We consider a harmonic chain of oscillators in the presence of a disordered magnetic field. The disorder, in general, causes localization of the normal modes, due to which a system becomes insulating. However, for this system, the localization length diverges as the normal mode frequency approaches zero. Therefore, the low-frequency modes contribute to the heat transmission and the heat current goes down as a power law with the system size. This power law is determined by the small frequency behavior of some Lyapunov exponents and the heat transmission in the thermodynamic limit. We find the behavior of these two quantities and show that the power law for the current is different for zero and nonzero expectation value of the magnetic field.

*Junaid Majeed-Bhat, FMF Ljubljana

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