Entropic Spectral Broadening in Carbon Nanotube Resonators

We simulated the behavior of suspended carbon-nanotube (CNT) resonators over a broad range of temperatures to address the unexplained spectral broadening and frequency shifts seen in experiments. We find that thermal fluctuations induce strong coupling between resonance modes. This effect leads to spectral fluctuations which readily account for the experimentally observed quality factors $Q\sim 100$ at $300K$. Using a mean field approach to describe entropic fluctuations we analytically calculate $Q$ and frequency shifts in tensioned and buckled CNTs and find excellent agreement with simulations.