Heat transport via low-dimensional systems with broken time-reversal symmetry

Abstract

We consider heat transport through systems with broken time-reversal symmetry. We apply strong magnetic fields to weakly charged particle systems, where the dynamics are dominated by the Lorentz force and spring forces. The standard momentum conservation is not satisfied and the sound wave disappears depending on the charge structure. We introduce an exactly solvable model and demonstrate the appearance of a new universality class. The absence of sound waves affects the relation between equilibrium correlation and the diverging thermal conductivity in the open system.

arXiv comment5+6 pages, 4 figures

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• Microscopic theory of the fluctuating hydrodynamics in nonlinear lattices
• Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field
• One-dimensional Superdiffusive Heat Propagation Induced by Optical Phonon-Phonon Interactions
• Observing Golden Mean Universality Class in the Scaling of Thermal Transport
• Thermal conductance of one dimensional disordered harmonic chains
• Nernst-like Effect in a Flexible Chain
• 5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field
• Heat transport in an ordered harmonic chain in presence of a uniform magnetic field