5,113 research outputs found

    The Chalker-Coddington Network Model is Quantum Critical

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    We show that the localization transition in the integer quantum Hall effect as described by the Chalker-Coddington network model is quantum critical. We first map the anisotropic network model to the problem of diagonalizing a one-dimensional non-Hermitian non-compact supersymmetric lattice Hamiltonian of interacting bosons and fermions. Its behavior is investigated numerically using the density matrix renormalization group method, and critical behavior is found at the plateau transition. This result is confirmed by an exact, analytic, generalization of the Lieb-Schultz-Mattis theorem.Comment: Version accepted for publication in PRL. 4 pages, 2 eps figure

    Multifractality of wavefunctions at the quantum Hall transition revisited

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    We investigate numerically the statistics of wavefunction amplitudes ψ(r)\psi({\bf r}) at the integer quantum Hall transition. It is demonstrated that in the limit of a large system size the distribution function of ψ2|\psi|^2 is log-normal, so that the multifractal spectrum f(α)f(\alpha) is exactly parabolic. Our findings lend strong support to a recent conjecture for a critical theory of the quantum Hall transition.Comment: 4 pages Late

    Local elastic strain and strain tensor measurements of deformed metals using focused, submicrometer Xrays

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    The use of depth resolved, submicrometer X-ray beams for studying deformation microstructures in plastically deformed metals has come a long way over the past 5 years. We can identify phases, measure crystallographic orientations, and measure lattice constants from buried, submicrometer sample volumes throughout extended sample regions within single crystal and polycrystalline samples. In special cases, we can also measure both deviatoric and complete elastic strain tensors with reliable uncertainty estimates for the tensor components. Examples of these capabilities will be described, including nondestructive, full strain tensor measurements from through-Si vias in microelectronics, and strain measurements from commercial Al alloys deformed using equal-channel angular pressing. Expectations for the future will also be discussed

    Towards a Field Theory of the Plateau Transition

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    We suggest a procedure for calculating correlation functions of the local densities of states (DOS) at the plateau transitions in the Integer Quantum Hall effect (IQHE). We argue that their correlation functions are appropriately described in terms of the SL(2,C2,{\Bbb C})/SU(2) WZNW model (at the usual Ka{\v c}--Moody point and with the level 6k86 \leq k \leq 8). In this model we have identified the operators corresponding to the local DOS, and derived the partial differential equation determining their correlation functions. The OPEs for powers of the local DOS obtained from this equation are in agreement with available results.Comment: typos corrected, a revised versio

    Network Models of Quantum Percolation and Their Field-Theory Representations

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    We obtain the field-theory representations of several network models that are relevant to 2D transport in high magnetic fields. Among them, the simplest one, which is relevant to the plateau transition in the quantum Hall effect, is equivalent to a particular representation of an antiferromagnetic SU(2N) (N0N\to 0) spin chain. Since the later can be mapped onto a θ0\theta\ne 0, U(2N)/U(N)×U(N)U(2N)/U(N)\times U(N) sigma model, and since recent numerical analyses of the corresponding network give a delocalization transition with ν2.3\nu\approx 2.3, we conclude that the same exponent is applicable to the sigma model

    Universal relation between longitudinal and transverse conductivities in quantum Hall effect

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    We show that any critical transition region between two adjacent Hall plateaus in either integer or fractional quantum Hall effect is characterized by a universal semi-circle relationship between the longitudinal and transverse conductivities, provided the sample is homogeneous and isotropic on a large scale. This conclusion is demonstrated both for the phase-coherent quantum transport as well as for the incoherent transport.Comment: REVTEX 3.0, 1 figure, 4 pages. SISSA-08179

    Delocalization of electrons in a Random Magnetic Field

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    Delocalization problem for a two-dimensional non-interacting electron system is studied under a random magnetic field. With the presence of a random magnetic field, the Hall conductance carried by each eigenstate can become nonzero and quantized in units of e2/he^2/h. Extended states are characterized by nonzero Hall conductance, and by studying finite-size scaling of the density of extended states, an insulator-metal phase transition is revealed. The metallic phase is found at the center of energy band which is separated from the localized states at the band tails by critical energies ±Ec\pm E_c. Both localization exponent and the critical energy EcE_c are shown to be dependent on the strength of random magnetic field.Comment: 9 pages, Revtex, 3 figures available upon reques

    Weak levitation of 2D delocalized states in a magnetic field.

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    The deviation of the energy position of a delocalized state from the center of Landau level is studied in the framework of the Chalker-Coddington model. It is demonstrated that introducing a weak Landau level mixing results in a shift of the delocalized state up in energy. The mechanism of a levitation is a neighboring - Landau level - assisted resonant tunneling which ``shunts'' the saddle-points. The magnitude of levitation is shown to be independent of the Landau level number.Comment: Latex file (12 pages) + 3 Postscript figures

    Measurement of 222Rn dissolved in water at the Sudbury Neutrino Observatory

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    The technique used at the Sudbury Neutrino Observatory (SNO) to measure the concentration of 222Rn in water is described. Water from the SNO detector is passed through a vacuum degasser (in the light water system) or a membrane contact degasser (in the heavy water system) where dissolved gases, including radon, are liberated. The degasser is connected to a vacuum system which collects the radon on a cold trap and removes most other gases, such as water vapor and nitrogen. After roughly 0.5 tonnes of H2O or 6 tonnes of D2O have been sampled, the accumulated radon is transferred to a Lucas cell. The cell is mounted on a photomultiplier tube which detects the alpha particles from the decay of 222Rn and its daughters. The overall degassing and concentration efficiency is about 38% and the single-alpha counting efficiency is approximately 75%. The sensitivity of the radon assay system for D2O is equivalent to ~3 E(-15) g U/g water. The radon concentration in both the H2O and D2O is sufficiently low that the rate of background events from U-chain elements is a small fraction of the interaction rate of solar neutrinos by the neutral current reaction.Comment: 14 pages, 6 figures; v2 has very minor change
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