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Numerical methods for nanoscopic systems based on density matrix renormalization
(American Scientific Publishers, 2008-12)
The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to nanoscopic and low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise ...
Solving the multi-site and multi-orbital Dynamical Mean Field Theory using Density Matrix Renormalization
(Frontiers Research Foundation, 2018-02)
We implement an efficient numerical method to calculate response functions of complex impurities based on the Density Matrix Renormalization Group (DMRG) and use it as the impurity-solver of the Dynamical Mean Field Theory ...
Zero-site density matrix renormalization group and the optimal low-rank correction
(American Physical Society, 2020-02)
A zero-site density matrix renormalization algorithm (DMRG0) is proposed to minimize the energy of matrix product states (MPS). Instead of the site tensors themselves, we propose to optimize sequentially the “message” ...
Mott transition in the Hubbard model away from particle-hole symmetry
(American Physical SocCollege PkEUA, 2007)
New trends in density matrix renormalization
(Taylor & Francis Ltd, 2006-07)
The density matrix renormalization group (DMRG) has become a powerful numerical method that can be applied to low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise calculation of ...
The metal-insulator transition in the paramagnetic Hubbard Model
(Elsevier Science, 2008-04)
We study the Mott transition in the Hubbard Model within the dynamical mean field theory (DMFT) approach. The DMFT equations are solved using the density matrix renormalization group technique. The densities of states for ...
Metal-insulator transition in correlated systems: A new numerical approach
(Elsevier Science, 2007-09)
We study the Mott transition in the Hubbard model within the dynamical mean field theory approach where the density matrix renormalization group method is used to solve its self-consistent equations. The DMRG technique ...