# Crossover from ballistic to normal heat transport in the $\phi^{4}$ lattice: If nonconservation of momentum is the reason, what is the mechanism?

## TL;DR

This paper investigates the microscopic mechanism behind normal heat transport in 1D $\

## Contribution

It proposes that mobile discrete breathers are responsible for normal heat conduction in a momentum-nonconserving $\

## Key findings

- Mobile discrete breathers can facilitate normal heat transport.
- Moving intrinsic localized modes are linked to Fourier's law validity.
- The study offers a microscopic explanation for heat transport behavior.

## Abstract

Anomalous (non-Fourier's) heat transport is no longer just a theoretical issue since it has been observed experimentally in a number of low-dimensional nanomaterials, such as SiGe nanowires, carbon nanotubes, and others. To understand these anomalous behaviors, exploring the microscopic origin of normal (Fourier's) heat transport is a fascinating theoretical topic. However, this issue has not yet been fully understood even for one-dimensional (1D) model chains, in spite of a great amount of thorough studies done to date. From those studies it has been widely accepted that the conservation of momentum is a key ingredient to induce anomalous heat transport, while momentum-nonconserving systems usually support normal heat transport where Fourier's law is valid. But if the nonconservation of momentum is the reason, what is the underlying microscopic mechanism for the observed normal heat transport? Here we carefully revisit a typical 1D momentum-nonconserving $\phi^{4}$ model and present evidence that the mobile discrete breathers or, in other words, the moving intrinsic localized modes with frequency components above the linear phonon band can be responsible for that.