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相关论文: Density-matrix renormalization-group method in mom…

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The Density Matrix Renormalization Group (DMRG) algorithm is a powerful tool for solving eigenvalue problems to model quantum systems. DMRG relies on tensor contractions and dense linear algebra to compute properties of condensed matter…

分布式、并行与集群计算 · 计算机科学 2021-01-26 Ryan Levy , Edgar Solomonik , Bryan K. Clark

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

We improve the density-matrix renormalization group (DMRG) evaluation of the Kubo formula for the zero-temperature linear conductance of one-dimensional correlated systems.The dynamical DMRG is used to compute the linear response of a…

强关联电子 · 物理学 2018-10-08 Jan-Moritz Bischoff , Eric Jeckelmann

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

We have devised and implemented a local ab initio Density Matrix Renormalization Group (DMRG) algorithm to describe multireference nondynamic correlations in large systems. For long molecules that are extended in one of their spatial…

强关联电子 · 物理学 2009-11-11 Johannes Hachmann , Wim Cardoen , Garnet Kin-Lic Chan

We present an efficient stochastic algorithm for the recently introduced perturbative density matrix renormalization group (p-DMRG) method for large active spaces. The stochastic implementation bypasses the computational bottleneck involved…

化学物理 · 物理学 2018-08-01 Sheng Guo , Zhendong Li , Garnet Kin-Lic Chan

The practical success of polynomial-time tensor network methods for computing ground states of certain quantum local Hamiltonians has recently been given a sound theoretical basis by Arad, Landau, Vazirani, and Vidick. The convergence…

统计力学 · 物理学 2018-02-14 Brenden Roberts , Thomas Vidick , Olexei I. Motrunich

We present a detailed discussion of a novel dynamical renormalization group scheme: the Dynamically Driven Renormalization Group (DDRG). This is a general renormalization method developed for dynamical systems with non-equilibrium critical…

凝聚态物理 · 物理学 2009-10-28 Alessandro Vespignani , Stefano Zapperi , Vittorio Loreto

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

We discuss techniques of the density matrix renormalization group and their application to interacting fermion systems in more than one dimension. We show numerical results for equal--time spin--spin and singlet pair field correlation…

凝聚态物理 · 物理学 2007-05-23 R. M. Noack , S. R. White , D. J. Scalapino

Systems of Y-junctions are interesting both from a fundamental viewpoint and because of their potential use in nanoscale devices. These systems can be studied numerically with the density matrix renormalization group(DMRG), but existing…

强关联电子 · 物理学 2007-05-23 Haihui Guo , Steven R. White

We introduce the transcorrelated Density Matrix Renormalization Group (tcDMRG) theory for the efficient approximation of the energy for strongly correlated systems. tcDMRG encodes the wave function as a product of a fixed Jastrow or…

强关联电子 · 物理学 2020-11-13 Alberto Baiardi , Markus Reiher

We report a way of wave function estimation for the density matrix renormalization group (DMRG) method applied to quantum systems, which has 2-site modulation, when the system size extension is necessary in both the finite and the infinite…

量子物理 · 物理学 2011-02-11 Hiroshi Ueda , Tomotoshi Nishino , Koichi Kusakabe

The spin 1/2 XXZ chain in a random magnetic field pointing in the Z direction is numerically studied using the Density Matrix Renormalization Group (DMRG) method. The phase diagram as a function of the anisotropy of the XXZ Hamiltonian and…

强关联电子 · 物理学 2009-11-07 Laura Urba , Anders Rosengren

Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional $\lambda\phi^4$ model to study spontaneous breakdown of discrete $Z_2$ symmetry numerically. We obtain the critical coupling $(\lambda/\mu^2)_{\rm c}=59.89\pm…

高能物理 - 格点 · 物理学 2009-11-10 Takanori Sugihara

Several density-matrix renormalization group methods have been proposed to compute the momentum- and frequency-resolved dynamical correlation functions of low-dimensional strongly correlated systems. The most relevant approaches are…

强关联电子 · 物理学 2009-01-28 Eric Jeckelmann

An extension of the the density matrix renormalization group (DMRG) method is presented. Besides the two groups or classes of block states considered in White's formulation, the retained $m$ states and the neglected ones, we introduce an…

强关联电子 · 物理学 2009-10-31 Marie-Bernadette Lepetit , G. M. Pastor

An efficient density matrix renormalization group (DMRG) algorithm is presented for the Bethe lattice with connectivity $Z = 3$ and antiferromagnetic exchange between nearest neighbor spins $s= 1/2$ or 1 sites in successive generations $g$.…

强关联电子 · 物理学 2015-06-03 Manoranjan Kumar , S. Ramasesha , Zoltan G. Soos

We propose a new density matrix renormalization group (DMRG) approach to study lattices including bosons. The key to the new approach is an exact mapping of a boson site containing 2^N states to N pseudo-sites, each with 2 states. The…

凝聚态物理 · 物理学 2009-10-30 Eric Jeckelmann , Steven R. White

The extended Bose-Hubbard model in a quadratic trap potential is studied using a finite-size density-matrix renormalization group method (DMRG). We compute the boson density profiles, the local compressibility and the hopping correlation…

强关联电子 · 物理学 2009-11-11 Laura Urba , Emil Lundh , Anders Rosengren