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Compression of Hamiltonian matrix: Application to spin-1/2 Heisenberg square lattice

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Title
Compression of Hamiltonian matrix: Application to spin-1/2 Heisenberg square lattice
Author
Choi, SeongsooKim, WoohyunKim, Jongho
Issue Date
2016-09
Publisher
AMER INST PHYSICS
Citation
AIP ADVANCES, v.6, no.9, pp.095024
Abstract
We introduce a simple algorithm providing a compressed representation (is an element of R-NorbitsxNorbits x N-Norbits) of an irreducible Hamiltonian matrix (number of magnons M constrained, dimension: N-spins!/M!(N-spins-M)! > N-orbits) of the spin-1/2 Heisenberg anti-ferromagnet on the L x L non-periodic lattice, not looking for a good basis. As L increases, the ratio of the matrix dimension to Norbits converges to 8 (order of the symmetry group of square) for the exact ground state computation. The sparsity of the Hamiltonian is retained in the compressed representation. Thus, the computational time and memory consumptions are reduced in proportion to the ratio. (C) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
URI
https://scholarworks.unist.ac.kr/handle/201301/20698
URL
http://scitation.aip.org/content/aip/journal/adva/6/9/10.1063/1.4963834
DOI
10.1063/1.4963834
ISSN
2158-3226
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ETC_Journal Papers
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