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Related papers: Spiraling Defect Cores in Chromonic Hedgehogs

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We consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the twist deformation of the nematic director incurs much higher…

Analysis of PDEs · Mathematics 2020-08-12 Dmitry Golovaty , Michael Novack , Peter Sternberg

Conventional X-ray methods use incoming plane waves and result in discrete diffraction patterns when scattered at crystals. Here we find, by a systematic method, incoming waveforms which exhibit discrete diffraction patterns when scattered…

Optics · Physics 2015-06-16 Gero Friesecke , Richard D. James , Dominik Jüstel

Understanding the structural origins of glass formation and mechanical response remains a central challenge in condensed matter physics. Recent studies have identified the local caging potential experienced by a particle due to its nearest…

In experiments which take a liquid crystal rapidly from the isotropic to the nematic phase, a dense tangle of defects is formed. In nematics, there are in principle both line and point defects (``hedgehogs''), but no point defects are…

Condensed Matter · Physics 2016-08-31 Mark Hindmarsh

What happens when fermions hop on a lattice with crystalline defects? The answer depends on topological quantum numbers which specify the action of lattice rotations and translations in the low energy theory. One can understand the…

Strongly Correlated Electrons · Physics 2026-02-10 Maissam Barkeshli , Christopher Fechisin , Zohar Komargodski , Siwei Zhong

Disordered elastic networks provide a framework for describing a wide variety of physical systems, ranging from amorphous solids, through polymeric fibrous materials to confluent cell tissues. In many cases, such networks feature two widely…

Soft Condensed Matter · Physics 2024-09-02 Edan Lerner , Eran Bouchbinder

We show that discotics, lying deep in the columnar phase, can exhibit an x-ray scattering pattern which mimics that of a somewhat unusual smectic liquid crystal. This exotic, new glassy phase of columnar liquid crystals, which we call a…

Soft Condensed Matter · Physics 2009-10-31 Karl Saunders , Leo Radzihovsky , John Toner

The properties of crystals consisting of several components can be widely tuned. Often solid solutions are produced, where substitutional or interstitional disorder determines the crystal thermodynamic and mechanical properties. The…

Soft Condensed Matter · Physics 2019-10-30 Tadeus Ras , Michael Szafarczyk , Matthias Fuchs

We study elasticity-driven morphological transitions of soft spherical core shell structures in which the core can be treated as an isotropic elastic continuum and the surface or shell as a tensionless liquid layer, whose elastic response…

Soft Condensed Matter · Physics 2013-11-13 Craig Fogle , Amy C. Rowat , Alex J. Levine , Joseph Rudnick

Anisotropic rod-like particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and…

Soft Condensed Matter · Physics 2026-05-29 Gerardo Campos-Villalobos , André F. V. Matias , Ethan I. L. Jull , Lisa Tran , Marjolein Dijkstra

Macroscopic elastic core-shell systems can be generated as toy models to be deformed and haptically studied by hand. On the mesoscale, colloidal core-shell particles and microgels are fabricated and investigated by different types of…

Soft Condensed Matter · Physics 2022-05-30 Jannis Kolker , Lukas Fischer , Andreas M. Menzel , Hartmut Löwen

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

There is currently intensive research into creating a large-scale quantum computer with trapped ions. It is well known that for a linear ion crystal in a harmonic potential, the ions near the center are more closely spaced compared to the…

Quantum Physics · Physics 2017-01-13 S. R. Bastin , Tony E. Lee

Curved particles have been shown to stabilize a range of states with unique order in dense suspensions of colloidal bent core liquid crystals. The shape of the colloidal rods encourages the formation of curved director fields. However,…

Soft Condensed Matter · Physics 2026-01-08 Nicholas W. Hackney , Joel T. Clemmer , Gary S. Grest

One of the central experimental efforts in nematic colloids research aims to explore how the interplay between the geometry of particles along with the accompanying nematic director deformations and defects around them can provide a means…

Soft Condensed Matter · Physics 2016-12-28 Bohdan Senyuk , Manoj B. Pandey , Qingkun Liu , Mykola Tasinkevych , Ivan I. Smalyukh

A novel phenomenological approach to the analysis of the conductivities of incoherent layered crystals is presented. It is based on the fundamental relationship between the resistive anisotropy $\sigma_{ab}/\sigma_c$ and the ratio of the…

Strongly Correlated Electrons · Physics 2009-11-10 George A. Levin

We study light scattering by a hedgehog-like and linear disclination topological defects in a nematic liquid crystal by a metric approach. Light propagating near such defects feels an effective metric equivalent to the spatial part of the…

Soft Condensed Matter · Physics 2013-01-23 E. Pereira , F. Moraes

Understanding crystal growth and morphology is a fundamental issue in condensed matter physics. While crystal morphology due to the distribution and dynamics of the diffusion field has been intensively studied, how the intrinsic material…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Yutaro Tanaka , Shuai Zhang , Tiantian Zhang , Shuichi Murakami

A system of N classical Coulomb charges trapped in a harmonic potential displays shell structure and orientational ordering. The local density profile is well understood from theory, simulation, and experiment. Here, pair correlations are…

Statistical Mechanics · Physics 2015-05-30 Jeffrey Wrighton , Hanno Kählert , Torben Ott , Patrick Ludwig , Hauke Thomsen , James Dufty , Michael Bonitz

Structural aspects of crystal nucleation in undercooled liquids are explored using a nonlinear hydrodynamic theory of crystallization proposed recently [G. I. Toth et al., J. Phys.: Condens. Matter 26, 055001 (2014)], which is based on…

Materials Science · Physics 2017-05-24 Frigyes Podmaniczky , Gyula I. Toth , Gyorgy Tegze , Laszlo Granasy
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