Microwave Dynamical Conductivity in the Quantum Hall Regime

Arakawa, Tomoyuki; Oka, Takashi; Kon, Seitaro; Niimi, Yasuhiro

doi:10.1103/physrevlett.129.046801

Phys. Rev. Lett.

2022

DOI: 10.1103/physrevlett.129.046801

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Microwave Dynamical Conductivity in the Quantum Hall Regime

Tomoyuki Arakawa

Takashi Oka

Seitaro Kon

et al.

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2024

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Cited by 3 publications

References 36 publications

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Microwave Hall measurements using a circularly polarized dielectric cavity

Roppongi,

Arakawa,

Yoshino

et al. 2024

Review of Scientific Instruments

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We have developed a circularly polarized dielectric rutile (TiO2) cavity with a high quality-factor that can generate circularly polarized microwaves from two orthogonal linearly polarized microwaves with a phase difference of ±π/2 using a hybrid coupler. Using this cavity, we have established a new methodology to measure the microwave Hall conductivity of a small single crystal of metal in the skin-depth region. Based on the cavity perturbation technique, we have shown that all components of the surface impedance tensor can be extracted under the application of a magnetic field by comparing the right- and left-handed circularly polarized modes. To verify the validity of the developed method, we performed test measurements on tiny Bi single crystals at low temperatures. As a result, we have successfully obtained the surface impedance tensor components and confirmed that the characteristic field dependence of the ac Hall angle in the microwave region is consistent with the expectation from the dc transport measurements. These results demonstrate a significant improvement in sensitivity compared to previous methods. Thus, our developed technique allows for more accurate microwave Hall measurements, opening the way for new approaches to explore novel topological quantum phenomena, such as time-reversal symmetry breaking in superconductors.

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Microwave Hall measurements using a circularly polarized dielectric cavity

Roppongi,

Arakawa,

Yoshino

et al. 2024

Review of Scientific Instruments

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show abstract

Quantum Hall effect in alternating electric field

Alpomishev,

Adamian,

Antonenko

2024

Phys. Rev. B

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Two-dimensional open quantum system in dissipative bosonic heat bath, external magnetic field, and two time-dependent electric fields

Alpomishev,

Adamian,

Antonenko

2024

Phys. Rev. E

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Microwave Dynamical Conductivity in the Quantum Hall Regime

Cited by 3 publications

References 36 publications

Microwave Hall measurements using a circularly polarized dielectric cavity

Microwave Hall measurements using a circularly polarized dielectric cavity

Quantum Hall effect in alternating electric field

Two-dimensional open quantum system in dissipative bosonic heat bath, external magnetic field, and two time-dependent electric fields

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