  Heat transport in low-dimensional systems has attracted enormous attention
from both theoretical and experimental aspects due to its significance to the
perception of fundamental energy transport theory and its potential
applications in the emerging filed of phononics: manipulating heat flow with
electronic anologs. We consider the heat conduction of one-dimensional
nonlinear lattice models. The energy carriers responsible for the heat
transport have been identified as the renormalized phonons. Within the
framework of renormalized phonons, a phenomenological theory, effective phonon
theory, has been developed to explain the heat transport in general
one-dimensional nonlinear lattices. With the help of numerical simulations, it
has been verified that this effective phonon theory is able to predict the
scaling exponents of temperature-dependent thermal conductivities
quantitatively and consistently.
