Conservation laws for Z(N) symmetric quantum spin models and their exact ground state energies

1986 ◽  
Vol 275 (3) ◽  
pp. 436-458 ◽  
Author(s):  
Francisco C. Alcaraz ◽  
A. Lima Santos
Keyword(s):  
Conservation Laws ◽  
Ground State ◽  
Quantum Spin ◽  
Spin Models ◽  
Exact Ground State ◽  
Symmetric Quantum ◽  
Quantum Spin Models ◽  
Ground State Energies

scholarly journals Ground-state properties of linear-exchange quantum spin models

2012 ◽  
Vol 100 (2) ◽  
pp. 27003 ◽  
Author(s):  
Bimla Danu ◽  
Brijesh Kumar ◽  
Ramesh V. Pai
Keyword(s):  
Ground State ◽  
Quantum Spin ◽  
Spin Models ◽  
Ground State Properties ◽  
Quantum Spin Models ◽  
Linear Exchange

Zero-temperature properties of quantum spin models on the triangular lattice III: the Heisenberg antiferromagnet

1987 ◽  
Vol 65 (5) ◽  
pp. 489-491 ◽  
Author(s):  
S. Fujiki
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
State Energy ◽  
Spin Correlation ◽  
Quantum Spin ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Spin Models ◽  
Spin Correlations ◽  
Quantum Spin Models

The calculation of two- and four-spin correlations of the [Formula: see text] Heisenberg antiferromagnet has been extended to an N = 21 site triangular lattice. The infinite-lattice ground state energy per bond is estimated to be E0/3NJ = −0.3678 ± 0.005 by fitting a quadratic in 1/N to the finite N data. The plaquette chirality order is slightly greater than in the XY antiferromagnet. The two-spin correlation is conjectured to decay as [Formula: see text].

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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