Finite size and finite temperature studies of the osp(1|2) spin chain

We studied a quantum spin chain invariant by the superalgebra osp(1|2). We derived non-linear integral equations for the row-to-row transfer matrix eigenvalue in order to analyze its finite size scaling behavior and we determined its central charge. We also studied the thermodynamical properties of...

Full description

Bibliographic Details
Main Authors: T.S. Tavares, G.A.P. Ribeiro
Format: Article
Language:English
Published: Elsevier 2017-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317301943
id doaj-fedb7b6f47aa4a819ea84d9be3360500
record_format Article
spelling doaj-fedb7b6f47aa4a819ea84d9be33605002020-11-24T22:53:45ZengElsevierNuclear Physics B0550-32131873-15622017-08-01921C35737410.1016/j.nuclphysb.2017.05.020Finite size and finite temperature studies of the osp(1|2) spin chainT.S. TavaresG.A.P. RibeiroWe studied a quantum spin chain invariant by the superalgebra osp(1|2). We derived non-linear integral equations for the row-to-row transfer matrix eigenvalue in order to analyze its finite size scaling behavior and we determined its central charge. We also studied the thermodynamical properties of the spin chain via non-linear integral equations for the quantum transfer matrix eigenvalue. We numerically solved these NLIE and evaluated the specific heat and magnetic susceptibility. The analytical low temperature analysis was performed providing the effective central charge. The computed values are in agreement with the numerical predictions in the literature.http://www.sciencedirect.com/science/article/pii/S0550321317301943
collection DOAJ
language English
format Article
sources DOAJ
author T.S. Tavares
G.A.P. Ribeiro
spellingShingle T.S. Tavares
G.A.P. Ribeiro
Finite size and finite temperature studies of the osp(1|2) spin chain
Nuclear Physics B
author_facet T.S. Tavares
G.A.P. Ribeiro
author_sort T.S. Tavares
title Finite size and finite temperature studies of the osp(1|2) spin chain
title_short Finite size and finite temperature studies of the osp(1|2) spin chain
title_full Finite size and finite temperature studies of the osp(1|2) spin chain
title_fullStr Finite size and finite temperature studies of the osp(1|2) spin chain
title_full_unstemmed Finite size and finite temperature studies of the osp(1|2) spin chain
title_sort finite size and finite temperature studies of the osp(1|2) spin chain
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-08-01
description We studied a quantum spin chain invariant by the superalgebra osp(1|2). We derived non-linear integral equations for the row-to-row transfer matrix eigenvalue in order to analyze its finite size scaling behavior and we determined its central charge. We also studied the thermodynamical properties of the spin chain via non-linear integral equations for the quantum transfer matrix eigenvalue. We numerically solved these NLIE and evaluated the specific heat and magnetic susceptibility. The analytical low temperature analysis was performed providing the effective central charge. The computed values are in agreement with the numerical predictions in the literature.
url http://www.sciencedirect.com/science/article/pii/S0550321317301943
work_keys_str_mv AT tstavares finitesizeandfinitetemperaturestudiesoftheosp12spinchain
AT gapribeiro finitesizeandfinitetemperaturestudiesoftheosp12spinchain
_version_ 1725661973874475008