title: Dephasing time in graphene due to interaction with flexural phonons.
abstract: We investigate decoherence of an electron in graphene caused by electron-flexural phonon interaction. We find out that flexural phonons can produce a dephasing rate comparable to the electron-electron one. The problem appears to be quite special because there is a large interval of temperature where the dephasing induced by phonons cannot be obtained using the golden rule. We evaluate this rate for a wide range of density (n) and temperature (T) and determine several asymptotic regions with the temperature dependence crossing over from τ_{ϕ}^{-1}∼T^{2} to τ_{ϕ}^{-1}∼T when temperature increases. We also find τ_{ϕ}^{-1} to be a nonmonotonic function of n. These distinctive features of the new contribution can provide an effective way to identify flexural phonons in graphene through the electronic transport by measuring the weak-localization corrections in magnetoresistance.
authors.affiliation: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA and Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel and L. D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia and Moscow Institute of Physics and Technology, 141700 Moscow, Russia.
authors.forename: Konstantin S
authors.initials: KS
authors.lastname: Tikhonov
authors.affiliation: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA and Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel.
authors.forename: Wei L Z
authors.initials: WL
authors.lastname: Zhao
authors.affiliation: Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA and Department of Condensed Matter Physics, The Weizmann Institute of Science, 76100 Rehovot, Israel and Institut für Nanotechnolsogie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany.
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Finkel'stein