Example of a Negative Effective Poisson's Ratio

Kittinger, Erwin; Tichý, Jan; Bertagnolli, E.

doi:10.1103/physrevlett.47.712

Cited by 35 publications

(21 citation statements)

References 3 publications

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“…In particular, Poisson's ratio may depend on the choice of the transverse and the longitudinal directions and its definition can be written in the following form [37][38][39]:…”

Section: Elasticity Of Crystalsmentioning

confidence: 99%

Poisson’s ratio of orientationally disordered hard dumbbell crystal in three dimensions

Kowalik¹,

Wojciechowski²

2006

Journal of Non-Crystalline Solids

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“…In particular, Poisson's ratio may depend on the choice of the transverse and the longitudinal directions and its definition can be written in the following form [37][38][39]:…”

Section: Elasticity Of Crystalsmentioning

confidence: 99%

Poisson’s ratio of orientationally disordered hard dumbbell crystal in three dimensions

Kowalik¹,

Wojciechowski²

2006

Journal of Non-Crystalline Solids

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“…Such a property implies that the solid will reduce its cross section upon pressure which defies our everyday experience with solids. Known examples are the Abrikosov lattice in type-II superconductors (D = 2) [101], α-quartz (D = 3) [102], and some foams [103]. Some phases of biopolymers have been shown to exhibit negative Poisson ratio [104].…”

Section: Isotropic Elastic Solidmentioning

confidence: 99%

“…One way to look at this is that by increasing the separation between a disclination and an antidisclination in the solid additional dislocations are introduced given Eq. (102). But in the nematic phase dislocations are completely condensed which implies that dislocations can be pulled out of the condensate 'for free'.…”

mentioning

confidence: 99%

Dual gauge field theory of quantum liquid crystals in two dimensions

et al. 2017

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We present a self-contained review of the theory of dislocation-mediated quantum melting at zero temperature in two spatial dimensions. The theory describes the liquid-crystalline phases with spatial symmetries in between a quantum crystalline solid and an isotropic superfluid: quantum nematics and smectics. It is based on an Abelian-Higgs-type duality mapping of phonons onto gauge bosons ("stress photons"), which encode for the capacity of the crystal to propagate stresses. Dislocations and disclinations, the topological defects of the crystal, are sources for the gauge fields and the melting of the crystal can be understood as the proliferation (condensation) of these defects, giving rise to the Anderson-Higgs mechanism on the dual side. For the liquid crystal phases, the shear sector of the gauge bosons becomes massive signaling that shear rigidity is lost. After providing the necessary background knowledge, including the order parameter theory of two-dimensional quantum liquid crystals and the dual theory of stress gauge bosons in bosonic crystals, the theory of melting is developed step-by-step via the disorder theory of dislocation-mediated melting. Resting on symmetry principles, we derive the phenomenological imaginary time actions of quantum nematics and smectics and analyze the full spectrum of collective modes. The quantum nematic is a superfluid having a true rotational Goldstone mode due to rotational symmetry breaking, and the origin of this 'deconfined' mode is traced back to the crystalline phase. The two-dimensional quantum smectic turns out to be a dizzyingly anisotropic phase with the collective modes interpolating between the solid and nematic in a non-trivial way. We also consider electrically charged bosonic crystals and liquid crystals, and carefully analyze the electromagnetic response of the quantum liquid crystal phases. In particular, the quantum nematic is a real superconductor and shows the Meissner effect. Their special properties inherited from spatial symmetry breaking show up mostly at finite momentum, and should be accessible by momentum-sensitive spectroscopy.

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“…The Poisson ratio, namely the negative ratio of the induced lateral strain to the strain parallel to the uniaxial stress, is found to be dependent on the atomic packing density and valance electron density of the material [3,4]. Since the 1980s, it has been reported that materials of reentrant structures can possess an exotic negative Poisson ratio [5][6][7][8]. In practical situations, materials are always in complicated stress states.…”

mentioning

confidence: 99%

Bending Poisson Effect in Two-Dimensional Crystals

et al. 2014

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As the Poisson effect formulates, lateral strains in a material can be caused by a uniaxial stress in the perpendicular direction, but no net lateral strain should be induced in a thin homogeneous elastic plate subjected to a pure bending load. Here, we demonstrated by ab initio simulations that significant exotic lateral strains can be induced by pure bending in two-dimensional crystals, in which the lateral components of chemical bonds can respond to bending curvature directly. The bending Poisson ratio, defined as the ratio of lateral strain to the curvature, is a function of curvature depending on chemical constitution, bonding structure, and atomic interaction of the crystal, and is anisotropic.

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Example of a Negative Effective Poisson's Ratio

Cited by 35 publications

References 3 publications

Poisson’s ratio of orientationally disordered hard dumbbell crystal in three dimensions

Poisson’s ratio of orientationally disordered hard dumbbell crystal in three dimensions

Dual gauge field theory of quantum liquid crystals in two dimensions

Bending Poisson Effect in Two-Dimensional Crystals

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