Axion Detection with Quantum Hall Effect

Abstract

Abstract Plateau–plateau transition in the integer quantum Hall effect is a phase transition between metal and insulator. The behavior describing how the width ΔB of the transition changes with temperature and frequency of radiations imposed has been explored extensively. It decreases with the decrease of temperature and frequency, but saturates at a critical temperature or frequency. We have recently discussed the effect of axion dark matter on the saturation. The axion generates radiations under a strong magnetic field in the experiment of the quantum Hall effect. The radiations play a similar role to that of radiations imposed externally. In this paper we discuss in detail how the width behaves in relation to temperature and frequency under the effect of axion dark matter. We show that the axion effect can be observable in low temperatures roughly below 100 mK. According to our detailed analysis of the saturation, we find that the critical frequency of saturation observed in the previous experiment strongly suggests axion mass ma = (0.95∼0.99) × 10−5 eV.