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The Goldstone mode in a helical magnetic phase, also known as the helimagnon, is a propagating mode with a highly anisotropic dispersion relation. Here we study theoretically the helimagnon excitations in a complex chiral ground state of…

Strongly Correlated Electrons · Physics 2013-02-19 Eunsong Choi , Gia-Wei Chern , Natalia B. Perkins

The ground state of twist-bend nematic liquid crystals is a heliconical molecular arrangement in which the nematic director precesses uniformly about an axis, making a fixed angle with it. Both precession senses are allowed in the ground…

Soft Condensed Matter · Physics 2014-04-15 Epifanio G. Virga

The Goldstone mode due to stripe or unidirectional charge-density-wave order in electron systems is found to have the same functional form as the one in classical smectic liquid crystals. It is very similar to the Goldstone mode that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

Liquid crystal elastomers realize a fascinating new form of soft matter that is a composite of a conventional crosslinked polymer gel (rubber) and a liquid crystal. These {\em solid} liquid crystal amalgams, quite similarly to their…

Soft Condensed Matter · Physics 2009-09-29 Xiangjun Xing , Leo Radzihovsky

In a nematic gel, the appearance of nematic order is accompanied by a spontaneous elongation of the gel parallel to the nematic director. If such a gel is made chiral, it has a tendency to form a cholesteric helical texture, in which local…

Soft Condensed Matter · Physics 2009-11-07 Robert A. Pelcovits , Robert B. Meyer

The Goldstone mode in the ordered phase of itinerant helimagnets, such as MnSi or FeGe, is determined and shown to have a strongly anisotropic dispersion relation. The softness of this mode is, in a well-defined sense, in between that of…

Strongly Correlated Electrons · Physics 2009-11-11 T. R. Kirkpatrick , D. Belitz

Recent numerical simulations of hard helical particle systems unveiled the existence of a novel chiral nematic phase, termed screw-like, characterised by the helical organization of the particle C$_2$ symmetry axes round the nematic…

Soft Condensed Matter · Physics 2018-01-17 Giorgio Cinacchi , Alberta Ferrarini , Achille Giacometti , Hima Bindu Kolli

When a chiral isotropic elastomer is brought to low temperature cholesteric phase, the nematic degree of freedom tends to order and form a helix. Due to the nemato-elastic coupling, this also leads to elastic deformation of the polymer…

Soft Condensed Matter · Physics 2009-11-13 Xiangjun Xing , Aparna Baskaran

The nature and effects of the Goldstone mode in the ordered phase of helical or chiral itinerant magnets such as MnSi are investigated theoretically. It is shown that the Goldstone mode, or helimagnon, is a propagating mode with a highly…

Strongly Correlated Electrons · Physics 2007-05-23 D. Belitz , T. R. Kirkpatrick , A. Rosch

We study magnetoelastic resonance phenomena in a mono-axial chiral helimagnet belonging to hexagonal crystal class. By computing the spectrum of coupled elastic wave and spin wave, it is demonstrated how hybridization occurs depending on…

Materials Science · Physics 2018-05-16 A. A. Tereshchenko , A. S. Ovchinnikov , I. Proskurin , E. V. Sinitsyn , Jun-ichiro Kishine

Systems of elongated molecules, doped with small amounts of molecules lacking mirror symmetry can form macroscopically twisted cholesteric liquid crystal phases. The aim of this work is to rigorously derive the Oseen-Frank model of…

Analysis of PDEs · Mathematics 2020-06-24 Jamie M. Taylor

Stiff, elongated biomolecules such as filamentous viruses, DNA or cellulose nanocrystals are known to form liquid crystals often exhibiting a helical supramolecular organization. Little is known about the microscopic origin, size and…

Soft Condensed Matter · Physics 2016-08-06 Štěpán Růžička , Henricus H. Wensink

It is known that the chiral interaction described by Dzyaloshinskii-Moriya (DMI) term lead to the plethora of topological structures of magnetic spins, such as helical or skyrmion phases. Here we present the that analogues electrical DMI…

The hydrodynamic stresses created by active particles can destabilise orientational order present in the system. This is manifested, for example, by the appearance of a bend instability in active nematics or in quasi-2-dimensional living…

Soft Condensed Matter · Physics 2024-06-05 Bhavesh Gautam , Juho Lintuvuori

I describe new phases of a chiral liquid crystal with nematic and hexatic order. I find a conical phase, similar to that of a cholesteric in an applied magnetic field for Frank elastic constants $K_2>K_3$. I discuss the role of fluctuations…

Condensed Matter · Physics 2009-10-28 Randall D. Kamien

We study the low-frequency, long-wavelength dynamics of soft and semi-soft nematic elastomers using two different but related dynamic theories. Our first formulation describes the pure hydrodynamic behavior of nematic elastomers in which…

Soft Condensed Matter · Physics 2009-11-10 Olaf Stenull , T. C. Lubensky

We study helical structures in spin-spiral single crystals. In the continuum approach for the helicity potential energy the simple electronic band splits into two non-parabolic bands. For the Fermi energy greater than the splitting between…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Andrei Zadorozhnyi , Yuri Dahnovsky

Chiral skyrmion states exist in non - centrosymmetric magnetic crystals as a consequence of the asymmetric exchange Dzyaloshinskii-Moriya interactions that destroy the homogeneous magnetic state and generally lead to twisted incommensurate…

Mesoscale and Nanoscale Physics · Physics 2014-06-10 A. O. Leonov

The recent discovery of spontaneous chiral symmetry breaking has demonstrated the possibility of discovering the exotic textures of ferromagnetic systems in liquid crystalline fluid ferro-electrics. We show that the polar smectic mesophase…

Soft Condensed Matter · Physics 2025-08-22 Jordan Hobbs , Calum J. Gibb , Richard J. Mandle

Low-energy spin excitations in any long-range ordered magnetic system in the absence of magnetocrystalline anisotropy are gapless Goldstone modes emanating from the ordering wave vectors. In helimagnets, these modes hybridize into the…

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