TY - JOUR
T1 - Non-linear dynamics, breathers and photoinduced absorption in polyacetylene
AU - Bishop, A. R.
AU - Campbell, D. K.
AU - Lomdahl, P. S.
AU - Horovitz, B.
AU - Phillpot, S. R.
N1 - Funding Information:
We are gratefult o J. Orensteina nd Z. Vardenyf or detailedd iscussions of their publisheda nd unpublishedd ata, to B. Hudson and Z. Soos for explanationo f the role of Coulomb interactionsin optical absorptionin finite polyenest,o A. Epstein for a valuablec ommento n the photoinduced absorptiond atain cis-(CH)x and to J. R. Schrieffer,E . Mele and T. Schultz for helpfulr emarksT. wo of us (BH and SRP) thank the Centerf or Nonlinear Studies,L os Alamos National Laboratoryf,o r hospitalityT. his researchw as supportedb y grantsf rom the U.S. Departmenotf Energya ndthe U.S.-Israel BinationalS cienceF oundation(B SF), JerusalemI,s rael.
PY - 1984/1/1
Y1 - 1984/1/1
N2 - We study the dynamics of trans-(CH)x within the adiabatic approximation to the model of Su, Schrieffer and Heeger (SSH). We show, both by a qualitative analytic estimate and by quantitative numerical results, that a single soliton has a maximum velocity, vm, which can be higher than the velocity of sound. Further, using a long-time numerical simulation, we demonstrate that, from an initial-hole pair, such as would be generated in photoinduced experiments, a soliton and antisoliton emerge with velocities ±vm and that a persistent, spatially localized, time-periodic non-linear oscillation - a 'breather' - is left behind. We argue that this breather may account for the high energy, intra-gap structure observed in photoinduced absorption in both trans- and cis-(CH)x, including isotope dependence recently observed in experiments on trans-(CH)x and trans-(CD)x.
AB - We study the dynamics of trans-(CH)x within the adiabatic approximation to the model of Su, Schrieffer and Heeger (SSH). We show, both by a qualitative analytic estimate and by quantitative numerical results, that a single soliton has a maximum velocity, vm, which can be higher than the velocity of sound. Further, using a long-time numerical simulation, we demonstrate that, from an initial-hole pair, such as would be generated in photoinduced experiments, a soliton and antisoliton emerge with velocities ±vm and that a persistent, spatially localized, time-periodic non-linear oscillation - a 'breather' - is left behind. We argue that this breather may account for the high energy, intra-gap structure observed in photoinduced absorption in both trans- and cis-(CH)x, including isotope dependence recently observed in experiments on trans-(CH)x and trans-(CD)x.
UR - http://www.scopus.com/inward/record.url?scp=2742552719&partnerID=8YFLogxK
U2 - 10.1016/0379-6779(84)90061-4
DO - 10.1016/0379-6779(84)90061-4
M3 - Article
AN - SCOPUS:2742552719
SN - 0379-6779
VL - 9
SP - 223
EP - 239
JO - Synthetic Metals
JF - Synthetic Metals
IS - 2
ER -