Lensing effects in a nematic liquid crystal with topological defects

Sátiro, Caio; Moraes, Fernando

doi:10.1140/epje/i2005-10127-2

Cited by 62 publications

(67 citation statements)

References 19 publications

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“…Our intention now is to extend these studies not only to other dimensions but mostly to consider this dynamics in general background spacetimes produced by topological defects using KaluzaKlein theory [2,[38][39][40][41][42]. These sources of gravitational fields play an important role in condensed matter physics systems [43][44][45][46], mainly due to the possibility to compensate for the elastic contribution introduced by the defect by fine tuning of the external magnetic field. Besides topological defects like cosmic strings [47] and domain walls [48], a global monopole [49] provides a tiny relation between the effects in cosmology and gravitation and those in condensed matter physics systems, where topological defects analogous to cosmic strings appear in phase transitions in liquid crystals [50,51].…”

Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.

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Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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“…The similarity with defect formation in the early universe has also turned liquid crystals into mini laboratories for testing the formation and dynamics of cosmic topological defects [6][7][8][9][10]. It has also led one of us (FM) and co-workers to explore the optical properties of defects in a liquid crystal in a geometric setting very much like their cosmic analogues [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Nematic liquid crystal dynamics under applied electric fields

et al. 2010

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In this paper we investigate the dynamics of liquid crystal textures in a two-dimensional nematic under applied electric fields, using numerical simulations performed using a publicly available LIquid CRystal Algorithm (LICRA) developed by the authors. We consider both positive and negative dielectric anisotropies and two different possibilities for the orientation of the electric field (parallel and perpendicular to the two-dimensional lattice). We determine the effect of an applied electric field pulse on the evolution of the characteristic length scale and other properties of the liquid crystal texture network. In particular, we show that different types of defects are produced after the electric field is switched on, depending on the orientation of the electric field and the sign of the dielectric anisotropy.

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“…The simple, but nontrivial, geometry of the cone appears as an effective geometry in such diverse physical entities as cosmic strings [1], defects in elastic media [2], defects in liquid crystals [3] and so on. Accordingly, the dynamics of a quantum particle in a conical background has been profusely studied with very different motivations [4].…”

Section: Introductionmentioning

confidence: 99%

On the quantum dynamics of a point particle in conical space

Filgueiras

Moraes

2008

Annals of Physics

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A quantum neutral particle, constrained to move on a conical surface, is used as a toy model to explore bound states due to both a inverse squared distance potential and a δ-function potential, which appear naturally in the model. These pathological potentials are treated with the self-adjoint extension method which yields the correct boundary condition (not necessarily a null wavefunction) at the origin. We show that the usual boundary condition requiring that the wavefunction vanishes at the origin is arbitrary and drastically reduces the number of bound states if used. The situation studied here is closely related to the problem of a dipole moving in conical space.

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Lensing effects in a nematic liquid crystal with topological defects

Cited by 62 publications

References 19 publications

Klein–Gordon oscillator in Kaluza–Klein theory

Klein–Gordon oscillator in Kaluza–Klein theory

Nematic liquid crystal dynamics under applied electric fields

On the quantum dynamics of a point particle in conical space

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