Effects of geometry on transfer matrices, spin chains and critical behaviour
作者:
Brian Davies,
Ingo Peschel,
期刊:
Annalen der Physik
(WILEY Available online 1993)
卷期:
Volume 505,
issue 1
页码: 79-91
ISSN:0003-3804
年代: 1993
DOI:10.1002/andp.19935050107
出版商: WILEY‐VCH Verlag
关键词: Ising model;Parabolic boundaries;Transfer matrices;Magnetization
数据来源: WILEY
摘要:
AbstractWe consider two‐dimensional Ising models bounded by general parabolic curves and study their transfer matrices and associated quantum spin chains. We derive their eigenvalue spectra numerically and analytically, both at the critical point and in its vicinity. From this we find how the geometrical form of the system is reflected in the spectrum and how it influences the critical behaviour near the ti
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