%0 Unpublished work %T Temperature Dependent Zero-Field Splittings in Graphene %+ Laboratoire Charles Coulomb (L2C) %A Bray, C. %A Maussang, K. %A Consejo, C. %A Delgado-Notario, J. A. %A Krishtopenko, S. S. %A Yahniuk, I. %A Gebert, S. %A Ruffenach, S. %A Dinar, K. %A Moench, E. %A Indykiewicz, K. %A Jouault, B. %A Torres, J. %A Meziani, Y. M. %A Knap, W. %A Yurgens, A. %A Ganichev, S. D. %A Teppe, F. %Z Main text with figures (18 pages) and Supplementary Information (11 pages) %8 2022-10-21 %D 2022 %Z 2209.14001 %Z Physics [physics]Preprints, Working Papers, ... %X Graphene is a quantum spin Hall insulator with a 45 $\mu$eV wide non-trivial topological gap induced by the intrinsic spin-orbit coupling. Even though this zero-field spin splitting is weak, it makes graphene an attractive candidate for applications in quantum technologies, given the resulting long spin relaxation time. On the other side, the staggered sub-lattice potential, resulting from the coupling of graphene with its boron nitride substrate, compensates intrinsic spin-orbit coupling and decreases the non-trivial topological gap, which may lead to the phase transition into trivial band insulator state. In this work, we present extensive experimental studies of the zero-field splittings in monolayer and bilayer graphene in a temperature range 2K-12K by means of sub-Terahertz photoconductivity-based electron spin resonance technique. Surprisingly, we observe a decrease of the spin splittings with increasing temperature. We discuss the origin of this phenomenon by considering possible physical mechanisms likely to induce a temperature dependence of the spin-orbit coupling. These include the difference in the expansion coefficients between the graphene and the boron nitride substrate or the metal contacts, the electron-phonon interactions, and the presence of a magnetic order at low temperature. Our experimental observation expands knowledge about the non-trivial topological gap in graphene. %G English %L hal-03824955 %U https://hal.science/hal-03824955 %~ CNRS %~ L2C %~ UNIV-MONTPELLIER %~ ANR %~ UM-2015-2021 %~ UM-EPE %~ TEST3-HALCNRS