843 research outputs found

    Catalytic RNA and synthesis of the peptide bond

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    We are studying whether the L-19 IVS ribozyme from Tetrahymena thermophila can catalyze the formation of the peptide bond when it is supplied with synthetic aminoacyl oligonucleotides. If this reaction works, it could give us some insight into the mechanism of peptide bond formation and the origin of coded protein synthesis. Two short oligoribonucleotides, CCCCC and a protected form of CCCCU were prepared; the former was made by the controlled hydrolysis of Poly(C), and the later by multistep chemical synthesis from the protected monomers. The homopentamer was then aminocylated using C-14 labelled Boc-protected glycine imidazolide. This aminoacylated oligo-nucleotide has now been shown to enter the active site of the L-19 IVS, and aminoacyl transfer, and peptide bond formation reactions are being sought. Our synthesis of CCCCU made us aware of the inadequacy of many of the 2'- hydroxyl protecting groups that are in use today and we therefore designed a new 2'- protecting group that is presently being tested

    Short-Term Memory in Orthogonal Neural Networks

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    We study the ability of linear recurrent networks obeying discrete time dynamics to store long temporal sequences that are retrievable from the instantaneous state of the network. We calculate this temporal memory capacity for both distributed shift register and random orthogonal connectivity matrices. We show that the memory capacity of these networks scales with system size.Comment: 4 pages, 4 figures, to be published in Phys. Rev. Let

    Formation of misfit dislocations in strained-layer GaAs/In<sub>x</sub>Ga<sub>1–x</sub>As/GaAs heterostructures during postfabrication thermal processing

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    It is demonstrated that relaxation of GaAs/InxGa1–xAs/GaAs strained-layer heterostructures can be brought about by postfabrication thermal processing. Misfit dislocations are introduced into the structure during thermal processing, even though the thickness of the strained layer is well below the critical value predicted by the Matthews–Blakeslee model. The misfit dislocations are observed to be of both 60° mixed type and 90° pure edge type. As no relaxation occurs at the lower temperatures encountered during fabrication by molecular-beam epitaxy, it can be inferred that the critical condition for the formation of misfit dislocations is not only a function of strained-layer thickness and composition, but also of temperature. This observation cannot be accounted for by differential thermal expansion or diffusion across the strained-layer interfaces, but the temperature-dependent Peierls force may offer an explanation. The high temperature required to produce relaxation of these structures suggests that they are sufficiently thermally stable for most practical applications

    Hopf term and the effective Lagrangian for the Skyrmions in a two-dimensional electron gas at small g-factor

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    We study interacting electrons in two dimensions moving in the lowest Landau level under the condition that the Zeeman energy is much smaller than the Coulomb energy and the filling factor is one. In this case, Skyrmion quasiparticles play an important role. Here, we present a simple and transparent derivation of the corresponding effective Lagrangian. In its kinetic part, we find a non-zero Hopf term the prefactor of which we determine rigorously. In the Hamiltonian part, we calculate, by means of a gradient expansion, the Skyrmion-Skyrmion interaction completely up to fourth order in spatial derivatives.Comment: 4 pages, Late

    Phase Transition in \nu=2 Bilayer Quantum Hall State

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    The Hall-plateau width and the activation energy were measured in the bilayer quantum Hall state at filling factor \nu=2, 1 and 2/3, by changing the total electron density and the density ratio in the two quantum wells. Their behavior are remarkably different from one to another. The \nu=1 state is found stable over all measured range of the density difference, while the \nu=2/3$ state is stable only around the balanced point. The \nu=2 state, on the other hand, shows a phase transition between these two types of the states as the electron density is changed.Comment: 5 pages including figures, RevTe

    Integer Quantum Hall Effect with Realistic Boundary Condition : Exact Quantization and Breakdown

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    A theory of integer quantum Hall effect(QHE) in realistic systems based on von Neumann lattice is presented. We show that the momentum representation is quite useful and that the quantum Hall regime(QHR), which is defined by the propagator in the momentum representation, is realized. In QHR, the Hall conductance is given by a topological invariant of the momentum space and is quantized exactly. The edge states do not modify the value and topological property of σxy\sigma_{xy} in QHR. We next compute distribution of current based on effective action and find a finite amount of current in the bulk and the edge, generally. Due to the Hall electric field in the bulk, breakdown of the QHE occurs. The critical electric field of the breakdown is proportional to B3/2B^{3/2} and the proportional constant has no dependence on Landau levels in our theory, in agreement with the recent experiments.Comment: 48 pages, figures not included, some additions and revision

    Skyrmions and edge spin excitations in quantum Hall droplets

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    We present an analysis of spin-textures in Quantum Hall droplets, for filling factors ν1\nu \simeq 1. Analytical wavefunctions with well defined quantum numbers are given for the low-lying states of the system which result to be either bulk skyrmions or edge spin excitations. We compute dispersion relations and study how skyrmions become ground states of the Quantum Hall droplet at ν1\nu \gtrsim 1. A Hartree-Fock approximation is recovered and discussed for those spin textures.Comment: RevTeX, four postscript figures appende

    Collapse of Spin-Splitting in the Quantum Hall Effect

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    It is known experimentally that at not very large filling factors ν\nu the quantum Hall conductivity peaks corresponding to the same Landau level number NN and two different spin orientations are well separated. These peaks occur at half-integer filling factors ν=2N+1/2\nu = 2 N + 1/2 and ν=2N+3/2\nu = 2 N + 3/2 so that the distance between them δν\delta\nu is unity. As ν\nu increases δν\delta\nu shrinks. Near certain N=NcN = N_c two peaks abruptly merge into a single peak at ν=2N+1\nu = 2N + 1. We argue that this collapse of the spin-splitting at low magnetic fields is attributed to the disorder-induced destruction of the exchange enhancement of the electron gg-factor. We use the mean-field approach to show that in the limit of zero Zeeman energy δν\delta\nu experiences a second-order phase transition as a function of the magnetic field. We give explicit expressions for NcN_c in terms of a sample's parameters. For example, we predict that for high-mobility heterostructures Nc=0.9dn5/6ni1/3,N_c = 0.9 d n^{5/6} n_i^{-1/3}, where dd is the spacer width, nn is the density of the two-dimensional electron gas, and nin_i is the two-dimensional density of randomly situated remote donors.Comment: 14 pages, compressed Postscript fil

    The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field

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    We study the ground state of a clean two-dimensional electron liquid in a weak magnetic field where N1N \gg 1 lower Landau levels are completely filled and the upper level is partially filled. It is shown that the electrons at the upper Landau level form domains with filling factor equal to one and zero. The domains alternate with a spatial period of the order of the cyclotron radius, which is much larger than the interparticle distance at the upper Landau level. The one-particle density of states, which can be probed by tunneling experiments, is shown to have a pseudogap linearly dependent on the magnetic field in the limit of large NN.Comment: REVTeX, 21 pages + 12 figures in PostScript. Uses amsfonts.sty, multicol.sty, and psfig.st
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