RT Journal Article T1 Feshbach-type resonances for two-particle scattering in graphene A1 Gaul, C. A1 Domínguez-Adame Acosta, Francisco A1 Sols Lucía, Fernando A1 Zapata, I. AB Two-particle scattering in graphene is a multichannel problem, where the energies of the identical or opposite-helicity channels lie in disjoint energy segments. Due to the absence of Galilean invariance, these segments depend on the total momentum Q. The dispersion relations for the two opposite-helicity scattering channels are analogous to those of two one-dimensional tight-binding lattices with opposite dispersion relations, which are known to easily bind states at their edges. When an s-wave separable interaction potential is assumed, those bound states reveal themselves as three Feshbach resonances in the identical-helicity channel. In the limit Q -> 0, one of the resonances survives and the opposite-helicity scattering amplitudes vanish. PB American Physical Society SN 0163-1829 YR 2014 FD 2014-01-21 LK https://hdl.handle.net/20.500.14352/33623 UL https://hdl.handle.net/20.500.14352/33623 LA eng NO [1] K. S.Novoselov,A.K. Geim, S.V. Morozov, D. Jiang,Y. hang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Science 306, 666 (2004).[2] P. R. Wallace, Phys. Rev. 71, 622 (1947).[3] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).[4] V. Kotov, B. Uchoa, V. Pereira, F. Guinea, and A. Neto, ev. Mod. Phys. 84, 1067 (2012).[5] J. Sabio, F. Sols, and F. Guinea, Phys. Rev. B 81, 045428 (2010).[6] R. N. Lee, A. I. Milstein, and I. S. Terekhov, Phys. Rev. B 86, 035425 (2012).[7] N. M. R. Peres, Rev. Mod. Phys. 82, 2673 (2010).[8] U. Fano, Nuovo Cimento 12, 154 (1935).[9] U. Fano, Phys. Rev. 124, 1866 (1961).[10] H. Feshbach, Ann. Phys. 5, 357 (1958).[11] T. K¨ohler, K. G´oral, and P. Julienne, Rev. Mod. Phys. 78, 1311 (2006).[12] C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010).[13] M. Spiegel and J. Liu, Schaum’s Outline of Mathematical Handbook of Formulas and Tables (Mcgraw-Hill, New York, 1998). NO © 2014 American Physical Society.The authors thank F. Guinea and N. Zinner for helpful comments. This work was supported by MINECO through Grants No. FIS2010-21372 and No. MAT2010-17180, by Comunidad de Madrid through Grant Microseres-CM, and by the EU through Marie Curie ITN NanoCTM. Research of C.G. was supported by a PICATA postdoctoral fellowship from the Moncloa Campus of International Excellence (UCM-UPM). NO Comunidad de Madrid NO Ministerio de Economía y Competitividad (MINECO) NO Unión Europea. FP7 NO Moncloa Campus de Excelencia Internacional (UCM-UPM) DS Docta Complutense RD 20 may 2024