Heisenberg antiferromagnetism

Single-ion bound excitations in S= 1 Heisenberg antiferromagnetic chains with strong planar anisotropy. 

A spin-reduction property cannot be obtained for all the antiferromagnetic compounds. Thus, if ferromagnetic layers are weakly coupled antiferromagnetically, the zero-point spin-reduction will be negligible because the main interaction is the ferromagnetic one. The most impressive examples of spin reduction have been found in 2-D and 1-D Heisenberg antiferromagnetic fluorides. 

A,A -bis(2-((o-hydroxybenzhydrylidene)amino)ethyl)-1,2-ethanediamine), a one-dimensional Heisenberg antiferromagnet having through-bond coupled copper(II) ions. Inorg. Chem. 22, 1468. 

The equivalent Heisenberg, antiferromagnetic, spin-exchange Hamiltonian... 

Table 1 Coefficients for the expansion of the molar magnetic susceptibility of the X = 1 /2 Heisenberg antiferromagnetic chain in equation (36). This expression is valid over the temperature range 0.01 < r/ 27 < 5...

Figure 10 Comparison of the relative molar susceptibilities as a function of relative temperature (T/21 /1) for five S = 1/2 Heisenberg antiferromagnet lattices a dimer, an alternating chain with an alternation parameter a = 0.5, a uniform chain, a spin ladder with /nmg//raii = 2, and a square lattice. The value of / is the same for all curves...

The compound CuGe03 is a one-dimensional Heisenberg antiferromagnetic material which undergoes a spin-Peierls (SP) transition at about 14 K, at which spin and lattice dimerisations may simultaneously occur. Cu and Cu NMR and NQR measurements have provided information about the Cu " electronic state and the spin dynamics in this material (Itoh et al. 1995). An anisotropic Knight shift with axial symmetry was observed and analysis of its temperature dependence suggested a decrease in the spin... 

J. Kim and M. Troyer (1998) Low temperature behavior and crossovers of the square lattice quantum Heisenberg antiferromagnet. Phys. Rev. Lett. 80, p. 2705... 

M. S. Makivic and H. Q. Ding (1991) Two-dimensional spin-1/2 Heisenberg antiferromagnet A quantum Monte Carlo study. Phys. Rev. B 43, p. 3562... 

K. Harada, M. Troyer and N. Kawashima (1998) The two-dimensional spin-1 quantum Heisenberg antiferromagnet at finite temperatures. J. Phys. Soc. Jpn. 67, p. 1130... 

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