We compute the differential Poisson's ratio of a suspended two-dimensional crystalline membrane embedded into a space of large dimensionality $d \gg 1$. We demonstrate that, in the regime of anomalous Hooke's law, the differential Poisson's ratio approaches a universal value determined solely by the spatial dimensionality $d_c$, with a power-law expansion $ν= -1/3 + 0.016/d_c + O(1/d_c^2)$, where $d_c=d-2$. Thus, the value $-1/3$ predicted in previous literature holds only in the limit $d_c\to \infty$.
Reply to 'Comment on "Thermodynamics of quantum crystalline membranes"'
在这篇文章中,我们回复了E.I.Kats和V.V.Lebedev [arXiv:1407.4298]对我们最近的工作“量子结晶膜的热力学”[Phys. Rev. B 89,224307(2014)]的评论。Kats和Lebedev质疑我们工作中提出的计算的有效性,特别是使用德拜动量作为理论的紫外调节器。我们处理和反驳Kats和Lebedev对我们工作的批评。
High-$Q$ membrane resonators using ultra-high-stress crystalline TiN films
Komaba Institute for Science (KIS), The University of Tokyo(东京大学绪方理工学研究所);RIKEN Center for Quantum Computing (RQC)(理化学研究所量子计算中心);IBM Quantum, IBM Research - Tokyo(IBM量子,IBM研究-东京);Advanced ICT Research Institute, National Institute of Information and Communications Technology(信息通信技术研究所高级ICT研究所);Inamori Research Institute for Science (InaRIS)(稻盛理工学研究所)
Curvature-Controlled Infrared Regularization of Crystalline Membranes
Research Division, Araya Inc.(Araya公司研究部);Centre for Complexity Science, Imperial College London(伦敦帝国理工学院复杂性科学中心);Facultad de Ciencias en Física y Matemáticas, Benemérita Universidad Autónoma de Chiapas(恰帕斯自治优秀大学物理与数学科学学院)