The angular spin current and its physical consequences

We find that in order to completely describe the spin transport, apart from spin current (or linear spin current), one has to introduce the angular spin current. The two spin currents respectively describe the translational and rotational motion of a spin. The definitions of these spin current densities are given and their physical properties are discussed. Both spin current densities appear naturally in the spin continuity equation. Moreover we predict that the angular spin current can also induce an electric field $\vec{E}$, and in particular $\vec{E}$ scales as $1/r^2$ at large distance $r$, whereas the $\vec{E}$ field generated from the linear spin current goes as $1/r^3$.Comment: 7 pages, 2 figure

Effects of SAPK/JNK inhibitors on preimplantation mouse embryo development are influenced greatly by the amount of stress induced by the media

Stress-activated protein kinase/c-Jun kinase (SAPK/JNK) is thought to be necessary for preimplantation embryonic development (Maekawa et al., 2005). However, media increases SAPK/JNK phosphorylation and these levels negatively correlate with embryonic development (Wang et al., 2005). Culture-induced stress could confuse analysis of the role of SAPK in development. In this study, we tested how SAPK/JNK inhibitors influence embryonic development in optimal and non-optimal media and define the contribution of cell survival and proliferation to the embryonic response to these media. SAPK/JNK inhibitors retard embryonic development in suboptimal Ham’s F10, but improve development in optimal potassium (K+) simplex optimized media (KSOM) +AA. In KSOM + amino acids (KSOM+AA), two SAPK/JNK inhibitors increase the rate of cavitation and hatching. These data suggest that (i) SAPK/JNK mediates the response to culture stress, not normal preimplantation embryonic development and (ii) SAPK/JNK inhibitors may be useful in ameliorating embryo stress caused by culture. To define the effects of media, we assayed the contribution of cell survival and proliferation and the differences in total cell number of cultured embryos. Embryos cultured from E3.5+24 h in the suboptimal medium (Ham’s F10) induced significant but small increases in TdT (terminal deoxynucleotidyl transferase)-mediated dUDP nick-end labelling (TUNEL) positive cells. Bromodeoxyuridine (BrdU) incorporation in suboptimal Ham’s F10 was significantly lower than in optimal KSOM+AA, suggesting that cell cycle arrest also contributes to slower increase in cell number in stressful media. This is the first report where TUNEL and BrdU were both assayed to define the relative contribution of cell cycle/S phase commitment and apoptosis to lessened cell number increase during embryo culture

Generation of finite wave trains in excitable media

Spatiotemporal control of excitable media is of paramount importance in the development of new applications, ranging from biology to physics. To this end we identify and describe a qualitative property of excitable media that enables us to generate a sequence of traveling pulses of any desired length, using a one-time initial stimulus. The wave trains are produced by a transient pacemaker generated by a one-time suitably tailored spatially localized finite amplitude stimulus, and belong to a family of fast pulse trains. A second family, of slow pulse trains, is also present. The latter are created through a clumping instability of a traveling wave state (in an excitable regime) and are inaccessible to single localized stimuli of the type we use. The results indicate that the presence of a large multiplicity of stable, accessible, multi-pulse states is a general property of simple models of excitable media.Comment: 6 pages, 6 figure

N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter

We consider the four dimensional scale invariant N=2 SU quiver gauge theories with USp(2N) ends or SU(2N) ends with antisymmetric matter representations. We argue that these theories are realized as six dimensional A_{2N-1} (0,2) theories compactified on spheres with punctures. With this realization, we can study various strongly coupled cusps in moduli space and find the S-dual theories. We find a class of isolated superconformal field theories with only odd dimensional operators $D(\phi)\geq3$ and superconformal field theories with only even dimensional operators $D(\phi)\geq4$.Comment: Minor changes are made; refrences are added; 21 pages, 18 figure

Weak Field Phase Diagram for an Integer Quantum Hall Liquid

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size sample using a transfer matrix technique, we systematically investigate the field and disorder dependences of the metal-insulator transition in the weak field QH regime. We obtain a different phase diagram from the one conjectured in previous theoretical studies. In particular, we find that: (1) the extended state energy $E_{c}$ for each Landau level (LL) is {\it always} linear in magnetic field; (2) for a given Landau level and disorder configuration there exists a critical magnetic field $B_{c}$ below which the extended state disappears; (3) the lower LLs are more robust to the metal-insulator transition with smaller $B_{c}$. We attribute the above results to strong LL coupling effect. Experimental implications of our work are discussed.Comment: 4 pages, ReVTeX 3.0, 4 figures (available upon request

Symmetry in the insulator - quantum Hall - insulator transitions observed in a Ge/SiGe quantum well

We examine the magnetic field driven insulator-quantum Hall-insulator transitions of the two dimensional hole gas in a Ge/SiGe quantum well. We observe direct transitions between low and high magnetic field insulators and the $\nu=1$ quantum Hall state. With increasing magnetic field, the transitions from insulating to quantum Hall and quantum Hall to insulating are very similar with respect to their transport properties. We address the temperature dependence around the transitions and show that the characteristic energy scale for the high field transition is larger.Comment: 4 page