Elastic properties of few unit cell thick superconducting crystals of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

We present systematic measurements of the mechanical properties of few unit cell (UC) thick exfoliated crystals of a high-T${}_c$ cuprate superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$. We determine the elastic properties of these crystals by deformation using an atomic force microscope (AFM) at room temperature. With the spatial measurements of local compliance and their detailed modeling, we independently determine the Young's modulus of rigidity and the pre-stress. The Young's modulus of rigidity is found to be in the range of 22 GPa to 30 GPa for flakes with thickness from 5 UC to 18 UC. The pre-stress spreads over the range of 5 MPa - 46 MPa, indicating a run-to-run variation during the exfoliation process. The determination of Young's modulus of rigidity for thin flakes is further verified from recently reported buckling technique.

5 pages, 4 figures. Supplemental Material available at DOI

References in corpus (10)

• Elastic properties of freely suspended MoS2 nanosheets
• Mechanical Properties of Atomically Thin Boron Nitride and the Role of Interlayer Interactions
• Elastic Properties of Chemical-Vapor-Deposited Monolayer MoS2, WS2, and Their Bilayer Heterostructures
• Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity
• Mechanics of freely-suspended ultrathin layered materials
• Force sensitivity of multilayer graphene optomechanical devices
• Revisiting the buckling metrology method to determine the Young's modulus of 2D materials
• How to determine local elastic properties of lipid bilayer membranes from atomic-force-microscope measurements: A theoretical analysis
• Nanoscale electromechanical resonators as probes of the charge density wave transition in NbSe${}_2$
• Nanoelectromechanical resonators from high-T${}_c$ superconducting crystals of Bi${}_2$Sr${}_2$Ca${}_1$Cu${}_2$O${}_{8+\delta }$