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We report the symmetrized density matrix renormalization group (DMRG) study of neutral and doped oligomers of PPP system within an extended Hubbard model. Model parameters are determined by comparing the existing results for interacting…

凝聚态物理 · 物理学 2007-05-23 Y. Anusooya , Swapan K. Pati , S. Ramasesha

The spectra which occur in numerical density-matrix renormalization group (DMRG) calculations for quantum chains can be obtained analytically for integrable models via corner transfer matrices. This is shown in detail for the transverse…

统计力学 · 物理学 2017-09-27 I. Peschel , M. Kaulke , Ö. Legeza

We propose a novel many-body framework combining the density matrix renormalization group (DMRG) with the valence-space (VS) formulation of the in-medium similarity renormalization group. This hybrid scheme admits for favorable…

核理论 · 物理学 2023-09-12 A. Tichai , S. Knecht , A. T. Kruppa , Ö. Legeza , C. P. Moca , A. Schwenk , M. A. Werner , G. Zarand

We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of…

超导电性 · 物理学 2009-07-22 J. Bauer , A. C. Hewson , N. Dupuis

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…

Explicitly correlated methods, such as the transcorrelated method which shifts a Jastrow or Gutzwiller correlator from the wave function to the Hamiltonian, are designed for high-accuracy calculations of electronic structures, but their…

强关联电子 · 物理学 2026-04-10 Benjamin Corbett , Akimasa Miyake

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

强关联电子 · 物理学 2008-05-31 Hang Wong , Zhi-De Chen

We introduce a Lagrangian formulation of the Density Matrix Renormalization Group (DMRG). We present Lagrangians which when minimised yield the optimal DMRG wavefunction in a variational sense, both within the general matrix product ansatz,…

强关联电子 · 物理学 2008-04-11 Garnet Kin-Lic Chan

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

The density-matrix renormalization group (DMRG) applied to transfer matrices allows it to calculate static as well as dynamical properties of one-dimensional quantum systems at finite temperature in the thermodynamic limit. To this end the…

强关联电子 · 物理学 2007-12-20 S. Glocke , A. Klümper , J. Sirker

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

强关联电子 · 物理学 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

The interplay of disorder and interactions is a challenging topic of condensed matter physics, where correlations are crucial and exotic phases develop. In one spatial dimension, a particularly successful method to analyze such problems is…

强关联电子 · 物理学 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda

We develop a renormalization group (RG) procedure that includes important system-specific features. The key ingredient is to systematize the coarse graining procedure that generates the RG flow. The coarse graining technology comes from…

统计力学 · 物理学 2015-05-13 David E. Reynolds

We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems…

强关联电子 · 物理学 2024-09-17 Rahul Soni , Harini Radhakrishnan , Bernd Rosenow , Gonzalo Alvarez , Adrian Del Maestro

The nonrelativistic reduction of the self-consistent covariant density functional theory is realized for the first time with the similarity renormalization group (SRG) method. The reduced nonrelativistic Hamiltonian and densities are…

核理论 · 物理学 2020-08-19 Z. X. Ren , P. W. Zhao

In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the…

强关联电子 · 物理学 2009-11-13 Ian P. McCulloch

We recently introduced [J. Chem. Phys. 152 2020, 204103] the nuclear-electronic all-particle density matrix renormalization group method (NEAP-DMRG) to solve the molecular Schr\"{o}dinger equation, based on a stochastically optimized…

化学物理 · 物理学 2022-01-31 Robin Feldmann , Andrea Muolo , Alberto Baiardi , Markus Reiher

We present a renormalization group (RG) procedure which works naturally on a wide class of interacting one-dimension models based on perturbed (possibly strongly) continuum conformal and integrable models. This procedure integrates Kenneth…

强关联电子 · 物理学 2016-07-05 Robert M. Konik , Yury Adamov

Optomechanical systems attract a lot of attention because they provide a novel platform for quantum measurements, transduction, hybrid systems, and fundamental studies of quantum physics. Their classical nonlinear dynamics is surprisingly…

量子物理 · 物理学 2020-01-28 Thales Figueiredo Roque , Florian Marquardt , Oleg M. Yevtushenko

We analyze the antiferromagnetic $\text{SU}(3)$ Heisenberg chain by means of the Density Matrix Renormalization Group (DMRG). The results confirm that the model is critical and the computation of its central charge and the scaling…

强关联电子 · 物理学 2009-02-17 M. Aguado , M. Asorey , E. Ercolessi , F. Ortolani , S. Pasini