1,305 research outputs found

    Spectral Degeneracies in the Totally Asymmetric Exclusion Process

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    We study the spectrum of the Markov matrix of the totally asymmetric exclusion process (TASEP) on a one-dimensional periodic lattice at ARBITRARY filling. Although the system does not possess obvious symmetries except translation invariance, the spectrum presents many multiplets with degeneracies of high order. This behaviour is explained by a hidden symmetry property of the Bethe Ansatz. Combinatorial formulae for the orders of degeneracy and the corresponding number of multiplets are derived and compared with numerical results obtained from exact diagonalisation of small size systems. This unexpected structure of the TASEP spectrum suggests the existence of an underlying large invariance group. Keywords: ASEP, Markov matrix, Bethe Ansatz, Symmetries.Comment: 19 pages, 1 figur

    A Planck-scale axion and SU(2) Yang-Mills dynamics: Present acceleration and the fate of the photon

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    From the time of CMB decoupling onwards we investigate cosmological evolution subject to a strongly interacting SU(2) gauge theory of Yang-Mills scale Λ104\Lambda\sim 10^{-4} eV (masquerading as the U(1)YU(1)_{Y} factor of the SM at present). The viability of this postulate is discussed in view of cosmological and (astro)particle physics bounds. The gauge theory is coupled to a spatially homogeneous and ultra-light (Planck-scale) axion field. As first pointed out by Frieman et al., such an axion is a viable candidate for quintessence, i.e. dynamical dark energy, being associated with today's cosmological acceleration. A prediction of an upper limit Δtmγ=0\Delta t_{m_\gamma=0} for the duration of the epoch stretching from the present to the point where the photon starts to be Meissner massive is obtained: Δtmγ=02.2\Delta t_{m_\gamma=0}\sim 2.2 billion years.Comment: v3: consequences of an error in evolution equation for coupling rectified, only a minimal change in physics results, two refs. adde

    Quantum Pumping and Quantized Magnetoresistance in a Hall Bar

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    We show how a dc current can be generated in a Hall bar without applying a bias voltage. The Hall resistance RHR_H that corresponds to this pumped current is quantized, just as in the usual integer quantum Hall effect (IQHE). In contrast with the IQHE, however, the longitudinal resistance RxxR_{xx} does not vanish on the plateaus, but equals the Hall resistance. We propose an experimental geometry to measure the pumped current and verify the predicted behavior of RHR_H and RxxR_{xx}.Comment: RevTeX, 3 figure

    On The Mobile Behavior of Solid 4^4He at High Temperatures

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    We report studies of solid helium contained inside a torsional oscillator, at temperatures between 1.07K and 1.87K. We grew single crystals inside the oscillator using commercially pure 4^4He and 3^3He-4^4He mixtures containing 100 ppm 3^3He. Crystals were grown at constant temperature and pressure on the melting curve. At the end of the growth, the crystals were disordered, following which they partially decoupled from the oscillator. The fraction of the decoupled He mass was temperature and velocity dependent. Around 1K, the decoupled mass fraction for crystals grown from the mixture reached a limiting value of around 35%. In the case of crystals grown using commercially pure 4^4He at temperatures below 1.3K, this fraction was much smaller. This difference could possibly be associated with the roughening transition at the solid-liquid interface.Comment: 15 pages, 6 figure

    Asymmetric Fluid Criticality II: Finite-Size Scaling for Simulations

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    The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, LL, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete'' thermodynamic (L)(L\to\infty) scaling theory incorporating pressure mixing in the scaling fields as well as corrections to scaling [arXiv:condmat/0212145]{[arXiv:cond-mat/0212145]}, is extended to finite LL, initially in a grand canonical representation. The theory allows for a Yang-Yang anomaly in which, when LL\to\infty, the second temperature derivative, (d2μσ/dT2)(d^{2}\mu_{\sigma}/dT^{2}), of the chemical potential along the phase boundary, μσ(T)\mu_{\sigma}(T), diverges when T\to\Tc -. The finite-size behavior of various special {\em critical loci} in the temperature-density or (T,ρ)(T,\rho) plane, in particular, the kk-inflection susceptibility loci and the QQ-maximal loci -- derived from QL(T,L)L2/<m4>LQ_{L}(T,_{L}) \equiv ^{2}_{L}/< m^{4}>_{L} where mρLm \equiv \rho - _{L} -- is carefully elucidated and shown to be of value in estimating \Tc and \rhoc. Concrete illustrations are presented for the hard-core square-well fluid and for the restricted primitive model electrolyte including an estimate of the correlation exponent ν\nu that confirms Ising-type character. The treatment is extended to the canonical representation where further complications appear.Comment: 23 pages in the two-column format (including 13 figures) This is Part II of the previous paper [arXiv:cond-mat/0212145

    Abelian and Non-Abelian Induced Parity Breaking Terms at Finite Temperature

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    We compute the exact canonically induced parity breaking part of the effective action for 2+1 massive fermions in particular Abelian and non Abelian gauge field backgrounds. The method of computation resorts to the chiral anomaly of the dimensionally reduced theory.Comment: 13 pages, RevTeX, no figure

    Theory of coherent acoustic phonons in InGaN/GaN multi-quantum wells

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    A microscopic theory for the generation and propagation of coherent LA phonons in pseudomorphically strained wurzite (0001) InGaN/GaN multi-quantum well (MQW) p-i-n diodes is presented. The generation of coherent LA phonons is driven by photoexcitation of electron-hole pairs by an ultrafast Gaussian pump laser and is treated theoretically using the density matrix formalism. We use realistic wurzite bandstructures taking valence-band mixing and strain-induced piezo- electric fields into account. In addition, the many-body Coulomb ineraction is treated in the screened time-dependent Hartree-Fock approximation. We find that under typical experimental conditions, our microscopic theory can be simplified and mapped onto a loaded string problem which can be easily solved.Comment: 20 pages, 17 figure

    Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring

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    The Fano effect, which occurs through the quantum-mechanical cooperation between resonance and interference, can be observed in electron transport through a hybrid system of a quantum dot and an Aharonov-Bohm ring. While a clear correlation appears between the height of the Coulomb peak and the real asymmetric parameter qq for the corresponding Fano lineshape, we need to introduce a complex qq to describe the variation of the lineshape by the magnetic and electrostatic fields. The present analysis demonstrates that the Fano effect with complex asymmetric parameters provides a good probe to detect a quantum-mechanical phase of traversing electrons.Comment: REVTEX, 9 pages including 8 figure

    Quantum spin pumping with adiabatically modulated magnetic barrier's

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    A quantum pump device involving magnetic barriers produced by the deposition of ferro magnetic stripes on hetero-structure's is investigated. The device for dc- transport does not provide spin-polarized currents, but in the adiabatic regime, when one modulates two independent parameters of this device, spin-up and spin-down electrons are driven in opposite directions, with the net result being that a finite net spin current is transported with negligible charge current. We also analyze our proposed device for inelastic-scattering and spin-orbit scattering. Strong spin-orbit scattering and more so inelastic scattering have a somewhat detrimental effect on spin/charge ratio especially in the strong pumping regime. Further we show our pump to be almost noiseless, implying an optimal quantum spin pump.Comment: 14 pages, 9 figures. Manuscript revised with additional new material on spin-orbit scattering and inelastic scattering. Further new additions on noiseless pumping and analytical results with distinction between weak and strong pumping regimes. Accepted for publication in Physical Review
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