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Twist-grain-boundary phases in smectics are the geometrical analogs of the Abrikosov flux lattice in superconductors. At large twist angles, the nonlinear elasticity is important in evaluating their energetics. We analytically construct the…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Randall D. Kamien

Observing and characterizing the complex ordering phenomena of liquid crystals subjected to external constraints constitutes an ongoing challenge for chemists and physicists alike. To elucidate the delicate balance appearing when the…

Soft Condensed Matter · Physics 2022-09-27 Paul A. Monderkamp , René Wittmann , Michael te Vrugt , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

The twist-grain-boundary (TGB) phases, characterized by a periodic, helical arrangement of blocks made of polar smectic phases, SmAF and SmCF, have been discovered. They have been observed for rod-like molecules with a strong longitudinal…

Liquid crystalline systems exhibiting both macroscopic chirality and smectic order experience frustration resulting in mesophases possessing complex three-dimensional order. In the twist-grain-boundary phase, defect lattices mediate the…

Soft Condensed Matter · Physics 2009-12-18 Elisabetta A. Matsumoto , Gareth P. Alexander , Randall D. Kamien

We study the structure of the twist grain boundary in chiral smectic liquid crystals using the Landau-de Gennes model. By considering spatial variation of the smectic order, we distinguish the Melted-Grain-Boundary-A (MGBA) structure with…

Soft Condensed Matter · Physics 2009-03-24 Hiroto Ogawa

Under an electric field, chiral smectic liquid crystals transit usually to the unwound SmC* phase where the helical structure is completely unrolled. Sometimes the sample transits initially towards an intermediate polar state before the…

Soft Condensed Matter · Physics 2019-10-02 H. Dhaouadi , O. Riahi , R. Zgueb , F. Trabelsi , T. Othman

We develop an explicit and tractable representation of a twist-grain-boundary phase of a smectic A liquid crystal. This allows us to calculate the interaction energy between grain boundaries and the relative contributions from the bending…

Soft Condensed Matter · Physics 2007-05-23 Christian D. Santangelo , Randall D. Kamien

We study the core structure of the twist-grain-boundary (TGB) phase of chiral liquid crystals by numerically minimizing the Landau-de Gennes free energy. We analyze the morphology of layers at the grain boundary, to better understand the…

Soft Condensed Matter · Physics 2007-05-23 Hiroto Ogawa , Nariya Uchida

Chiral liquid crystals often exhibit periodic modulations in the molecular director; in particular, thin films of the smectic-C* phase show a chiral striped texture. Here, we investigate whether similar chiral modulations can occur in the…

Soft Condensed Matter · Physics 2009-10-31 J. V. Selinger , J. Xu , R. L. B. Selinger , B. R. Ratna , R. Shashidhar

Twist grain boundary (TGB) phases represent liquid crystalline systems with a regular array of defects. In our research, we studied a compound with a stable TGBC phase and established its structure by various experimental techniques. We…

Soft Condensed Matter · Physics 2023-08-08 Vladimira Novotna , Lubor Lejcek , Ladislav Fekete

Ginzburg-Landau-de Gennes -type covariant theories are extensively used in connection with twist grain boundary (TGB) phases of chiral smectogens. We analyze the stability conditions for the linear, covariant elasticity theory of smectic-C…

Soft Condensed Matter · Physics 2013-03-05 P. R. Venkatramanan , Yashodhan Hatwalne , N. V. Madhusudana

Boundary effects in liquid-crystalline phases can be large due to long-ranged orientational correlations. We show that the chiral hexatic phase can be locked into an apparent three-dimensional N+6 phase via such effects. Simple numerical…

Soft Condensed Matter · Physics 2009-10-31 Randall D. Kamien , Alex J. Levine

Frustration is a powerful mechanism in condensed matter systems, driving both order and co plexity. In smectics, the frustration between macroscopic chirality and equally spaced layers generates textures characterised by a proliferation of…

Soft Condensed Matter · Physics 2016-11-14 Elisabetta A. Matsumoto , Randall D. Kamien , Gareth P. Alexander

Recently discovered helical polar fluid adopts a spontaneous chiral symmetry breaking (CSB) driven by polarization escape and conformational chirality. Ferroelectric nematic and smectic phases are intrinsically chiral in the ground state…

Optics · Physics 2025-07-15 Hiroya Nishikawa , Dennis Kwaria , Atsuko Nihonyanagi , Fumito Araoka

We explore the smectic liquid crystal order in a cell with a "dirty" substrate imposing random pinnings. Within harmonic elasticity we find a subtle three-dimensional surface disorder-driven transition into a pinned smectic-glass,…

Soft Condensed Matter · Physics 2012-06-14 Quan Zhang , Leo Radzihovsky

We propose a general formalism to characterize orientational frustration of smectic liquid crystals in confinement by interpreting the emerging networks of grain boundaries as objects with a topological charge. In a formal idealization,…

We have numerically studied a liquid composed of achiral, bent-shaped molecules built of tangent spheres. The system is known to spontaneously break mirror symmetry, as it forms a macroscopically chiral, twist-bend nematic phase [Phys. Rev.…

Soft Condensed Matter · Physics 2022-09-27 Piotr Kubala , Wojciech Tomczyk , Michał Cieśla

We predict the existence of a new defect-lattice phase near the nematic - smectic-C (NC) transition. This tilt- analogue of the blue phase is a lattice of double-tilt cylinders. We discuss the structure and stability of the cone phase. We…

Soft Condensed Matter · Physics 2009-11-07 Yashodhan Hatwalne , N. V. Madhusudana

Chiral twisting of the molecular orientation within the layer of a smectic-A liquid crystal has been investigated using circular dichroism spectroscopy. The results indicate that a rotation of the layers away from the alignment direction is…

Soft Condensed Matter · Physics 2009-10-31 M. S. Spector , S. K. Prasad , B. T. Weslowski , R. D. Kamien , J. V. Selinger , B. R. Ratna , R. Shashidar

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore
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