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The density matrix renormalization group (DMRG) method has already proved itself as a very efficient and accurate computational method, which can treat large active spaces and capture the major part of strong correlation. Its application on…

化学物理 · 物理学 2022-10-31 Pavel Beran , Katarzyna Pernal , Fabijan Pavosevic , Libor Veis

The density matrix renormalization group method is generalized to one dimensional random systems. Using this method, the energy gap distribution of the spin-1/2 random antiferromagnetic Heisenberg chain is calculated. The results are…

凝聚态物理 · 物理学 2009-10-28 Kazuo Hida

The Density Matrix Renormalization Group (DMRG) algorithm has been a rising star for the accurate ab initio exploration of Born-Oppenheimer potential energy surfaces in theoretical chemistry. However, owing to its iterative numerical…

化学物理 · 物理学 2014-05-13 Sebastian F. Keller , Markus Reiher

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…

强关联电子 · 物理学 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

We have studied quantum data compression for finite quantum systems where the site density matrices are not independent, i.e., the density matrix cannot be given as direct product of site density matrices and the von Neumann entropy is not…

强关联电子 · 物理学 2009-11-10 Ö. Legeza , J. Sólyom

In the Density Matrix Renormalization Group (DMRG) algorithm, Hamiltonian symmetries play an important role. Using symmetries, the matrix representation of the Hamiltonian can be blocked. Diagonalizing each matrix block is more efficient…

强关联电子 · 物理学 2012-06-29 G. Alvarez

We carry out a systematic construction of the coarse-grained dynamical equation of motion for the orientational order parameter for a two-dimensional active nematic, that is a nonequilibrium steady state with uniaxial, apolar orientational…

软凝聚态物质 · 物理学 2015-05-14 Shradha Mishra , R. Aditi Simha , Sriram Ramaswamy

The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems. In the…

强关联电子 · 物理学 2011-01-04 Ulrich Schollwoeck

We studied the statics and dynamics of elastic manifolds in disordered media with long-range correlated disorder using functional renormalization group (FRG). We identified different universality classes and computed the critical exponents…

无序系统与神经网络 · 物理学 2017-08-23 Andrei A. Fedorenko

In this paper we describe how the density matrix renormalization group (DMRG) can be used for quantum chemical calculations for molecules, as an alternative to traditional methods, such as configuration interaction or coupled cluster…

凝聚态物理 · 物理学 2009-10-31 Steven R. White , Richard L. Martin

Accurate electronic structure calculations are essential in modern materials science, but strongly correlated systems pose a significant challenge due to their computational cost. Traditional methods, such as complete active space…

化学物理 · 物理学 2024-12-11 Pavlo Golub , Chao Yang , Vojtěch Vlček , Libor Veis

The recently proposed combination of the valence-space in-medium similarity renormalization group (VS-IMSRG) with the density matrix renormalization group (DMRG) offers a scalable and flexible many-body approach for strongly correlated…

核理论 · 物理学 2024-08-12 A. Tichai , K. Kapás , T. Miyagi , M. A. Werner , Ö. Legeza , A. Schwenk , G. Zarand

The Density Matrix Renormalisation Group (DMRG) is an electronic structure method that has recently been applied to ab-initio quantum chemistry. Even at this early stage, it has enabled the solution of many problems that would previously…

We use the adaptive time-dependent density matrix renormalization group method (t-DMRG) to study the nonequilibrium dynamics of a benchmark quantum impurity system which has a time-dependent Hamiltonian. This model is a resonant-level…

强关联电子 · 物理学 2009-04-01 Cheng Guo , Andreas Weichselbaum , Stefan Kehrein , Tao Xiang , Jan von Delft

In order to extend the density-matrix renormalization-group (DMRG) method to two-dimensional systems, we formulate two alternative methods to prepare the initial states. We find that the number of states that is needed for accurate energy…

凝聚态物理 · 物理学 2007-05-23 Shoudan Liang , Hanbin Pang

We show how the density-matrix numerical renormalization group (DM-NRG) method can be used in combination with non-Abelian symmetries such as SU(N), where the decomposition of the direct product of two irreducible representations requires…

强关联电子 · 物理学 2012-11-28 Catalin Pascu Moca , Arne Alex , Jan von Delft , Gergely Zarand

We propose an initialization procedure for the density-matrix renormalization group (DMRG): {\it the recursive sweep method}. In a conventional DMRG calculation, the infinite-algorithm, where two new sites are added to the system at each…

强关联电子 · 物理学 2007-05-23 Masaki Tezuka

Density matrix renormalization group (DMRG) is one of the most powerful numerical methods available for many-body systems. In this work, we develop a perturbation theory of DMRG (PT-DMRG) to largely increase its accuracy in an extremely…

强关联电子 · 物理学 2017-03-01 Emanuele Tirrito , Shi-Ju Ran , Andrew J. Ferris , Ian P. McCulloch , Maciej Lewenstein

We present a novel formulation of the vibrational density matrix renormalization group (vDMRG) algorithm tailored to strongly anharmonic molecules described by general high-dimensional model representations of potential energy surfaces. For…

化学物理 · 物理学 2023-12-29 Nina Glaser , Alberto Baiardi , Markus Reiher

In the numerical analysis of strongly correlated quantum lattice models one of the leading algorithms developed to balance the size of the effective Hilbert space and the accuracy of the simulation is the density matrix renormalization…

强关联电子 · 物理学 2015-06-17 Csaba Nemes , Gergely Barcza , Zoltán Nagy , Örs Legeza , Péter Szolgay