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We present an efficient implementation of the Density Matrix Renormalization Group (DMRG) algorithm that includes an optimal ordering of the proton and neutron orbitals and an efficient expansion of the active space utilizing various…

Nuclear Theory · Physics 2015-11-18 Ö. Legeza , L. Veis , A. Poves , J. Dukelsky

An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to linear for vector models. An algorithm for determining…

High Energy Physics - Theory · Physics 2009-10-22 Saburo Higuchi , Chigak Itoi , Shinsuke Nishigaki , Norisuke Sakai

Applying functional renormalization group methods, we describe two inequivalent ways of defining the renormalization group of matter-coupled four dimensional gravity, in the approximation where only the conformal factor is dynamical and…

High Energy Physics - Theory · Physics 2011-04-14 P. F. Machado , R. Percacci

We investigate an operator renormalization group method to extract and describe the relevant degrees of freedom in the evolution of partial differential equations. The proposed renormalization group approach is formulated as an analytical…

Statistical Mechanics · Physics 2007-05-23 Andreas Degenhard , Javier Rodriguez-Laguna

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We present a recently-developed renormalization group scheme, the functional renormalization group (fRG), as a many-particle method suited to account for the two-particle interactions between the electrons in complex quantum dot geometries.…

Strongly Correlated Electrons · Physics 2007-05-23 C. Karrasch

The Density Matrix Renormalization Group (DMRG) method is developed for application to realistic nuclear systems. Test results are reported for 24Mg.

Nuclear Theory · Physics 2007-05-23 S. S. Dimitrova , S. Pittel , J. Dukelsky , M. V. Stoitsov

A hybrid approach to nonequilibrium dynamics of quantum impurity systems is presented. The numerical renormalization group serves as a means to generate a suitable low-energy Hamiltonian, allowing for an accurate evaluation of the real-time…

Strongly Correlated Electrons · Physics 2013-03-20 Fabian Guettge , Frithjof B. Anders , Ulrich Schollwoeck , Eitan Eidelstein , Avraham Schiller

The renormalization group plays an essential role in many areas of physics, both conceptually and as a practical tool to determine the long-distance low-energy properties of many systems on the one hand and on the other hand search for…

Statistical Mechanics · Physics 2021-05-10 N. Dupuis , L. Canet , A. Eichhorn , W. Metzner , J. M. Pawlowski , M. Tissier , N. Wschebor

We introduce the method of dynamical renormalization group to study relaxation and damping out of equilibrium directly in real time and applied it to the study of infrared divergences in scalar QED. This method allows a consistent…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega , R. Holman , M. Simionato

A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one…

Strongly Correlated Electrons · Physics 2007-05-23 U. Schollwoeck , S. R. White

We re-adapt a spectral renormalization method, introduced in nonlinear optics, to solve the Kohn-Sham (KS) equations of density functional theory (DFT), with a focus on functionals based on the strictly-correlated electrons (SCE) regime,…

Strongly Correlated Electrons · Physics 2020-04-23 Juri Grossi , Ziad H. Musslimani , Michael Seidl , Paola Gori-Giorgi

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point…

Statistical Mechanics · Physics 2011-10-18 Jean-Paul Blaizot

The widely used density matrix renormalization group (DRMG) method often fails to converge in systems with multiple length scales, such as lattice discretizations of continuum models and dilute or weakly doped lattice models. The local…

Quantum Gases · Physics 2012-07-17 M. Dolfi , B. Bauer , M. Troyer , Z. Ristivojevic

The histogram reweighting technique, widely used to analyze Monte Carlo data, is shown to be applicable to dynamic properties obtained from Molecular Dynamics simulations. The theory presented here is based on the fact that the correlation…

Statistical Mechanics · Physics 2009-11-11 Carlos Nieto-Draghi , Javier Perez-Pellitero , Josep Bonet Avalos

We study the sudden expansion of strongly correlated fermions in a one-dimensional lattice, utilizing the time-dependent density-matrix renormalization group method. Our focus is on the behavior of experimental observables such as the…

Strongly Correlated Electrons · Physics 2008-07-18 F. Heidrich-Meisner , M. Rigol , A. Muramatsu , A. E. Feiguin , E. Dagotto

Layers of two-dimensional materials arranged at a twist angle with respect to each other lead to enlarged unit cells with potentially strongly altered band structures, offering a new arena for novel and engineered many-body ground states.…

Strongly Correlated Electrons · Physics 2020-08-18 Lennart Klebl , Dante M. Kennes , Carsten Honerkamp

We formulate a momentum-shell renormalization group (RG) procedure that can be used in theories containing both bosons and fermions with a Fermi surface. We focus on boson-fermion couplings that are nearly forward-scattering, {\it i.e.}…

Strongly Correlated Electrons · Physics 2014-11-20 Seiji J. Yamamoto , Qimiao Si

We adapt White's density matrix renormalisation group (DMRG) to the direct study of critical phenomena. We use the DMRG to generate transformations in the space of coupling constants. We postulate that a study of density matrix eigenvalues…

Condensed Matter · Physics 2007-05-23 R. J. Bursill , F. Gode

We use the density-matrix renormalization group technique developed by White \cite{white} to calculate the spin correlation functions $<{S}_{n+l}^z{S}_n^z>=(-1)^l \omega(l,N)$ for isotropic Heisenberg rings up to $N=70$ sites. The…

Condensed Matter · Physics 2009-10-28 K. A. Hallberg , P. Horsch , G. Martinez