scholarly journals Free fermion branches in some quantum spin models

2002 ◽  
Author(s):  
Yuri Stroganov ◽  
F. C. Alcaraz
2002 ◽  
Vol 35 (32) ◽  
pp. 6767-6787 ◽  
Author(s):  
F C Alcaraz ◽  
Yu G Stroganov

1993 ◽  
Vol 07 (27) ◽  
pp. 1747-1759 ◽  
Author(s):  
PETER KOPIETZ

Using an analogy between the conductivity tensor of electronic systems and the spin stiffness tensor of spin systems, we introduce the concept of the Thouless number g0 and the dimensionless frequency-dependent conductance g(ω) for quantum spin models. It is shown that spin diffusion implies the vanishing of the Drude peak of g(ω), and that the spin diffusion coefficient Ds is proportional to g0. We develop a new method based the Thouless number to calculate D s , and present results for D s in the nearest-neighbor quantum Heisenberg ferromagnet at infinite temperatures for arbitrary dimension d and spin S.


2009 ◽  
Vol 812 (3) ◽  
pp. 402-423 ◽  
Author(s):  
B. Basu-Mallick ◽  
F. Finkel ◽  
A. González-López

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