271 research outputs found

    Quantum Transport in Two-Channel Fractional Quantum Hall Edges

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    We study the effect of backward scatterings in the tunneling at a point contact between the edges of a second level hierarchical fractional quantum Hall states. A universal scaling dimension of the tunneling conductance is obtained only when both of the edge channels propagate in the same direction. It is shown that the quasiparticle tunneling picture and the electron tunneling picture give different scaling behaviors of the conductances, which indicates the existence of a crossover between the two pictures. When the direction of two edge-channels are opposite, e.g. in the case of MacDonald's edge construction for the Μ=2/3\nu=2/3 state, the phase diagram is divided into two domains giving different temperature dependence of the conductance.Comment: 21 pages (REVTeX and 1 Postscript figure

    Low-temperature nonequilibrium transport in a Luttinger liquid

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    The temperature-dependent nonlinear conductance for transport of a Luttinger liquid through a barrier is calculated in the nonperturbative regime for g=1/2−ϔg=1/2-\epsilon, where gg is the dimensionless interaction constant. To describe the low-energy behavior, we perform a leading-log summation of all diagrams contributing to the conductance which is valid for âˆŁÏ”âˆŁ<<1|\epsilon| << 1. With increasing external voltage, the asymptotic low-temperature behavior displays a turnover from the T2/g−2T^{2/g-2} to a universal T2T^2 law.Comment: 13 pages RevTeX 3.0, accepted by Physical Review

    Exact perturbative solution of the Kondo problem

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    We explicitly evaluate the infinite series of integrals that appears in the "Anderson-Yuval" reformulation of the anisotropic Kondo problem in terms of a one-dimensional Coulomb gas. We do this by developing a general approach relating the anisotropic Kondo problem of arbitrary spin with the boundary sine-Gordon model, which describes impurity tunneling in a Luttinger liquid and in the fractional quantum Hall effect. The Kondo solution then follows from the exact perturbative solution of the latter model in terms of Jack polynomials.Comment: 4 pages in revtex two-colum

    Equivalence between Bell inequalities and quantum Minority game

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    We show that, for a continuous set of entangled four-partite states, the task of maximizing the payoff in the symmetric-strategy four-player quantum Minority game is equivalent to maximizing the violation of a four-particle Bell inequality with each observer choosing the same set of two dichotomic observables. We conclude the existence of direct correspondences between (i) the payoff rule and Bell inequalities, and (ii) the strategy and the choice of measured observables in evaluating these Bell inequalities. We also show that such a correspondence between Bell polynomials (in a single plane) and four-player, symmetric, binary-choice quantum games is unique to the four-player quantum Minority game and its "anti-Minority" version. This indicates that the four-player Minority game not only plays a special role among quantum games but also in studies of Bell-type quantum nonlocality.Comment: v1 4 pages ReTeX, 2 figures (1 EPS); v2 11 pages LateX, 2 figures, changes to format, minor changes to wording (including title) and one new finding added on uniqueness of resul

    Non-zero temperature transport near quantum critical points

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    We describe the nature of charge transport at non-zero temperatures (TT) above the two-dimensional (dd) superfluid-insulator quantum critical point. We argue that the transport is characterized by inelastic collisions among thermally excited carriers at a rate of order kBT/ℏk_B T/\hbar. This implies that the transport at frequencies ωâ‰ȘkBT/ℏ\omega \ll k_B T/\hbar is in the hydrodynamic, collision-dominated (or `incoherent') regime, while ω≫kBT/ℏ\omega \gg k_B T/\hbar is the collisionless (or `phase-coherent') regime. The conductivity is argued to be e2/he^2 / h times a non-trivial universal scaling function of ℏω/kBT\hbar \omega / k_B T, and not independent of ℏω/kBT\hbar \omega/k_B T, as has been previously claimed, or implicitly assumed. The experimentally measured d.c. conductivity is the hydrodynamic ℏω/kBT→0\hbar \omega/k_B T \to 0 limit of this function, and is a universal number times e2/he^2 / h, even though the transport is incoherent. Previous work determined the conductivity by incorrectly assuming it was also equal to the collisionless ℏω/kBT→∞\hbar \omega/k_B T \to \infty limit of the scaling function, which actually describes phase-coherent transport with a conductivity given by a different universal number times e2/he^2 / h. We provide the first computation of the universal d.c. conductivity in a disorder-free boson model, along with explicit crossover functions, using a quantum Boltzmann equation and an expansion in Ï”=3−d\epsilon=3-d. The case of spin transport near quantum critical points in antiferromagnets is also discussed. Similar ideas should apply to the transitions in quantum Hall systems and to metal-insulator transitions. We suggest experimental tests of our picture and speculate on a new route to self-duality at two-dimensional quantum critical points.Comment: Feedback incorporated into numerous clarifying remarks; additional appendix discusses relationship to transport in dissipative quantum mechanics and quantum Hall edge state tunnelling problems, stimulated by discussions with E. Fradki

    Development of functionally selective, small molecule agonists at kappa opioid receptors

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    The kappa opioid receptor (KOR) is widely expressed in the CNS and can serve as a means to modulate pain perception, stress responses, and affective reward states. Therefore, the KOR has become a prominent drug discovery target toward treating pain, depression, and drug addiction. Agonists at KOR can promote G protein coupling and ÎČarrestin2 recruitment as well as multiple downstream signaling pathways, including ERK1/2 MAPK activation. It has been suggested that the physiological effects ofKORactivation result from different signaling cascades, with analgesia being G protein-mediated and dysphoria being mediated through ÎČarrestin2 recruitment. Dysphoria associated with KOR activation limits the therapeutic potential in the use of KOR agonists as analgesics; therefore, it may be beneficial to develop KOR agonists that are biased toward G protein coupling and away from ÎČarrestin2 recruitment. Here, we describe two classes of biased KOR agonists that potently activateGprotein coupling but weakly recruitÎČarrestin2. These potent and functionally selective small molecule compounds may prove to be useful tools for refining the therapeutic potential of KOR-directed signaling in vivo

    Measurement of the polarisation of W bosons produced with large transverse momentum in pp collisions at sqrt(s) = 7 TeV with the ATLAS experiment

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    This paper describes an analysis of the angular distribution of W->enu and W->munu decays, using data from pp collisions at sqrt(s) = 7 TeV recorded with the ATLAS detector at the LHC in 2010, corresponding to an integrated luminosity of about 35 pb^-1. Using the decay lepton transverse momentum and the missing transverse energy, the W decay angular distribution projected onto the transverse plane is obtained and analysed in terms of helicity fractions f0, fL and fR over two ranges of W transverse momentum (ptw): 35 < ptw < 50 GeV and ptw > 50 GeV. Good agreement is found with theoretical predictions. For ptw > 50 GeV, the values of f0 and fL-fR, averaged over charge and lepton flavour, are measured to be : f0 = 0.127 +/- 0.030 +/- 0.108 and fL-fR = 0.252 +/- 0.017 +/- 0.030, where the first uncertainties are statistical, and the second include all systematic effects.Comment: 19 pages plus author list (34 pages total), 9 figures, 11 tables, revised author list, matches European Journal of Physics C versio
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