Gauge Topological Nature of the Superconductor-Insulator Transition

Diamantini, M. C.; Trugenberger, C. A.; Lukyanchuk, I.; Vinokur, V. M.

doi:10.48550/arxiv.1710.10575

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“…We start by showing how dual superconducting and superinsulating states can be understood from the uncertainty principle, ∆N∆ϕ 1 between the number of charges, N = 2|Ψ| 2 , and the phase ϕ of the Cooper pairs quantum field Ψ = N exp(iϕ), bound by the commutation relation [N, ϕ] = i [15,20]. At zero temperature, superconductors correspond to fixed ϕ, hence indefinite N. Inversely, fixed N and indefinite ϕ characterizes the superinsulating state.…”

Section: Action In Two-dimensional Systemsmentioning

confidence: 99%

“…Here µ P is the magnetic permeability and ε P is the electric permittivity [20], which define the speed of light v c = 1/ √ µ P ε P in the material. The two coupling constants, e 2 q = e 2 /d and e 2 v = π 2 /(e 2 λ ⊥ ) are the characteristic energies of a charge and a vortex in the film, respectively [20]. Here d is the thickness of the film, λ ⊥ = λ 2 L /d is the Pearl length, and λ L is the London length of the bulk.…”

Section: Action In Two-dimensional Systemsmentioning

confidence: 99%

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Confinement and asymptotic freedom with Cooper pairs

2018

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One of the most profound aspects of the standard model of particle physics, the mechanism of confinement binding quarks into hadrons, is not sufficiently understood. The only known semiclassical mechanism of confinement, mediated by chromo-electric strings in a condensate of magnetic monopoles still lacks experimental evidence. Here we show that the infinite resistance superinsulating state, which emerges on the insulating side of the superconductor-insulator transition in superconducting films offers a realization of confinement that allows for a direct experimental access. We find that superinsulators realize a single-color version of quantum chromodynamics and establish the mapping of quarks onto Cooper pairs. We reveal that the mechanism of superinsulation is the linear binding of Cooper pairs into neutral "mesons" by electric strings. Our findings offer a powerful laboratory for exploring and testing the fundamental implications of confinement, asymptotic freedom, and related quantum chromodynamics phenomena via the desktop experiments on superconductors.

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Section: Action In Two-dimensional Systemsmentioning

confidence: 99%

Section: Action In Two-dimensional Systemsmentioning

confidence: 99%