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We investigate the electronic properties of an exemplar transition metal impurity in an insulator, with the goal of accurately describing strongly correlated, defect states. We consider iron in aluminum nitride, a material of interest for…

Strongly Correlated Electrons · Physics 2025-01-28 Leon Otis , Yu Jin , Victor Wen-zhe Yu , Siyuan Chen , Laura Gagliardi , Giulia Galli

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 theoretically address the impact of a random distribution of non-magnetic impurities on the surface states formed at the interface between a trivial and a topological insulator. The interaction of electrons with the impurities is…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 José Luis Hernando , Yuriko Baba , Elena Díaz , Francisco Domínguez-Adame

Integrable Kondo impurities in two cases of the one-dimensional q-deformed $t-J$ models are studied by means of the boundary ${\bf Z}_2$-graded quantum inverse scattering method. The boundary $K$ matrices depending on the local magnetic…

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

It is shown that the Brillouin zone integral for the interstitial KKR-Green function can be evaluated accurately by taking proper care of the free-electron singularities in the integrand. The proposed method combines two recently developed…

Condensed Matter · Physics 2009-10-28 J. P. Dekker , A. Lodder , R. Zeller , A. F. Tatarchenko

We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

Missing values are a major challenge in most data science projects working on real data. To avoid losing valuable information, imputation methods are used to fill in missing values with estimates, allowing the preservation of samples or…

Machine Learning · Computer Science 2024-07-17 Pedro Pons-Suñer , Laura Arnal , J. Ramón Navarro-Cerdán , François Signol

An acceleration of continuous time quantum Monte Carlo (CTQMC) methods is a potentially interesting branch of work as they are matchless as impurity solvers of a density functional theory in combination with a dynamical mean field theory…

Strongly Correlated Electrons · Physics 2019-08-07 Taegeun Song , Hunpyo Lee

We introduce a software package called HIFIR for preconditioning sparse, unsymmetric, ill-conditioned, and potentially singular systems. HIFIR computes a hybrid incomplete factorization, which combines multilevel incomplete LU factorization…

Numerical Analysis · Mathematics 2021-12-02 Qiao Chen , Xiangmin Jiao

The intense theoretical and experimental interest in topological insulators and semimetals has established band structure topology as a fundamental material property. Consequently, identifying band topologies has become an important, but…

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons are studied by means of the boundary graded quantum inverse scattering method. The boundary K matrices depending on the local…

Statistical Mechanics · Physics 2009-10-31 H. -Q. Zhou , X. -Y. Ge , M. D. Gould

It is shown that the Hamiltonian for a quantum magnetic impurity on the surface of a topological insulator can be mapped to the conventional pseudo-gap Anderson impurity model, albeit with the combinations of continuum states which…

Strongly Correlated Electrons · Physics 2011-02-07 Rok Zitko

We introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG)…

Strongly Correlated Electrons · Physics 2012-08-29 L. Merker , T. A. Costi

The Anderson Impurity Model (AIM) is a canonical model of quantum many-body physics. Here we investigate whether machine learning models, both neural networks (NN) and kernel ridge regression (KRR), can accurately predict the AIM spectral…

Strongly Correlated Electrons · Physics 2021-06-23 Erica J. Sturm , Matthew R. Carbone , Deyu Lu , Andreas Weichselbaum , Robert M. Konik

We show that the local in-gap Greens function of a band insulator $\mathbf{G}_0 (\epsilon,\mathbf{k}_{\parallel},\mathbf{r}_{\perp}=0)$, with $\mathbf{r}_\perp$ the position perpendicular to a codimension-1 or -2 impurity, reveals the…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Robert-Jan Slager , Louk Rademaker , Jan Zaanen , Leon Balents

Many applications of Green's functions (GFs) require their evaluation over intervals or at multiple points, motivating quantum algorithms that return an efficiently computable functional representation rather than mere point estimates. We…

Quantum Physics · Physics 2026-05-25 Jacob S. Nelson , Andrew B. Baczewski

We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Lukas Kimme , Timo Hyart

Accurate plasma state reconstruction will be crucial for the success of ITER and future fusion plants, but the harsh conditions of a burning plasma will make diagnostic operation more challenging than in current machines. Integrated data…

We investigate the performance of Green's function coupled cluster singles and doubles (CCSD) method as a solver for Green's function embedding methods. To develop an efficient CC solver, we construct the one-particle Green's function from…

Strongly Correlated Electrons · Physics 2019-06-11 Avijit Shee , Dominika Zgid

We investigate in-gap states emerging when a single $3d$ transition metal impurity is embedded in topological insulators (Bi$_2$Te$_3$ and Bi$_2$Se$_3$). We use a combined approach relying on first-principles calculations and an Anderson…

Materials Science · Physics 2018-07-25 Juba Bouaziz , Manuel dos Santos Dias , Julen Ibañez-Azpiroz , Samir Lounis