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相关论文: Density-matrix renormalization using three classes…

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The Density Matrix Renormalization Group (DMRG) method with periodic boundary conditions is introduced for two dimensional classical spin models. It is shown that this method is more suitable for derivation of the properties of infinite 2D…

统计力学 · 物理学 2009-10-31 Andrej Gendiar , Anton Surda

The half-filled Hubbard model on the Bethe lattice with coordination number $z=3$ is studied using the density-matrix renormalization group (DMRG) method. Ground-state properties such as the energy $E$, average local magnetization $<\hat…

强关联电子 · 物理学 2007-05-23 Marie-Bernadette Lepetit , Maixent Cousy , G. M. Pastor

The Density Matrix Renormalization Group (DMRG) method scales exponentially in the system width for models in two dimensions, but remains one of the most powerful methods for studying 2D systems with a sign problem. Reviewing past…

强关联电子 · 物理学 2012-03-15 E. M. Stoudenmire , Steven R. White

We develop the Density Matrix Renormalization Group (DMRG) technique for numerically studying incompressible fractional quantum Hall (FQH) states on the sphere. We calculate accurate estimates for ground state energies and excitationgaps at…

介观与纳米尺度物理 · 物理学 2009-07-21 A. E. Feiguin , E. Rezayi , C. Nayak , S. Das Sarma

We develop a variant of the density matrix renormalization group (DMRG) algorithm for two-dimensional cylinders that uses a real space representation along the cylinder and a momentum space representation in the perpendicular direction. The…

强关联电子 · 物理学 2016-04-25 Johannes Motruk , Michael P. Zaletel , Roger S. K. Mong , Frank Pollmann

We describe here the extension of the density matrix renormalization group algorithm to the case where Hamiltonian has a non-Abelian global symmetry group. The block states transform as irreducible representations of the non-Abelian group.…

强关联电子 · 物理学 2009-10-31 I. McCulloch , M. Gulacsi

In the past two decades, the density matrix renormalization group (DMRG) has emerged as an innovative new method in quantum chemistry relying on a theoretical framework very different from that of traditional electronic structure…

计算物理 · 物理学 2020-02-18 Alberto Baiardi , Markus Reiher

We propose a new approach to implement the density matrix renormalization group (DMRG) in two dimensions. With this approach the initial blocks of a L by L lattice are built up directly from the matrix elements of a (L-1) by L-1) lattice…

强关联电子 · 物理学 2009-11-07 Tao Xiang , Jizhong Lou , Zhaobin Su

A variant of White's density matrix renormalisation group scheme which is designed to compute low-lying energies of one-dimensional quantum lattice models with a large number of degrees of freedom per site is described. The method is tested…

凝聚态物理 · 物理学 2009-10-31 R. J. Bursill

Shared-memory parallelization (SMP) strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the…

强关联电子 · 物理学 2009-11-10 G. Hager , E. Jeckelmann , H. Fehske , G. Wellein

We have proposed a density-matrix renormalization group (DMRG) scheme to optimize the one-electron basis states of molecules. It improves significantly the accuracy and efficiency of the DMRG in the study of quantum chemistry or other…

强关联电子 · 物理学 2010-10-20 H. -G. Luo , M. -P. Qin , T. Xiang

We study the Hubbard model at half band-filling on a Bethe lattice with infinite coordination number in the paramagnetic insulating phase at zero temperature. We use the dynamical mean-field theory (DMFT) mapping to a single-impurity…

强关联电子 · 物理学 2009-11-10 Satoshi Nishimoto , Florian Gebhard , Eric Jeckelmann

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…

量子气体 · 物理学 2012-07-17 M. Dolfi , B. Bauer , M. Troyer , Z. Ristivojevic

We introduce the density matrix renormalization group (DMRG) method as an efficient computational tool for one-exciton approximations with off-diagonal disorder. This method allows us to reduce the computational effort by targetting only a…

强关联电子 · 物理学 2007-05-23 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

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…

核理论 · 物理学 2015-11-18 Ö. Legeza , L. Veis , A. Poves , J. Dukelsky

In this paper recent substantial progress in applying the density-matrix renormalization-group (DMRG) to the simulation of the time-evolution of strongly correlated quantum systems in one dimension is reviewed. Various approaches to…

强关联电子 · 物理学 2015-06-25 Ulrich Schollwoeck

The particle-hole Density Matrix Renormalization Group (p-h DMRG) method is discussed as a possible new approach to large-scale nuclear shell-model calculations. Following a general description of the method, we apply it to a class of…

核理论 · 物理学 2011-05-12 J. Dukelsky , S. Pittel , S. S. Dimitrova , M. V. Stoitsov

The performance of the density matrix renormalization group (DMRG) is strongly influenced by the choice of the local basis of the underlying physical lattice. We demonstrate that, for the two-dimensional Hubbard model, the hybrid…

强关联电子 · 物理学 2017-03-22 G. Ehlers , S. R. White , R. M. Noack

We introduce a hybrid approach to applying the density matrix renormalization group (DMRG) to continuous systems, combining a grid approximation along one direction with a finite Gaussian basis set along the remaining two directions. This…

化学物理 · 物理学 2017-08-02 E. Miles Stoudenmire , Steven R. White

Expanding and improving the repertoire of numerical methods for studying quantum lattice models is an ongoing focus in many-body physics. While the density matrix renormalization group (DMRG) has been established as a practically useful…