scholarly journals Exactly solvable two-dimensional quantum spin models

1999 ◽  
Vol 88 (1) ◽  
pp. 138-147 ◽  
Author(s):  
D. V. Dmitriev ◽  
V. Ya. Krivnov ◽  
A. A. Ovchinnikov
Keyword(s):  
Quantum Spin ◽  
Two Dimensional ◽  
Spin Models ◽  
Exactly Solvable ◽  
Quantum Spin Models

scholarly journals Exactly solvable -type quantum spin models with long-range interaction

2009 ◽  
Vol 812 (3) ◽  
pp. 402-423 ◽  
Author(s):  
B. Basu-Mallick ◽  
F. Finkel ◽  
A. González-López
Keyword(s):  
Long Range ◽  
Quantum Spin ◽  
Range Interaction ◽  
Spin Models ◽  
Exactly Solvable ◽  
Long Range Interaction ◽  
Quantum Spin Models ◽  
Solvable Type

Exactly solvable 1D frustrated quantum spin models

1996 ◽  
Vol 103 (2) ◽  
pp. 193-199 ◽  
Author(s):  
D.V. Dmitriev ◽  
V.Ya. Krivnov ◽  
A.A. Ovchinnikov
Keyword(s):  
Quantum Spin ◽  
Spin Models ◽  
Exactly Solvable ◽  
Quantum Spin Models

scholarly journals THOULESS NUMBER AND SPIN DIFFUSION IN QUANTUM HEISENBERG FERROMAGNETS

1993 ◽  
Vol 07 (27) ◽  
pp. 1747-1759 ◽  
Author(s):  
PETER KOPIETZ
Keyword(s):  
Spin Diffusion ◽  
Nearest Neighbor ◽  
Arbitrary Dimension ◽  
Quantum Spin ◽  
Spin Systems ◽  
Heisenberg Ferromagnet ◽  
Electronic Systems ◽  
Dimensionless Frequency ◽  
Spin Models ◽  
Quantum Spin Models

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.

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