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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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