Density matrix renormalization group DMRG

In modest sized systems, we can treat the nondynamic correlation in an active space. For systems with up to 14 orbitals, the complete-active-space self-consistent field (CASSCF) theory provides a very satisfactory description [2, 3]. More recently, the ab initio density matrix renormalization group (DMRG) theory has allowed us to obtain a balanced description of nondynamic correlation for up to 40 active orbitals and more [4-13]. CASSCF and DMRG potential energy... 

Abstract The density matrix renormalization group (DMRG) is an electronic structure... 

Among the technical methods proper to the one dimensional geometry, one may cite the Bethe ansatz [19], the bosonization techniques [18], and, more recently, the Density-Matrix Renormalization Group (DMRG) method (20, 21] and a closely related scheme which is directy considered in this note, the Recurrent Variational Approach (RVA) [22, 21], The two first methods are analytical and the third one is numerical the RVA method is in between. 

Recently, the key problems associated with the failure of the old RG method have been identified and a different renormalization procedure based on the eigenvalues of the many-body density matrix of proper subsystems has been developed [64, 65]. This method has come to be known as the density matrix renormalization group (DMRG) method and has found dramatic success in dealing with... 

The density matrix renormalization group (DMRG) method is an efficient and accurate Hilbert space truncation procedure (White 1992 1993) that can be used to solve quantum mechanical models on very large systems. It is particularly suited for one-dimensional quantum lattice models, such as the 7r-electron models discussed in this book. This appendix contains a brief review of the DMRG method relevant for these models. A full discussion of the method and its various applications may be found in (Peschel et al. 1999), (Dukelsky and Pittel 2004), or (Schollwock 2005). 

One of these techniques is the density matrix renormalization group (DMRG) proposed by White in 1992. " In this method, one builds the... 

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