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We develop a correction to the density matrix used in density matrix renormalization group calculations to take into account the incompleteness of the environment block. The correction allows successful calculations using only a single site…

Strongly Correlated Electrons · Physics 2016-08-31 Steven R. White

An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an infinite two-dimensional lattice. Here we…

Strongly Correlated Electrons · Physics 2013-05-29 Roman Orus , Guifre Vidal

In applications of the density matrix renormalization group to nonhermitean problems, the choice of the density matrix is not uniquely prescribed by the algorithm. We demonstrate that for the recently introduced stochastic transfer matrix…

Statistical Mechanics · Physics 2007-05-23 Tilman Enss , Ulrich Schollwoeck

We have applied the momentum space version of the Density Matrix Renormalization Group method ($k$-DMRG) in quantum chemistry in order to study the accuracy of the algorithm in the new context. We have shown numerically that it is possible…

Strongly Correlated Electrons · Physics 2009-02-06 O. Legeza , J. Roder , B. A. Hess

We investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of…

Statistical Mechanics · Physics 2007-05-23 T. Papenbrock , T. Barnes , D. J. Dean , M. V. Stoitsov , M. R. Strayer

We discuss a method based on sampling minimally entangled typical thermal states (METTS) that can simulate finite temperature quantum systems with a computational cost comparable to ground state DMRG. Detailed implementations of each step…

Strongly Correlated Electrons · Physics 2010-06-01 E. M. Stoudenmire , Steven R. White

Strong-Disorder Renormalization Group (SDRG), despite being a relatively simple real-space renormalization procedure, provides in principle exact results on the critical properties at the infinite-randomness fixed point of random quantum…

Statistical Mechanics · Physics 2020-01-29 Christophe Chatelain

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…

Strongly Correlated Electrons · Physics 2007-05-23 Marie-Bernadette Lepetit , Maixent Cousy , G. M. Pastor

The Density Matrix Renormalization Group (DMRG) method is developed for application to realistic nuclear systems. Test results are reported for 24Mg.

Nuclear Theory · Physics 2007-05-23 S. S. Dimitrova , S. Pittel , J. Dukelsky , M. V. Stoitsov

I revisit the infinite-size variant of the Density Matrix Renormalization Group (iDMRG) algorithm for obtaining a fixed-point translationally invariant matrix product wavefunction in the context of one-dimensional quantum systems. A crucial…

Strongly Correlated Electrons · Physics 2008-04-17 I. P. McCulloch

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

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new…

Strongly Correlated Electrons · Physics 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

We discuss the development of an angular-momentum-conserving variant of the Density Matrix Renormalization Group (DMRG) method for use in large-scale shell-model calculations of atomic nuclei and report a first application of the method to…

Nuclear Theory · Physics 2009-02-09 B. Thakur , S. Pittel , N. Sandulescu

We study one dimensional models of diatomic molecules where both the electrons and nuclei are treated as quantum particles, going beyond the usual Born-Oppenheimer approximation. The continuous system is approximated by a grid which…

Strongly Correlated Electrons · Physics 2020-10-02 Mingru Yang , Steven R. White

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…

Chemical Physics · Physics 2019-07-30 Jiajun Ren , Zhigang Shuai , Garnet Kin-Lic Chan

The symmetrized Density-Matrix-Renormalization-Group (DMRG) method is used to study linear and nonlinear optical properties of Free base porphine and metallo-porphine. Long-range interacting model, namely, Pariser-Parr-Pople (PPP) model is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Manoranjan Kumar , Y. Anusooya Pati , S. Ramasesha

The reduced-density-matrix method is an promising candidate for the next generation electronic structure calculation method; it is equivalent to solve the Schr\"odinger equation for the ground state. The number of variables is the same as a…

Strongly Correlated Electrons · Physics 2011-06-27 Maho Nakata , Mituhiro Fukuda , Katsuki Fujisawa

We reformulate the density matrix renormalization group method (DMRG) in terms of a single block, instead of the standard left and right blocks used in the construction of the superblock. This version of the DMRG, which we call the puncture…

Condensed Matter · Physics 2009-10-31 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

We report a physical background of the wave function prediction in the infinite system density matrix renormalization group (DMRG) method, from the view point of two-dimensional vertex model, a typical lattice model in statistical…

Statistical Mechanics · Physics 2010-05-20 Hiroshi Ueda , Andrej Gendiar , Tomotoshi Nishino

We have extended the density matrix renormalization group (DMRG) approach to two-fluid open many-fermion systems governed by complex-symmetric Hamiltonians. The applications are carried out for three- and four-nucleon (proton-neutron)…

Nuclear Theory · Physics 2009-01-22 J. Rotureau , N. Michel , W. Nazarewicz , M. Ploszajczak , J. Dukelsky
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