Plasma of Magnetic Monopoles

In the past decade of trying to understand how potential magnetic monopoles would behave in this material, the focus was on the ’free’/independent motion of this magnetic charge. However, it was important to keep in mind and realize that these charges come in pairs of opposite signs. A system similar to this has been in existence for over half a century and is the basis of modern electronics. To understand the temperature and frequency dependence of noise from a magnetic monopole system consisting of equal and opposite charges, it could be instructive to look to its electronic cousin—the semiconductor with electrons and holes. In an intrinsic semiconductor, electric charges ± q that are subject to Coulomb interactions may also undergo spontaneous generation and recombination processes (Fig. 4.1a) that are well understood. Here, thermal generation and recombination (GR) of ± q pairs generates a spectral density of voltage noise \(S_V (\omega ,T)=V^2 S_N (\omega ,T)/N_0^2\), where SN(ω, T) is the spectral density of GR fluctuations in the number of ± q pairs. In this chapter the formalism for magnetic monopole antimonopole generation and recombination is developed. The predictions coming out of this formalism for the analytic form of magnetic monopole noise are layed out. Finally, Monte Carlo simulations for Dysprosium Titanate in the temperature range of 1.2K-4K are compared with the aforementioned predictions.