Superconducting vortex-charge measurement using cavity electromechanics

Abstract

As the magnetic field penetrates the surface of a superconductor, it results in the formation of flux-vortices. It has been predicted that the flux-vortices will have a charged vortex core and create a dipolelike electric field. Such a charge trapping in vortices is particularly enhanced in high-T${}_c$ superconductors (HTS). Here, we integrate a mechanical resonator made of a thin flake of HTS Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ into a microwave circuit to realize a cavity-electromechanical device. Due to the exquisite sensitivity of cavity-based devices to the external forces, we directly detect the charges in the flux-vortices by measuring the electromechanical response of the mechanical resonator. Our measurements reveal the strength of surface electric dipole moment due to a single vortex core to be approximately 30~$|e|a_B$, equivalent to a vortex charge per CuO${}_2$ layer of $3.7\times 10^{-2}|e|$, where $a_B$ is the Bohr radius and $e$ is the electronic charge.

arXiv comment7 pages, 4 figures and Supporting Information

References in corpus (24)

• Cavity Optomechanics
• Optomechanically induced transparency
• Direct Observation of the Skyrmion Hall Effect
• Superconducting Vortex with Antiferromagnetic Core
• Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity
• Coupling graphene mechanical resonators to superconducting microwave cavities
• Control of microwave signals using circuit nano-electromechanics
• Electrostatics of Vortices in Type II Superconductors
• Magnetic and electronic phase transitions probed by nanomechanical resonance
• Sign reversing Hall effect in atomically thin high temperature superconductors
• Charged Vortices in High Temperature Superconductors Probed by NMR
• Ultra-high critical current densities of superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films in the overdoped state
• Magnetic hysteresis effects in superconducting coplanar microwave resonators
• Modulation of mechanical resonance by chemical potential oscillation in graphene
• Optomechanical measurement of thermal transport in two-dimensional MoSe2 lattices
• Vortex Charges in High Temperature Superconductors
• Thin superconducting disk with B-dependent Jc: Flux and current distributions
• Charge profile in vortices
• Molybdenum-Rhenium alloy based high-$Q$ superconducting microwave resonators
• Superconducting critical current of a single Cu2O4-plane in Bi2Sr2CaCu2O8+x single crystal
• Antiferromagnetism and charged vortices in high-Tc superconductors
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Charge Induced Vortex Lattice Instability
• Nanoelectromechanical resonators from high-T${}_c$ superconducting crystals of Bi${}_2$Sr${}_2$Ca${}_1$Cu${}_2$O${}_{8+\delta }$

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