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We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of…

Superconductivity · Physics 2009-07-22 J. Bauer , A. C. Hewson , N. Dupuis

We investigate the 2- and 3-state ferromagnetic Potts models on the simple cubic lattice using the tensor renormalization group method with higher-order singular value decomposition (HOTRG). HOTRG works in the thermodynamic limit, where we…

Statistical Mechanics · Physics 2014-09-16 S. Wang , Z. Y. Xie , J. Chen , B. Normand , T. Xiang

We investigate the Mott transition in a two-band Hubbard-Kanamori model using Dynamical Mean-Field Theory (DMFT) with the Density Matrix Renormalization Group (DMRG) and the Numerical Renormalization Group (NRG) as impurity solvers. Our…

Strongly Correlated Electrons · Physics 2025-10-06 Nayara G. Gusmão , Germán Blesio , Armando Aligia , Walber H. Brito , Maria C. O. Aguiar , Karen Hallberg

We present a new method to calculate directly the one-particle self-energy of an impurity Anderson model with Wilson's numerical Renormalization Group method by writing this quantity as the ratio of two correlation functions. This way of…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla , A. C. Hewson , Th. Pruschke

We study the filling-driven Mott transition involving the metallic and paramagnetic insulating phases in SU(N) Fermi-Hubbard models, using dynamical mean-field theory (DMFT) and the numerical renormalization group (NRG) as impurity solver.…

Strongly Correlated Electrons · Physics 2018-05-09 Seung-Sup B. Lee , Jan von Delft , Andreas Weichselbaum

For doped two-dimensional Mott insulators in their normal state, the challenge is to understand the evolution from a conventional metal at high doping to a strongly correlated metal near the Mott insulator at zero doping. To this end, we…

Strongly Correlated Electrons · Physics 2011-08-31 G. Sordi , K. Haule , A. -M. S. Tremblay

Mott transitions are studied in the two-dimensional Hubbard model by a non-perturbative theory of correlator projection that systematically includes spatial correlations into the dynamical mean-field approximation. Introducing a nonzero…

Strongly Correlated Electrons · Physics 2009-11-10 Shigeki Onoda , Masatoshi Imada

We use the two-step density-matrix renormalization group method to elucidate the long-standing issue of the universality class of the Mott transition in the Hubbard model in two dimensions. We studied a spatially anisotropic two-dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 S. Moukouri , Eitan Eidelstein

We analyze the unanalytical structure of metal-insulator transition (MIT) in infinite dimensions. By introducing a simple transformation into the dynamical mean-field equation of Hubbard model, a multiple-valued structure in Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Ning-Hua Tong , Shun-Qing Shen , Fu-Cho Pu

The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero…

Strongly Correlated Electrons · Physics 2011-11-10 T. A. Costi , A. Liebsch

Understanding the robustness of topological phases of matter in the presence of interactions poses a difficult challenge in modern condensed matter, showing interesting connections to high energy physics. In this work, we leverage these…

Quantum Gases · Physics 2019-03-13 E. Tirrito , M. Rizzi , G. Sierra , M. Lewenstein , A. Bermudez

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new…

Strongly Correlated Electrons · Physics 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the…

Strongly Correlated Electrons · Physics 2009-10-31 Walter Hofstetter

We report the application of the density-matrix renormalization group method to a spatially anisotropic two-dimensional Hubbard model at half-filling. We find a deconfinement transition induced by the transverse hopping parameter $t_y$ from…

Strongly Correlated Electrons · Physics 2015-05-28 S. Moukouri , Eitan Eidelstein

We study the Hubbard-Holstein model, which includes both the electron-electron and electron-phonon interactions characterized by $U$ and $g$, respectively, employing the dynamical mean-field theory combined with Wilson's numerical…

Strongly Correlated Electrons · Physics 2009-11-10 Gun Sang Jeon , Tae-Ho Park , Jung Hoon Han , Hyun C. Lee , Han-Yong Choi

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Walter Hofstetter

The study of nuclei at finite temperature is of immense interest for many areas of nuclear astrophysics and nuclear-reaction science. A variety of ab initio methods are now available for computing the properties of nuclei from interactions…

Nuclear Theory · Physics 2025-04-25 Isaac G. Smith , Heiko Hergert , Scott K. Bogner

We investigate the metal-insulator transition of the (1+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. The critical chemical potential $\mu_{\rm c}$ and the critical exponent $\nu$…

High Energy Physics - Lattice · Physics 2021-07-09 Shinichiro Akiyama , Yoshinobu Kuramashi

The two-dimensional (2D) Hubbard model has long attracted interest for its rich phase diagram and its relevance to high-$T_c$ superconductivity. However, reliable finite-temperature studies remain challenging due to the exponential…

Strongly Correlated Electrons · Physics 2025-10-30 Changkai Zhang , Jan von Delft

The time-dependent numerical renormalization group (td-NRG) [Anders et al. Phys. Rev. Lett. {\bf 95}, 196801 (2006)] offers the prospect of investigating in a non-perturbative manner the time-dependence of local observables of interacting…

Strongly Correlated Electrons · Physics 2014-02-20 H. Nghiem , T. A. Costi