固体中声学和赝声学声子的有效场论
Effective Field Theory for Acoustic and Pseudo-Acoustic Phonons in Solids
摘要：
本文提出了在小禁带极限下声学声子与带隙声子相互作用的相对论性有效场论。我们表明，虽然前者是戈德斯通模式与时空对称性的自发破缺，后者是伪戈德斯通与一些（小）明确的突破。因此我们称之为“伪声学”声子。在这第一次调查中，我们建立我们的有效理论的情况下，一个和两个空间维度，两个原子物种，并假设大距离各向同性。作为一个说明性的例子，我们展示了如何可以应用该理论来计算声学和赝声学声子的总寿命。这种结构可以找到从双层石墨烯物理到亚GeV暗物质探测器的应用。
英文摘要：
We present a relativistic effective field theory for the interaction between acoustic and gapped phonons in the limit of a small gap. We show that, while the former are the Goldstone modes associated with the spontaneous breaking of spacetime symmetries, the latter are pseudo-Goldstones associated with some (small) explicit breaking. We hence dub them "pseudo-acoustic" phonons. In this first investigation, we build our effective theory for the cases of one and two spatial dimensions, two atomic species, and assuming large distance isotropy. As an illustrative example, we show how the theory can be applied to compute the total lifetime of both acoustic and pseudo-acoustic phonons. This construction can find applications that range from the physics of bilayer graphene to sub-GeV dark matter detectors.
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