@inproceedings {459,
	title = {Effect of varying the atomic bond stiffness in the heat baths to the thermal conductance of a graphene junction},
	booktitle = {Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2018},
	month = {6{\textendash}9 June 2018},
	pages = {SPP-2018-3B-04},
	address = {Puerto Princesa City, Philippines},
	abstract = {We simulate ballistic thermal transport due to phonons in a graphene junction by letting it interact with heat baths located at its edges and thereby exposing it to a temperature gradient. The bond stretching force constant for the left (L, heat source), central (C, graphene junction) and right (R, heat sink) regions should ideally be the same since they are all made out of graphene with interactions described by the same interatomic potential. But in an experiment, the graphene sheets acting as heat baths are mounted on silicon oxide while the graphene junction in the central region is suspended with a trench underneath it to reduce its coupling to the silicon substrate. In such a case, the force constants may vary from one region to the next. In this paper, we investigate the effect of varying the atomic bond stiffness in the heat baths to the calculated thermal conductance of a graphene junction using the nonequilibrium Green{\textquoteright}s function method. We find that varying the force constants do not have a significant effect as the junction becomes larger and approaches the bulk behavior. At small junctions, the finite-size effect becomes relevant.},
	url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2018-3B-04},
	author = {Nica Jane B. Ferrer and Cristine Villagonzalo}
}
@inproceedings {ferrer,
	title = {Implementing the nonequilibrium Green{\textquoteright}s function method in calculating the phonon transmission in a graphene lattice},
	booktitle = {Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference},
	year = {2017},
	month = {7{\textendash}10 June 2017},
	pages = {SPP-2017-1C-06},
	address = {Cebu City, Philippines},
	abstract = {The phonon transmission in a graphene lattice was determined using the nonequilibrium Green{\textquoteright}s function (NEGF) method. The transport system consists of a graphene lattice that was connected to semi-infinite thermal leads. These leads induce a temperature gradient across the central lattice. To achieve ballistic transport, the leads were also chosen to be graphene lattices. Through the NEGF method, the effect of the leads are easily projected to the central lattice via the self-energies Σrα. The decimation method was used to obtain the retarded surface Green{\textquoteright}s functions for the semi-infinite thermal leads grα(ω). After which, the phonon transmission function χ(ω) was calculated using the Caroli formula for the central region. The phonon transmission as a function of ω was obtained for the first and second renormalizations of the Green{\textquoteright}s functions in the decimation method.},
	url = {http://paperview.spp-online.org/proceedings/article/view/145},
	author = {Nica Jane B. Ferrer and Cristine Villagonzalo}
}
