scholarly journals Density-matrix renormalization group study of the extended Kitaev-Heisenberg model

2015 ◽  
Vol 91 (5) ◽  
Author(s):  
Kazuya Shinjo ◽  
Shigetoshi Sota ◽  
Takami Tohyama
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Heisenberg Model ◽  
Density Matrix Renormalization Group ◽  
Density Matrix Renormalization

HEISENBERG MODEL AND ITS APPLICATIONS TO π-CONJUGATED SYSTEMS

2002 ◽  
Vol 01 (02) ◽  
pp. 351-371 ◽  
Author(s):  
SHUHUA LI ◽  
JING MA ◽  
YUANSHENG JIANG
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Heisenberg Model ◽  
Lanczos Method ◽  
Density Matrix Renormalization Group ◽  
Paper Briefly ◽  
Excitation Spectra ◽  
Conjugated Systems ◽  
Density Matrix Renormalization ◽  
Higher Order Corrections

This paper briefly reviewed the Heisenberg model and its improvement by including higher order corrections, and their applications to bond lengths, stability, and reactivity of non-benzenoids and the low-lying excitation spectra of conjugated systems. Two efficient computational methods, the Lanczos method and the density-matrix renormalization group (DMRG), for exactly and approximately solving various Heisenberg models, respectively, were briefly introduced.

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