Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice

We study the magnetization for the classical antiferromagnetic Ising model on the Shastry-Sutherland lattice using the tensor renormalization group approach. With this method, one can probe large spin systems with little finite-size effect. For a range of temperature and coupling constant, a single magnetization plateau at one third of the saturation value is found. We investigate the dependence of the plateau width on temperature and on the strength of magnetic frustration. Furthermore, the spin configuration of the plateau state at zero temperature is determined.Comment: 6 pages, 8 figure

Protected Methionine and Heat-Treated Soybean Meal for High-Producing Dairy Cows

The effectiveness of a rumen-protected methionine preparation was studied as an amino acid source for high-producing dairy cows during wk 4 through 16 postpartum. Twenty-four Holstein cows (14 primiparous and 10 multiparous) were fed concentrate containing heat-treated· soybean meal without or with 50 g/cow/day of added ruminally protected methionine product which provided 15 g of added DL-methionine daily. Cows were fed 16% crude protein mixed diets containing 30% of dry matter as corn silage, 15% as alfalfa hay, and 55% as concentrate. Milk production and composition were adjusted for pretreatment values (3 wk postpartum) by analysis of covariance. Adjusted milk yields (34.6 and 33.1 kg/day) were higher for cows fed heated soybean meal, but this difference was accounted for by higher pretreatment production (32.6 and 36.9 kg/day) of multiparous cows fed supplemental methionine. Production of 4% fat-corrected milk (28.5 and 27.6 kg/day) and solids-corrected milk (29.0 and 28.5 kg/day) was similar for cows fed both diets. Percentages of fat (2.81 and 2.92) and protein (2.88 and 2.92) were similar, while total solids (11.49 and 12.69) and solids-not-fat (8.68 and 8.77) were higher when cows were fed supplemental methionine. Milk protein percent (2.89 and 2.99) and milk protein production (.97 and 1.00 kg/day) were increased for primiparous cows fed supplemental methionine. Fatty acid composition in milk was similar. Dry matter intakes (20.2 and 21.0 kg/day) were higher especially in multiparous cows (21.5 and 23.8 kg/day) when fed supplemental methionine. Body weights (602 and 598 kg) and body weight changes were similar for the two treatments. Ruminal pH, volatile fatty acids, and ammonia, as well as blood serum urea and glucose were generally unaffected by methionine supplementation. Concentrations of methionine in arterial and venous plasma were elevated slightly when fed additional methionine, but the first in arterial and venous plasma were elevated fed additional methionine, but the first limiting amino acid for milk production, as calculated by several methods, was not changed by feeding supplemental ruminally protected methionine

Streda-like formula in spin Hall effect

A generalized Streda formula is derived for the spin transport in spin-orbit coupled systems. As compared with the original Streda formula for charge transport, there is an extra contribution of the spin Hall conductance whenever the spin is not conserved. For recently studied systems with quantum spin Hall effect in which the z-component spin is conserved, this extra contribution vanishes and the quantized value of spin Hall conductivity can be reproduced in the present approach. However, as spin is not conserved in general, this extra contribution can not be neglected, and the quantization is not exact.Comment: 4 pages, no figur

Design of cross-coupled CMAC for contour-following – a reinforcement-based ILC approach

One of the most popular applications of a bi-axial motion stage is precision motion control. The reduction of tracking error and contour error is one of the most coveted goals in precision motion control systems. The accuracy of a motion control system is often affected by external disturbances. In addition, system non-linearity such as friction also represents a major hurdle to motion precision. In order to deal with the aforementioned problem, this paper proposes a fuzzy logic-based Reinforcement Iterative Learning Control (RILC) and a Cross-Coupled Cerebellar Model Articulation Controller (CCCMAC). In particular, the proposed fuzzy logicbased RILC and a LuGre friction model-based compensation approach are exploited to improve motion accuracy. The fuzzy logic-based RILC aims at reducing tracking error and compensating for external disturbance, while the LuGre friction model is responsible for friction compensation. In addition, the CCCMAC consisting of a cerebellar model articulation controller and a cross-coupled controller aims at reducing contour error and dealing with the problem of dynamics mismatch between different axes. Performance comparisons between the proposed fuzzy logic-based Reinforcement Iterative Learning Cross-Coupled Cerebellar Model Articulation Controller (RIL–CCCMAC) and several existing control schemes are conducted on a bi-axial motion stage. Experimental results verify the effectiveness of the proposed RIL–CCCMAC

Persistent spin current in mesoscopic ferrimagnetic spin ring

Using a semiclassical approach, we study the persistent magnetization current of a mesoscopic ferrimagnetic ring in a nonuniform magnetic field. At zero temperature, there exists persistent spin current because of the quantum fluctuation of magnons, similar to the case of an antiferromagnetic spin ring. At low temperature, the current shows activation behavior because of the field-induced gap. At higher temperature, the magnitude of the spin current is proportional to temperature T, similar to the reported result of a ferromagnetic spin ring.Comment: 6 pages, 3 figures, one more reference adde