurity of arbitrary spin S. The solution reveals that interactions in the bulk make…

Strongly Correlated Electrons · Physics 2009-10-30 A. A. Zvyagin , H. Johannesson , M. Granath

This paper is concerned with convergence estimates for fully discrete tree tensor network approximations of high-dimensional functions from several model classes. For functions having standard or mixed Sobolev regularity, new estimates…

Numerical Analysis · Mathematics 2021-12-03 Markus Bachmayr , Anthony Nouy , Reinhold Schneider

We investigate the influence of spin-orbit coupling $\lambda$ in strongly-correlated multiorbital systems that we describe by a three-orbital Hubbard-Kanamori model on a Bethe lattice. We solve the problem at all integer fillings $N$ with…

Strongly Correlated Electrons · Physics 2018-11-30 Robert Triebl , Gernot J. Kraberger , Jernej Mravlje , Markus Aichhorn

Although correlated electronic-structure calculations explain very well the normal state of Sr$_2$RuO$_4$, its superconducting symmetry is still unknown. Here we construct the spin and charge fluctuation pairing interactions based on its…

Superconductivity · Physics 2019-11-27 Olivier Gingras , Reza Nourafkan , André-Marie S. Tremblay , Michel Côté

Tree containment problem is a fundamental problem in phylogenetic study, as it is used to verify a network model. It asks whether a given network contain a subtree that resembles a binary tree. The problem is NP-complete in general, even in…

Populations and Evolution · Quantitative Biology 2017-02-15 Andreas Gunawan

We have performed an extensive test of the ability of density functional theory within several approximations for the exchange-correlation functional, local density approximation+Hubbard $U$ and local density approximation + dynamic mean…

Strongly Correlated Electrons · Physics 2014-10-28 Oscar Grånäs , Igor di Marco , Olle Eriksson , Lars Nordström , Corina Etz