Science · 2024 · 92 citations · 38 references
Natural SciencesPhysicsCondensed Matter PhysicsOptical MaterialsSolid State PhysicsElectro-optic EffectsFerroelectric MaterialsLiquid Crystal MaterialsLiquid CrystalsPhase TransitionsSymmetry BreakingChiral Nematic PhaseChiral Symmetry BreakingEmergent OrderNematic Liquid CrystalsSpontaneous PolarizationSpontaneous Symmetry BreakingTwist-bend Nematic Phase
Spontaneous mirror symmetry breaking by formation of chiral structures from achiral building blocks and emergent polar order are phenomena rarely observed in fluids. Separately, they have both been found in certain nematic liquid crystalline phases; however, they have never been observed simultaneously. Here, we report a heliconical arrangement of achiral molecules in the ferroelectric nematic phase. The phase is thus spontaneously both polar and chiral. Notably, the pitch of the heliconical structure is comparable to the wavelength of visible light, giving selective reflection controllable by temperature or application of a weak electric field. Despite bearing resemblance to the heliconical twist-bend nematic phase, this chiral ferroelectric nematic phase arises from electrical interactions that induce a noncollinear orientation of electric dipoles.
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Density-functional thermochemistry. III. The role of exact exchange
Axel D. Becke · The Journal of Chemical Physics · 1993 · 102.8K citations
Natural Sciences, Chemistry, Physics +13
Multiwfn: A multifunctional wavefunction analyzer
Tian Lu, Feiwu Chen · Journal of Computational Chemistry · 2011 · 43K citations
Anisotropic Superexchange Interaction and Weak Ferromagnetism
Tôru Moriya · Physical Review · 1960 · 7.2K citations · Full text