量子霍尔态在轴子探测器中吸收轴子微波的功率
Power of Axion Microwave Absorbed by Quantum Hall State in Haloscope
浏览论文内容
中文总结 AI 辅助
该研究提出用与量子霍尔系统耦合的轴子探测器探测暗物质轴子的新方法，介绍了样品吸收轴子诱导辐射的原理及相关功率、品质因数等公式，通过放置多个样品可获更大功率，还给出了信噪比公式。
中文摘要 AI 辅助
我们提出一种利用与量子霍尔系统耦合的轴子探测器来探测暗物质轴子的新方法。当一个展现量子霍尔效应的半导体样品置于探测器内时，二维电子吸收轴子诱导出的辐射，其吸收功率大到可被检测。我们考虑一个表面积\(S = 10\,\mathrm{cm}^2\)且厚度远小于\(1\mathrm{mm}\)的砷化镓样品，给出了功率公式。假设了无载品质因数\(Q_0 = 10^5\)和暗物质轴子品质因数\(Q_a = 10^6\)，还给出了样品品质因数\(Q_s\)公式。当平行放置\(5\)个具有相同量子霍尔态的薄样品时，可获得更大功率\(P_s\simeq 1.5\times 10^{-23}W\)，并给出了信噪比公式。
英文摘要
We propose a new method for detecting dark matter axions using a resonant cavity coupled to a two-dimensional electron system in the quantum Hall regime. When the cavity is tuned to the axion frequency, the axion-induced electromagnetic field is resonantly enhanced and drives a transverse Hall current in the quantum Hall system. On a quantum Hall plateau, the longitudinal dissipative response is strongly suppressed, $\mathrm{Re}(σ_{xx})\simeq0$, while the Hall conductivity remains finite and quantized, $\mathrm{Re}(σ_{xy})=νe^2/h$. Consequently, the Hall current is essentially nondissipative and introduces only a small additional loss to the cavity, allowing the loaded quality factor to approach the unloaded value, $Q_L\simeq Q_0$. The resulting Hall current is therefore enhanced by the large cavity quality factor, $I_H\propto\mathrm{Re}(σ_{xy})E\propto Q_L$. For a 2D electron density of $3\times10^{11}\mathrm{cm}^{-2}$, filling factor $ν=2$, and $Q_L\sim10^5$--$10^6$, we estimate a Hall current of order $I_H\sim10^{-13}$--$10^{-12}\mathrm{A}$ for an axion mass $m_a\sim10^{-5}\mathrm{eV}$ and a magnetic field $\sim 5\times 10^4\mathrm{G}$. The current is more enhanced by increasing the size of 2D electrons keeping the strength of magnetic field. Under the assumed thermal-noise level and readout conditions, the estimated Hall-current signal can achieve a signal-to-noise ratio greater than unity for an observation time of order $100\mathrm{s}$. The proposed method exploits the unique combination of a finite, quantized transverse response and a strongly suppressed longitudinal dissipation in the quantum Hall state, providing an alternative to conventional metallic-antenna detection in axion haloscopes.
发表机构
- Faculty of International Politics and Economics, Nishogakusha University（立教大学国际政治经济学部）
机构由 AI 辅助整理，请以论文原文为准。
