Ising antiferromagnets

First, the Dy3 triangle reported by Powell et al., showing SMM behaviour of thermally excited spin states, can be regarded as the archetype of the non-collinear Ising antiferromagnetic arrangement in triangular lattices [28], as seen in several coupled Dy3 (Dy6) complexes [13, 29, 30]. Second, the excellent... 

Figure 13 The perpendicular susceptibility as a function of temperature for (a) an Ising antiferromagnet and (b) an XY-antiferromagnet. (Ref 12. Reproduced by permission of Taylor Francis)...

The perpendicular susceptibilities of the Ising a = 0) antiferromagnetic chain and XY(/3 = 0) chain likewise have rounded maxima and remain finite as the temperature descends to zero (Figure 13). The parallel susceptibility of the Ising antiferromagnet decreases exponentially to zero as the temperature drops, in response to the energy gap in the Ising spectrum. 

The generalized notation makes sense even for a classical system. Consider, for example, an Ising antiferromagnet in a magnetic field ... 

For example, to investigate a phase transition as a function of the magnetic field h in an Ising antiferromagnet with Hamilton function (58) one would construct a histogram H M) of the magnetization M = and store... 

One big difference between one- and two-dimensional systems is that whereas the former never order above 0 K (without interchain interactions), it is possible for a two-dimensional Ising system to order at finite temperature. Onsager has examined such a system for S = 1/2 and found theoretical evidence for ordering, on a square lattice and even if the coupling anisotropy in the two directions on a quadratic lattice (defined to be ]/] ) is 100. An example that behaves as a two-dimensional Ising antiferromagnet is CsslCoBrs]. " ... 

H. Meirovitch, Phys. Rev. B, 30,2866 (1984). Computer Simulation Study of Hysteresis and Free Energy in the fee Ising Antiferromagnet. 

K. Binder, Z. Phys. B, 45, 61 (1981). Monte Carlo Study of Entropy for Face-Centered-Cu-bic Ising Antiferromagnet. 

Ising antiferromagnets) with px parallel to the c-axis. In the gadolinium compounds the exchange interactions are dominant, the dipolar field... 

Coexistence of spin-glass and Ising antiferromagnetic ordering... 

The problem of the frustrated Ising antiferromagnet on a (pyrochlore) lattice of comer-shared tetrahedra has been related to the water ice problem [14]. Spin ice materials are characterized by disorder of magnetic ions even when said ions are at very low temperatures. AC magnetic susceptibility measurements find evidence for a dynamical freezing of the magnetic moments as the temperature is lowered somewhat below the temperature at which the specific heat displays a maximum. 

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