Exact ground states for a class of one-dimensional frustrated quantum spin models

1997 ◽  
Vol 56 (10) ◽  
pp. 5985-5995 ◽  
Author(s):  
D. V. Dmitriev ◽  
V. Ya. Krivnov ◽  
A. A. Ovchinnikov
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Models ◽  
One Dimensional ◽  
Quantum Spin Models

Nature of Ferrimagnetic Ground States in Quantum Spin Models

2005 ◽  
Vol 74 (Suppl) ◽  
pp. 71-74 ◽  
Author(s):  
Shin-ichiro Yoshikawa ◽  
Seiji Miyashita
Keyword(s):  
Ground States ◽  
Quantum Spin ◽  
Spin Models ◽  
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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