scholarly journals Density matrix renormalization group pair-density functional theory (DMRG-PDFT): singlet–triplet gaps in polyacenes and polyacetylenes

2019 ◽  
Vol 10 (6) ◽  
pp. 1716-1723 ◽  
Author(s):  
Prachi Sharma ◽  
Varinia Bernales ◽  
Stefan Knecht ◽  
Donald G. Truhlar ◽  
Laura Gagliardi

The density matrix renormalization group (DMRG) is a powerful method to treat static correlation.

2015 ◽  
Vol 142 (4) ◽  
pp. 044111 ◽  
Author(s):  
Thomas Dresselhaus ◽  
Johannes Neugebauer ◽  
Stefan Knecht ◽  
Sebastian Keller ◽  
Yingjin Ma ◽  
...  

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2564-2575 ◽  
Author(s):  
ULRICH SCHOLLWÖCK

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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