Fréedericksz transition on a phenomenological model for a nematic inhomogeneous superfluid in presence of an electric field

Ovalle, Diego García; Borgna, Juan Pablo; Leo, Mariano De

doi:10.1016/j.physd.2020.132705

Cited by 3 publications

(2 citation statements)

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“…This model could represent a simple platform to elucidate the optical response of these and similar materials and to compare with experiments [20]. In fact, there is already theoretical works that support the modification of the usual Fréedericksz threshold in purely nematic liquid crystals, when the system is considered as a nematic inhomogeneous superfluid in presence of an electric field [10].…”

Section: Physical Preliminariesmentioning

confidence: 99%

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Molecular response for nematic superconducting media in a hollow cylinder: a numerical approach

Leo

Ovalle

Borgna

2021

Eur. Phys. J. Spec. Top.

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In the context of the Ginzburg Landau formalism proposed by Barci et al. in 2016 for nematic superconductivity, and by performing a numerical treatment based on the Shooting method, we analyze the behaviour of the radial distribution of the nematic order parameter when the superconducting order parameter reaches the typical non trivial saddle point. We consider the cases of a hollow cylindrical domain, with a disk or an annular domain as its cross section, whether the order parameter is subjected to Newmann or Dirichlet boundary conditions. We conclude that depending on the corresponding situation a non trivial solution holds if certain relations between the radii are satisfied. Moreover, we observe a saturation effect on each instances that constitutes a purely geometrical consequence on the relation between the typical sizes and shapes of the samples. These conclusions can be useful for further experimental realizations and extensions to the interaction of the nematic (superconducting) order parameters with electromagnetic fields.

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Section: Physical Preliminariesmentioning

confidence: 99%

“…In this section we collect some theoretical results concerning the existence of thresholds. We recall that G(x, y) = S(Rr)e i2ϕ solves the Guinzburg-Landau (G-L) equation (10) on the ring D Ri,Re := {(x; y) : R i x 2 + y 2 R e }, if and only if, S(r) solves the equation ( 11) in [R i /R e ; 1]:…”

Section: Behaviour Of the Solutions On A Ringmentioning

confidence: 99%