Effect of phonon-phonon interactions on localization

Abstract

We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays exponentially with system size N. Using simulations we find that even a small amount of anharmonicity leads to a J~1/N dependence, implying diffusive transport of energy.

4 pages, 2 figures, Published version

References in corpus (7)

• Localization of interacting fermions at high temperature
• Destruction of Anderson localization by a weak nonlinearity
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Local Temperature and Universal Heat Conduction in FPU chains
• Energy Transport in Weakly Anharmonic Chains
• Variable range hopping and quantum creep in one dimension

Cited by in corpus (10)

• Heat Transport in low-dimensional systems
• Universal spreading of wavepackets in disordered nonlinear systems
• Delocalization induced by nonlinearity in systems with disorder
• Finite temperature transport in disordered Heisenberg chains
• Role of pinning potentials in heat transport through disordered harmonic chain
• Reconstructing Fourier's law from disorder in quantum wires
• Nonlinear delocalization on disordered Stark ladder
• Thermal Conductivity for a Noisy Disordered Harmonic Chain
• Asymptotic non-equilibrium steady state operators
• Thermal conductivity for a chain of anharmonic oscillators perturbed by a conservative noise