Linked-cluster expansion for quantum spin systems and the perpendicular susceptibility of the Ising model

1985 ◽  
Vol 32 (3) ◽  
pp. 1805-1812 ◽  
Author(s):  
Yung-Li Wang ◽  
Chris Wentworth ◽  
B. Westwanski
Author(s):  
Derek W. Robinson

AbstractUsing an estimate on the group velocity we give an independent proof of the existence of time translations for a large class of short range interactions. We demonstrate that these systems satisfy a strong form of causal propagation and that space-time algebras in suitable space-like directions are disjoint. Finally we derive criteria for dispersion of the interaction in terms of the algebraic density of the orbit of local subalgebras under the evolution or under the associated group of shifts. In this sense the Heisenberg and X-Y models are dispersive but the Ising model is not.


2006 ◽  
Vol 269 (3) ◽  
pp. 611-657 ◽  
Author(s):  
Marek Biskup ◽  
Lincoln Chayes ◽  
Shannon Starr

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  

2012 ◽  
Vol 14 (9) ◽  
pp. 093039 ◽  
Author(s):  
Florian Fröwis ◽  
Wolfgang Dür

1998 ◽  
Vol 31 (8) ◽  
pp. 2045-2056 ◽  
Author(s):  
Adam W Majewski ◽  
Robert Olkiewicz ◽  
Boguslaw Zegarlinski

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