标题： 偶极诱导的三维跃迁 显示英文标题

标题： Dipole-Induced Transition in 3-Dimensions

摘要： 库斯特里茨-汤斯和六方相变是凝聚态物理中偶极子（涡旋、位错）诱导相变的著名例子。 出于非常清晰的原因，这些重要的“拓扑”相变仅限于二维。 在这里，我们展示了非热无定形固体在施加应变时三维响应中的真实偶极子诱导相变。 类似于正常固体和流体之间的六方相的存在，我们确定了一个中间相，在高压下的正常弹性响应相和零压下的流体物质之间。 中间相中的机械响应伴随着塑性，这种塑性通常与产生的位移场中观察到的“非仿射”四极事件相关。 四极场的梯度作为偶极电荷，屏蔽弹性，破坏平移和手性对称性。 我们强调{\em 角度}相关性，在此相变中表现出发散的相关长度，并确定临界标度指数。 显示英文摘要

摘要： The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear reasons, these important ``topological" transitions are restricted to 2-dimensions. Here we present a genuine dipole-induced transition in the 3-dimensional response of (athermal) amorphous solids to applied strain. Similarly to the existence of a hexatic phase between normal solid and fluid, we identify an intermediate phase between a phase of normal elastic response at high pressure, and fluid matter at zero pressure. The mechanical response in the intermediate phase is accompanied by plasticity that is generically associated with ``non-affine" quadrupolar events seen in the resulting displacement field. Gradients of the quadrupolar fields act as dipole charges that screen elasticity, breaking both translational and Chiral symmetries. We highlight {\em angular} correlations that exhibit diverging correlation lengths at this transition and determine the critical scaling exponents.