We report a systematic study of both quantum and classical geometrically frustrated Ising models with competing ordering mechanism. The ordering comes in the classical case from a coupling of two-dimensional (2D) layers and in the quantum model from the quantum dynamics induced by a transverse field. We develop a microscopic derivation of the Landau–Ginzburg–Wilson (LGW) Hamiltonian for these m...

– Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the ’deconfined critical points’ exhibiting fractionalization of quantum numbers due to Berry phase effects. Such transitions are supposed to occur in frustrated (’J1-J2’) quantum magnets. We have developed a novel renormalization approach for such systems whic...

Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn...

The use of natural hypoglycemic compounds is important in preventing and managing Type 2 diabetes mellitus (T2DM). Forty male Sprague-Dawley rats weighing 150-180 g were divided into four groups to investigate the effects of the compounds in stay-green wheat (SGW), a novel variety of wheat in China, on T2DM rats. The control group (NDC) was fed with a standard diet, while T2DM was induced in th...

2014 The phase equilibrium in polymer-solvent systems has been described in terms of the Landau-Ginzburg-Wilson model. The scaling law for the coexistence curve which has been derived in the present article is in good agreement with the experimental data. The prediction of the present theory that the scaling region narrows with increasing degree of polymerization, is consistent with the experim...

In recent years, much attention has been focused on the mentally ill offender, particularly those found "not guilty by reason of insanity" and "unfit to stand trial." The more recent trial and verdict involving John Hinckley, Jr., in the United States, has given momentum to the desire on the part of some to completely change the system. In Canada, the 1976 report of the Law Reform Commission on...

2014 A review is presented of several magnetic structure studies performed recently by neutron diffraction methods. These include a study of the low temperature transition in Fe3O4 by Hamilton and experiments by Roth on the magnetic structure ambiguities of the transition element monoxides. Recent studies using polarized neutron beam techniques are described and data presented on the ferromagne...

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J , phase separation occurs across or within the two layers. The former transitions are controlled by the universality class of model A (corresponding to an Ising model with Glauber dynamics), with upper critical dimension...

We use the Wilson-Fisher ǫ expansion to study quantum critical behavior in gauged Yukawa matrix field theories with weak quenched disorder. We find that the resulting quantum critical behavior is in the universality class of the pure system. As in the pure system, the phase transition is typically first order, except for a limited range of parameters where it can be second order with computable...

– We examine the crossover from classical to non-classical critical behaviour in twodimensional systems with a one-component order parameter. Since the degree of universality of the corresponding crossover functions is still subject to debate, we try to induce non-universal effects by adding interactions with a second length scale. Although the crossover functions clearly depend on the range of...