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We study the one-dimensional $S=1/2$ Heisenberg model with a uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties…

强关联电子 · 物理学 2007-10-19 S. Nishimoto , M. Arikawa

The natural orbitals renormalization group (NORG) has previously been proposed as an efficient numerical method for solving zero-temperature properties of multisite and multiorbital quantum impurity systems. Here, we implement the NORG as…

强关联电子 · 物理学 2022-09-29 Jia-Ming Wang , Yin Chen , Yi-Heng Tian , Rong-Qiang He , Zhong-Yi Lu

The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the…

强关联电子 · 物理学 2016-11-29 Dayasindhu Dey , Debasmita Maiti , Manoranjan Kumar

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

The numerical renormalization group (NRG) has been widely used as a magnetic impurity solver since the pioneering works by Wilson. Over the past decades, a significant attention has been focused on the application of symmetries in order to…

强关联电子 · 物理学 2024-10-17 Aitor Calvo-Fernández , María Blanco-Rey , Asier Eiguren

We introduce an improved approach for obtaining smooth finite-temperature spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique. It is based on calculating first the Green's function on the…

强关联电子 · 物理学 2013-07-10 Žiga Osolin , Rok Žitko

We study the dynamical density matrix renormalization group (DDMRG) and time-dependent density matrix renormalization group (td-DMRG) algorithms in the ab initio context, to compute dynamical correlation functions of correlated systems. We…

化学物理 · 物理学 2017-11-21 Enrico Ronca , Zhendong Li , Carlos A. Jimenez-Hoyos , Garnet Kin-Lic Chan

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

The time-dependent numerical renormalization group (td-NRG) [Anders et al. Phys. Rev. Lett. {\bf 95}, 196801 (2006)] offers the prospect of investigating in a non-perturbative manner the time-dependence of local observables of interacting…

强关联电子 · 物理学 2014-02-20 H. Nghiem , T. A. Costi

The full-density-matrix numerical renormalization group (NRG) has evolved as a systematic and transparent setting for the cal- culation of thermodynamical quantities at arbitrary temperatures within the NRG framework. It directly evaluates…

强关联电子 · 物理学 2013-05-30 Andreas Weichselbaum

We study a Kondo impurity model with additional uniaxial anisotropy D in a non-zero magnetic field B using the Numerical Renormalization Group (NRG). The ratio g_e/g_S of electron and impurity g-factor is regarded as a free parameter and,…

强关联电子 · 物理学 2013-06-21 M. Höck , J. Schnack

We develop a method for calculating the self-energy of a quantum impurity coupled to a continuous bath by stochastically generating a distribution of finite Anderson models that are solved by exact diagonalization, using the noninteracting…

强关联电子 · 物理学 2012-09-13 Mats Granath , Hugo U. R. Strand

Based on the original idea of the density matrix renormalization group (DMRG), i.e. to include the missing boundary conditions between adjacent blocks of the blocked quantum system, we present a rigorous and nonperturbative mathematical…

统计力学 · 物理学 2009-10-31 Andreas Degenhard

We implement and apply time-dependent density matrix renormalization group (TD-DMRG) algorithms at zero and finite temperature to compute the linear absorption and fluorescence spectra of molecular aggregates. Our implementation is within a…

化学物理 · 物理学 2019-07-30 Jiajun Ren , Zhigang Shuai , Garnet Kin-Lic Chan

The time-dependent numerical renormalization group method (TDNRG) [Anders et al., Phys. Rev. Lett. {\bf 95}, 196801 (2005)] was recently generalized to multiple quenches and arbitrary finite temperatures [Nghiem et al., Phys. Rev. B {\bf…

强关联电子 · 物理学 2014-07-23 H. T. M. Nghiem , T. A. Costi

The density-matrix renormalization-group (DMRG) algorithm is extended to treat time-dependent problems. The method provides a systematic and robust tool to explore out-of-equilibrium phenomena in quantum many-body systems. We illustrate the…

介观与纳米尺度物理 · 物理学 2009-11-07 M. A. Cazalilla , J. B. Marston

The numerical study of anyonic systems is known to be highly challenging due to their non-bosonic, non-fermionic particle exchange statistics, and with the exception of certain models for which analytical solutions exist, very little is…

强关联电子 · 物理学 2015-12-25 Robert N. C. Pfeifer , Sukhwinder Singh

Accurate numerical simulations of a doped t-J model on a two-leg ladder are presented for the particle number, chemical potential, magnetic susceptibility and entropy in the limit of large exchange coupling on the rung using a finite…

凝聚态物理 · 物理学 2009-10-31 Beat Ammon , Matthias Troyer , T. M. Rice , N. Shibata

The Wilsonian renormalization group (RG) method is applied to finite temperature systems for the study of non-perturbative methods in the field theory. We choose the O(N) linear sigma model as the first step. Under the local potential…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Umekawa , K. Naito , M. Oka

We investigate the application of the density-matrix renormalization group (DMRG) algorithm to a one-dimensional harmonic oscillator chain and compare the results with exact solutions, aiming to improve the algorithm efficiency. It has been…

量子物理 · 物理学 2015-06-19 Yongjun Ma , Jiaxiang Wang , Xinye Xu , Qi Wei , Sabre Kais