1,129 research outputs found

    Confinement Phase in Carbon-Nanotubes and the Extended Massive Schwinger Model

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    Carbon nanotube with electric fluxes confined in one dimension is studied. We show that a Coulomb interaction \propto |x| leads to a confinement phase with many properties similar to QCD in 4D. Low-energy physics is described by the massive Schwinger model with multi-species fermions labeled by the band and valley indices. We propose two means to detect this state. One is through an optical measurement of the exciton spectrum, which has been calculated via the 't Hooft-Berknoff equation with the light-front field theory. We show that the Gell-Mann-Oakes-Renner relation is satisfied by a dark exciton. The second is the nonlinear transport which is related to Coleman's "half-asymptotic" state.Comment: 5 pages, 3 figure

    A consistent description of the pairing symmetry in hole and electron doped cuprates within the two dimensional Hubbard model

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    Quantum Monte Carlo is used to calculate various pairing correlations of the 2D Hubbard model possessing band features experimentally observed in the cuprates. In the hole-doped case, where the Fermi level lies close to the van Hove singularities around (0,Ο€)(0,\pi), the dx2βˆ’y2_{x^2-y^2} pairing correlation is selectively enhanced, while in the electron-doped case, where the singularities are far below the Fermi level and the Fermi surface runs through (Β±Ο€/2,Β±Ο€/2)(\pm \pi/2,\pm \pi/2), both dx2βˆ’y2_{x^2-y^2} and dxy_{xy} correlations are enhanced with the latter having a 2Γ—2\sqrt{2}\times \sqrt{2} structure. The two pairing symmetries can mix to result in a nodeless gap.Comment: 4 pages, RevTeX, uses epsf.sty and multicol.st

    Dirac electrons on three-dimensional graphitic zeolites --- a scalable mass gap

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    A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the tight-binding model that the low-energy band structure around the charge neutrality point is dominated by the topology (cubic or gyroid) of the periodic surface as well as by the spatial period LL in modulo 3 in units of the lattice constant. In both of cubic and gyroid cases the Dirac electrons become massive around the charge neutrality point, where the band gap is shown to scale as 1/L1/L within each mod-3 class. Wave functions around the gap are found to have amplitudes sharply peaked around the topological defects that are required to deform the graphene sheet into a three-dimensional periodic surface, and this is shown to originate from non-trivial Bloch phases at KK and Kβ€²K' points of the original graphene.Comment: 5 pages, 6 figure
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