scholarly journals Application of density matrix renormalization group to one-dimensional Hubbard model to study strongly correlated electrons system

2019 ◽  
Vol 14 (9) ◽  
pp. 88-96
Author(s):  
Ebenezer Odeyemi Olusanmi ◽  
Samson Olayinka Akinola ◽  
Imooah Ejere Arthur ◽  
Samuel Okunzuwa Ikponmwosa ◽  
Eddy Aigbekaen Enorense ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Hubbard Model ◽  
Strongly Correlated Electrons ◽  
Correlated Electrons ◽  
Density Matrix Renormalization Group ◽  
Strongly Correlated ◽  
One Dimensional ◽  
Density Matrix Renormalization

RECENT PROGRESS IN THE DENSITY-MATRIX RENORMALIZATION GROUP

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2564-2575 ◽  
Author(s):  
ULRICH SCHOLLWÖCK
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Quantum Systems ◽  
Density Matrix Renormalization Group ◽  
Strongly Correlated ◽  
Powerful Method ◽  
Numerical Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Quantum Impurity

Over the last decade, the density-matrix renormalization group (DMRG) has emerged as the most powerful method for the simulation of strongly correlated one-dimensional (1D) quantum systems. Input from quantum information has allowed to trace the method's performance to the entanglement properties of quantum states, revealing why it works so well in 1D and not so well in 2D; it has allowed to devise algorithms for time-dependent quantum systems and, by clarifying the link between DMRG and Wilson's numerical renormalization group (NRG), for quantum impurity systems.

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