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We investigate the ground state properties of a two-dimensional electron gas in the lowest Landau level using the Density Matrix Renormalization Group. The electron gas is confined to a cylinder with a strong magnetic field perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Emil J. Bergholtz , Anders Karlhede

In the approaches based on matrix-product states (MPSs), such as the density-matrix renormalization group (DMRG) method, the ordering of the sites crucially affects the computational accuracy. We investigate the performance of an algorithm…

Statistical Mechanics · Physics 2026-01-07 Ryo Watanabe , Toshiya Hikihara , Hiroshi Ueda

We propose to boost the performance of the density matrix renormalization group (DMRG) in two dimensions by using Gutzwiller projected states as the initialization ansatz. When the Gutzwiller projected state is properly chosen, the…

Strongly Correlated Electrons · Physics 2021-07-21 Hui-Ke Jin , Hong-Hao Tu , Yi Zhou

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…

Chemical Physics · Physics 2022-10-31 Pavel Beran , Katarzyna Pernal , Fabijan Pavosevic , Libor Veis

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…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

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…

Computational Physics · Physics 2020-02-18 Alberto Baiardi , Markus Reiher

The particle-hole version of the density-matrix renormalization-group method (PH-DMRG) is utilized to calculate the ground-state energy of an interacting two-dimensional quantum dot. We show that a modification of the method, termed…

Disordered Systems and Neural Networks · Physics 2008-03-26 Yuval Weiss , Richard Berkovits

Density functional calculations of Rydberg excited states up to high energy are carried out for several molecules using an approach where the orbitals are variationally optimized by converging on saddle points on the electronic energy…

Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. T. Petaja , M. J. Alava , H. Rieger

A dynamical model of the dielectric screening of conjugated polymers is introduced and solved using the density matrix renormalization group method. The model consists of a line of quantized dipoles interacting with a polymer chain. The…

Strongly Correlated Electrons · Physics 2009-11-10 William Barford , Robert Bursill , David Yaron

We analyze the properties of the quasiparticle excitations of metallic antiferromagnetic states in a strongly correlated electron system. The study is based on dynamical mean field theory (DMFT) for the infinite dimensional Hubbard model…

Strongly Correlated Electrons · Physics 2009-11-13 J. Bauer , A. C. Hewson

Wavefunctions restricted to electron pair states are promising models for strongly-correlated systems. Specifically, the pair Coupled Cluster Doubles (pCCD) ansatz allows us to accurately describe bond dissociation processes and…

Strongly Correlated Electrons · Physics 2019-05-01 Katharina Boguslawski

The polarizable embedding (PE) approach is a flexible embedding model where a pre-selected region out of a larger system is described quantum mechanically while the interaction with the surrounding environment is modeled through an…

Chemical Physics · Physics 2017-01-24 Erik D. Hedegård , Markus Reiher

The stripe state in the lowest Landau level is studied by the density matrix renormalization group (DMRG) method. The ground state energy and pair correlation functions are systematically calculated for various pseudopotentials in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Naokazu Shibata , Daijiro Yoshioka

Using parameter values relevant to polyacetylene and its finite polyene analogs, we determine, via exact finite size diagonalization of a 1D Peierls-Hubbard model, the relaxed geometry and optical absorption spectra of several states of…

Condensed Matter · Physics 2007-05-23 J. Tinka Gammel , D. K. Campbell

Orbital-optimized density functional theory (DFT) has emerged as an alternative to time-dependent (TD) DFT capable of describing difficult excited states with significant electron density redistribution, such as charge-transfer, Rydberg,…

Chemical Physics · Physics 2025-01-22 Hanh D. M. Pham , Rustam Z. Khaliullin

We present an approximate scheme for analytical gradients and nonadiabatic couplings for calculating state-average density matrix renormalization group self-consistent-field wavefunction. Our formalism follows closely the state-average…

Chemical Physics · Physics 2020-02-18 Leon Freitag , Yingjin Ma , Alberto Baiardi , Stefan Knecht , Markus Reiher

We present a matrix-product state (MPS)-based quadratically convergent density-matrix renormalization group self-consistent-field (DMRG-SCF) approach. Following a proposal by Werner and Knowles (JCP 82, 5053, (1985)), our DMRG-SCF algorithm…

Chemical Physics · Physics 2017-08-14 Yingjin Ma , Stefan Knecht , Sebastian Keller , Markus Reiher

We introduce and benchmark a systematically improvable route for excited-state calculations, state-specific configuration interaction ($\Delta$CI), \alert{which is a particular realization of multiconfigurational self-consistent field and…

Chemical Physics · Physics 2023-08-31 Fábris Kossoski , Pierre-François Loos

In this work, we present the first implementation of the transcorrelated electronic Hamiltonian in an optimization procedure for matrix product states by the density matrix renormalization group (DMRG) algorithm. In the transcorrelation…

Chemical Physics · Physics 2022-08-30 Alberto Baiardi , Michał Lesiuk , Markus Reiher