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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

The density matrix renormalization group (DMRG) is a numerical method that optimizes a variational state expressed by a tensor product. We show that the ground state is not fully optimized as far as we use the standard finite system…

统计力学 · 物理学 2010-05-20 H. Takasaki , T. Hikihara , T. Nishino

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

We developed a density matrix renormalization-group technique to study quantum Hall fractions of fast rotating bosons. In this paper we present a discussion of the method together with the results which we obtain in three distinct cases of…

强关联电子 · 物理学 2010-03-31 D. L. Kovrizhin

We describe a simple real space renormalization group technique for two dimensional classical lattice models. The approach is similar in spirit to block spin methods, but at the same time it is fundamentally based on the theory of quantum…

统计力学 · 物理学 2009-11-11 Michael Levin , Cody P. Nave

We propose a new tensor network renormalization group (TNR) scheme based on global optimization and introduce a new method for constructing the finite-temperature density matrix of two-dimensional quantum systems. Combining these two into a…

强关联电子 · 物理学 2026-05-13 Atsushi Ueda , Sander De Meyer , Adwait Naravane , Victor Vanthilt , Frank Verstraete

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

We use the density matrix renormalization group (DMRG) for transfer matrices to numerically calculate impurity corrections to thermodynamic properties. The method is applied to two impurity models in the spin-1/2 chain, namely a weak link…

强关联电子 · 物理学 2009-10-31 Stefan Rommer , Sebastian Eggert

We propose a numerical variational method for three-dimensional (3D) classical lattice models. We construct the variational state as a product of local tensors, and improve it by use of the corner transfer matrix renormalization group…

统计力学 · 物理学 2010-05-20 T. Nishino , K. Okunishi , Y. Hieida , N. Maeshima , Y. Akutsu

We present the theory of a density matrix renormalization group (DMRG) algorithm which can solve for both the ground and excited states of non-Hermitian transcorrelated Hamiltonians, and show applications in \emph{ab initio} molecular…

We develop a new variant of the recently introduced stochastic transfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrix DMRG (LCTMRG). It is a numerical method to compute dynamic properties of one-dimensional…

统计力学 · 物理学 2009-11-07 A. Kemper , A. Gendiar , T. Nishino , A. Schadschneider , J. Zittartz

We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads us to introduce some modifications for problems with periodic boundary conditions in which…

强关联电子 · 物理学 2007-05-23 F. Verstraete , D. Porras , J. I. Cirac

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

We apply the density matrix renormalization group (DMRG) method to a non-equilibrium problem: the asymmetric exclusion process in one dimension. We study the stationary state of the process to calculate the particle density profile…

统计力学 · 物理学 2009-10-30 Yasuhiro Hieida

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) was introduced by Steven White in 1992 as a method for accurately describing the properties of one-dimensional quantum lattices. The method, as originally introduced, was based on the…

介观与纳米尺度物理 · 物理学 2011-05-12 Jorge Dukelsky , Stuart Pittel

White's density matrix renormalization group ({DMRG}) method has been applied to the one-dimensional Ising model in a transverse field ({ITF}), in order to study the accuracy of the numerical algorithm. Due to the exact solubility of the…

强关联电子 · 物理学 2009-10-31 Ors Legeza , Gabor Fath

The purpose of this paper is (i) to present a generic and fully functional implementation of the density-matrix renormalization group (DMRG) algorithm, and (ii) to describe how to write additional strongly-correlated electron models and…

强关联电子 · 物理学 2015-05-13 G. Alvarez

We propose a numerical self-consistent method for 3D classical lattice models, which optimizes the variational state written as two-dimensional product of tensors. The variational partition function is calculated by the corner transfer…

We present a method for computing resonant inelastic x-ray scattering (RIXS) spectra in one-dimensional systems using the density matrix renormalization group (DMRG) method. By using DMRG to address the problem, we shift the computational…

强关联电子 · 物理学 2018-09-20 A. Nocera , U. Kumar , N. Kaushal , G. Alvarez , E. Dagotto , S. Johnston