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We investigate decoherence of an electron in graphene caused byelectron-flexural phonon interaction. We find out that flexural phonons canproduce dephasing rate comparable to the electron-electron one. The problemappears to be quite special because there is a large interval of temperaturewhere the dephasing induced by phonons can not be obtain using the golden rule.We evaluate this rate for a wide range of density ($n$) and temperature ($T$)and determine several asymptotic regions with temperature dependence crossingover from $\tau_{\phi }^{-1}\sim T^{2}$ to $\tau_{\phi}^{-1}\sim T$ whentemperature increases. We also find $\tau_{\phi}^{-1}$ to be a non-monotonousfunction of $n$. These distinctive features of the new contribution can providean effective way to identify flexural phonons in graphene through theelectronic transport by measuring the weak localization corrections inmagnetoresistance.

Dephasing time in graphene due to interaction with flexural phonons