论文标题
可编程量子霍尔三角仪:迈向量子计量学的新型阻力标准
Programmable quantum Hall bisector: towards a novel resistance standard for quantum metrology
论文作者
论文摘要
我们展示了一个可编程量子厅电路,该量子厅电路实现了新型迭代电压一分配方案,并允许获得基本电阻量子$ r_k/2 = h/2e^2 $的任何二进制分数$(k/2^n)$。该电路需要一个数字$ n $的分分阶段,该阶段仅以分数的精度对数进行对数扩展。 $ k $的值可以通过适当的门配置设置为1到$ 2^n $之间的任何整数。该体系结构利用了稳健量子厅状态的边缘模式的栅极控制路由,混合和平衡。该设备不包含{\ em Any}内部欧姆触点可能导致虚假电压下降。我们的方案介绍了电阻标准的量子大厅阵列的关键关键方面,如今已广泛研究并用于创建自定义校准电阻。该方法在原理证明的两阶段一分子级电路中证明了这一方法,以高弹性GAAS/ALGAAS异质结构在$ 260 \,{\ rm Mk} $的温度下运行,磁场为$ 4.1 \,{\ rm rm t} $。
We demonstrate a programmable quantum Hall circuit that implements a novel iterative voltage bisection scheme and allows obtaining any binary fraction $(k/2^n)$ of the fundamental resistance quantum $R_K/2=h/2e^2$. The circuit requires a number $n$ of bisection stages that only scales logarithmically with the precision of the fraction. The value of $k$ can be set to any integer between 1 and $2^n$ by proper gate configuration. The architecture exploits gate-controlled routing, mixing and equilibration of edge modes of robust quantum Hall states. The device does not contain {\em any} internal ohmic contact potentially leading to spurious voltage drops. Our scheme addresses key critical aspects of quantum Hall arrays of resistance standards, which are today widely studied and used to create custom calibration resistances. The approach is demonstrated in a proof-of-principle two-stage bisection circuit built on a high-mobility GaAs/AlGaAs heterostructure operating at a temperature of $260\,{\rm mK}$ and a magnetic field of $4.1\,{\rm T}$.