Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators

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• 作者：B. Basu-Mallick^a ; ^{bireswar.basumallick@saha.ac.in" class="auth_mail} ; Nilanjan Bondyopadhaya^b ; ^{nilanjan.iserc@visva-bharati.ac.in" class="auth_mail} ; Pratyay Banerjee^a ; ^{pratyay.banerjee@saha.ac.in" class="auth_mail}
• 刊名：Nuclear Physics B
• 出版年：June 2014
• 年：2014
• 卷：883
• 期：Complete
• 页码：501-528
• 全文大小：452 K

文摘

We construct polarized spin reversal operator (PSRO) which yields a class of representations for the BC_N${\mathit{BC}}_N$ type of Weyl algebra, and subsequently use this PSRO to find out novel exactly solvable variants of the BC_N${\mathit{BC}}_N$ type of spin Calogero model. The strong coupling limit of such spin Calogero models generates the BC_N${\mathit{BC}}_N$ type of Polychronakos spin chains with PSRO. We derive the exact spectra of the BC_N${\mathit{BC}}_N$ type of spin Calogero models with PSRO and compute the partition functions of the related spin chains by using the freezing trick. We also find out an interesting relation between the partition functions of the BC_N${\mathit{BC}}_N$ type and A_N−1$A_{N-1}$ type of Polychronakos spin chains. Finally, we study spectral properties like level density and distribution of spacing between consecutive energy levels for BC_N${\mathit{BC}}_N$ type of Polychronakos spin chains with PSRO.