scholarly journals Quantum phase diagram of spin-1 J1−J2 Heisenberg model on the square lattice: An infinite projected entangled-pair state and density matrix renormalization group study

2018 ◽  
Vol 97 (18) ◽  
Author(s):  
R. Haghshenas ◽  
Wang-Wei Lan ◽  
Shou-Shu Gong ◽  
D. N. Sheng
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Heisenberg Model ◽  
Quantum Phase ◽  
Square Lattice ◽  
Density Matrix Renormalization Group ◽  
Density Matrix Renormalization ◽  
Pair State

RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Energy Scale ◽  
Quantum Spin ◽  
Spin Chains ◽  
Density Matrix Renormalization Group ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Density Matrix Renormalization

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

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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