Dispersion interactions between optically anisotropic cylinders at all separations: Retardation effects for insulating and semiconducting single-wall carbon nanotubes

Šiber, Antonio; Rajter, Rick F.; French, Roger H.; Ching, W. Y.; Parsegian, V. Adrian; Podgornik, Rudolf

doi:10.1103/physrevb.80.165414

Cited by 30 publications

(45 citation statements)

References 22 publications

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“…In some cases (not shown here), the dielectric responses of materials allow for a repulsive interaction, i.e., a negative Hamaker coefficient. 32,47 Consequently, this implies that torques also have a sign opposite to that of attractive interaction cases. If for illustration purposes we compare the symmetric system, (9; 3; m)-Al 2 O 3 -(9;3;m), with the asymmetric one, (9;3,m)-Al 2 O 3 -GC(10), 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 14 we see that indeed the torque as well as the force change sign.…”

Section: Asymmetric Systemsmentioning

confidence: 86%

van der Waals Interactions on the Mesoscale: Open-Science Implementation, Anisotropy, Retardation, and Solvent Effects

Dryden¹,

Hopkins²,

Denoyer

et al. 2015

Langmuir

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The self-assembly of heterogeneous mesoscale systems is mediated by long-range interactions, including van der Waals forces. Diverse mesoscale architectures, built of optically and morphologically anisotropic elements such as DNA, collagen, single-walled carbon nanotubes, and inorganic materials, require a tool to calculate the forces, torques, interaction energies, and Hamaker coefficients that govern assembly in such systems. The mesoscale Lifshitz theory of van der Waals interactions can accurately describe solvent and temperature effects, retardation, and optically and morphologically anisotropic materials for cylindrical and planar interaction geometries. The Gecko Hamaker open-science software implementation of this theory enables new and sophisticated insights into the properties of important organic/inorganic systems: interactions show an extended range of magnitudes and retardation rates, DNA interactions show an imprint of base pair composition, certain SWCNT interactions display retardation-dependent nonmonotonicity, and interactions are mapped across a range of material systems in order to facilitate rational mesoscale design.

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Section: Asymmetric Systemsmentioning

confidence: 86%

van der Waals Interactions on the Mesoscale: Open-Science Implementation, Anisotropy, Retardation, and Solvent Effects

Dryden¹,

Hopkins²,

Denoyer

et al. 2015

Langmuir

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“…1(b)], and thus to a torque τ = −∂ θ E(z, θ) between the two structures, that is absent in the case of two flat homogeneous slabs. The existence and properties of this Casimir torque has been a topic of intense theoretical interest since the seventies [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42], for both gratings and other symmetry-breaking systems. Due to the smallness of the effect, only very recently has the first measurement of this torque been realized [43].…”

mentioning

confidence: 99%

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

et al. 2020

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We study the Casimir torque between two metallic one-dimensional gratings rotated by an angle θ with respect to each other. We find that, for infinitely extended gratings, the Casimir energy is anomalously discontinuous at θ = 0, due to a critical zero-order geometric transition between a 2Dand a 1D-periodic system. This transition is a peculiarity of the grating geometry and does not exist for intrinsically anisotropic materials. As a remarkable practical consequence, for finite-size gratings, the torque per area can reach extremely large values, increasing without bounds with the size of the system. We show that for finite gratings with only 10 period repetitions, the maximum torque is already 60 times larger than the one predicted in the case of infinite gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, with possible relevance to micro-and nano-mechanical devices.

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“…Such calculations have been successfully applied to many complex crystals 15,16 including carbon nanotubes. 17,18 Although there or more advanced theories in recent years for describing optical excitations in molecules and crystals such as time-dependent density-functional theory or the inclusion of excitonic effects based on many-body theory, they cannot yet be applied to large complex crystals such as herapathite. Figure 4 shows the calculated 2 ͑ប͒ up to 6 eV for the three components parallel to the a, b, and c axes of the crystal.…”

Section: Methods and Results Of Calculationmentioning

confidence: 99%

“…Ab initio calculation of optical spectra can provide such data which could potentially lead to quantitative evaluation of van der Waals forces 20 through the electrodynamic theory of Lizfshitz 21 as recently demonstrated in the carbon nanotube systems. 17,18 We believe that accurate optical spectral calculation for complex crystals and molecules can play a significant role in the understanding the long-range interactions at nanoscale. 22 …”

Section: Discussionmentioning

confidence: 99%

Theoretical study of the large linear dichroism of herapathite

et al. 2009

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The remarkable linear dichroism of herapathite ͑HPT͒, the active component of polaroid, resisted explanation for more than 150 years because the crystal structure was not solved until very recently. The crystal structure with a formula unit of ͑C 20 H 24 N 2 O 2 H 2 ͒ 4 ·C 2 H 4 O 2 ·3SO 4 ·2I 3 ·6H 2 O in an orthorhombic cell has a slight disorder related to the positions of the six water molecules and the acetic-acid molecule. The electronic and optical properties of this complex crystal are here calculated on the basis of the newly described x-ray structure using a density-functional theory based method with local-orbital basis. The theoretical optical spectrum of HPT shows giant optical anisotropy as observed experimentally with an anisotropy factor on the order of 385 that can be ascribed to transitions between molecular levels of the 2I 3 − chains that are oriented along the crystalline b axis. It is shown that the key to achieve large anisotropy is to align the iodine ions in a quasione-dimensional chain via confinement in a clatharate channel formed by the quinine molecules. The solvent molecules in the crystal have a minimal effect. The implications of this work on biologically relevant systems are discussed.

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Dispersion interactions between optically anisotropic cylinders at all separations: Retardation effects for insulating and semiconducting single-wall carbon nanotubes

Cited by 30 publications

References 22 publications

van der Waals Interactions on the Mesoscale: Open-Science Implementation, Anisotropy, Retardation, and Solvent Effects

van der Waals Interactions on the Mesoscale: Open-Science Implementation, Anisotropy, Retardation, and Solvent Effects

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

Theoretical study of the large linear dichroism of herapathite

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