Screening and topological order in thin superconducting films

Marino, E. C.; Niemeyer, D.; Alves, Van Sérgio; Hansson, Tony; Moroz, Sergej

doi:10.1088/1367-2630/aadb36

Cited by 9 publications

(9 citation statements)

References 40 publications

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“…Apart from this difference, in the leading order of perturbation theory, the RBEC does share a lot in common with our model and some results echo. Following this thread, in d = 3 our model complements the perturbative study in [9] by the inclusion of potential profile, and in d = 2, generalizes part of the discoveries by [10] to the regime of relativity.…”

Section: Introductionmentioning

confidence: 77%

Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions

Hsiao

2023

Phys. Scr.

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In Gaussian approximation, we investigate the marginal electromagnetic fluctuation in models of charged relativistic bosonic superfluids in three and two spatial dimensions at zero temperature. The electromagnetism is modeled by the ordinary Maxwell term and the non-local pseudo-electrodynamics action in these dimensions respectively. We explore the collective excitations in these systems by integrating the superfluid velocity fields. We unveil that different collectives mode dispersions are results of the competition between different characteristic scales of speed and that between short-ranged and long-ranged interactions. In (3+1) dimensions, we derive the roton mode reminiscent of what was discovered in the context of the free relativistic Bose–Einstein condensate as a generalization of the Higgs mode and determine the necessary and sufficient condition for the roton to exist. In (2+1) dimensions, besides solving the dispersion relation for the surface plasmon, we prove there cannot be roton-like excitation in this model as opposed to its (3+1) dimensional counterpart, and additionally derive the asymptotic lines of the dispersion in the limits of long wavelength and short distance. These asymptotic dispersions are supplied with alternative perspective using duality.

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Section: Introductionmentioning

confidence: 77%

Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions

Hsiao

2023

Phys. Scr.

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“…In a mixeddimensional superconductor, fermions are restricted to a surface, but the electromagnetic field extends in full three-dimensional space. In such a superconductor plasma oscillations are gapless and charges and vortices exhibit long-range interactions [41]. Electromagnetic response in the mixed-dimensional chiral superconductor was computed in [13].…”

Section: Introductionmentioning

confidence: 99%

Hall viscosity and conductivity of two-dimensional chiral superconductors

2020

Self Cite

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We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. \boldsymbol{p+\mathrm{i}p}𝐩+i𝐩 pairing, and interact via a long-range repulsive Coulomb force. For a logarithmic Coulomb potential, the Hall viscosity tensor contains a contribution that is singular at low momentum, which encodes corrections to pressure induced by an external shear strain. Due to this contribution, the Hall viscosity cannot be extracted from the Hall conductivity in spite of Galilean symmetry. For mixed-dimensional chiral superconductors, where the Coulomb potential decays as inverse distance, we find an intermediate behavior between intrinsic two-dimensional superconductors and superfluids. These results are obtained by means of both effective and microscopic field theory.

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“…which was first proposed by Marino [2], where is the d'Alembertian operator, F µν is the usual electromagnetic tensor, v F is the bare Fermi velocity of the electrons in graphene, ψ † a = (ψ * A↑ ψ * A↓ ψ * B↑ ψ * B↓ ) a is the four-component Dirac spinor representation of the electrons in the A and B sub-lattices of graphene, γ µ = (γ 0 , v F γ) are rank-4 Dirac matrices, a is the flavor index which represents the sum over K and K ′ in the Brillouin zone, j µ is the matter current in 2 + 1 dimensions, and the last term is the gauge fixing. The PQED has been successfully used in the description of several graphene properties [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

The influence of a conducting surface on the conductivity of graphene

Pedrelli,

Alves,

Alves

2020

Preprint

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In the present paper, using Pseudo-Quantum Electrodynamics to describe the interaction between electrons in graphene, we investigate the longitudinal and optical conductivities of a neutral graphene sheet near a grounded perfectly conducting surface, with calculations up to 2-loop perturbation order. We show that the longitudinal conductivity increases as we bring the conducting surface closer to the graphene sheet. On the other hand, although the optical conductivity initially increases with the proximity of the plate, it reaches a maximum value, tending, afterwards, to the minimal conductivity in the ideal limit of no separation between graphene and the conducting surface. We recover the correspondent results in the literature when the distance to the plate tends to infinity. Our results may be useful as an alternative way to control the longitudinal and optical conductivities of graphene.

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Screening and topological order in thin superconducting films

Cited by 9 publications

References 40 publications

Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions

Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions

Hall viscosity and conductivity of two-dimensional chiral superconductors

The influence of a conducting surface on the conductivity of graphene

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