200 likes | 214 Views
plasmino in graphene at finite temperature?. Daqing Liu Changzhou University, China. Outline. Collective Excitations in hot QCD Possible collective excitations in warm graphene Outlook. In QCD, about T>150Mev, there is a first phase transition (QCDPT). i.e.,.
E N D
plasmino in graphene at finite temperature? Daqing Liu Changzhou University, China
Outline • Collective Excitations in hot QCD • Possible collective excitations in warm graphene • Outlook
In QCD, about T>150Mev, there is a first phase transition (QCDPT). i.e., L.S. Kisslinger and D. Das, arXiv:1411.3680
Two ways to get so high temperature • Early universe • Latent heat. heavy ion collision, RHIC and LHC
In QGP, there are two collective excitations Plasmon Plasmino
arXiv:1208.6386 arXiv:1109.0088 arXiv:hep-ph/0509339
Possible collective excitations in warm graphene • Plasmon 1) F.H.L. Koppens, D.E. Chang and F.J.G. de Abajo, Graphene plasmonics: A platform for stron Light-matter interactions, Nano Lett. 11, 3370 (2011) 2) S.D. Sarma and E.H. Hwang, Collective modes of the massless Dirac plasma, Phys.Rev.Lett. 102, 206412 (2009) 3) Y. Liu, R.F. Willis, K.V. Emtsev and T. Seyller, Plasmon dispersion and damping in electrically isolated two-dimesenional charge sheets, Phs. Rev. B78 201403(R) (2008) 4) S.D. Sarma and Q. Li, Intrinsic plasmon in 2D Dirac materials, Phys. Rev. B. 87, 235418 (2013)
Propagators • Fermion • where • Potential
Feynman diagram for carrier self-energy correction As for the correction from temperature, there are two cases, High temperature, Debye screening Low temperature (The influence of T on V is neglected) We also focus on the case
Phys. Rev. B 85, 085420 (2012) Phys.Lett. B359 (1995) 148-154
This is the main challenge of the topic. We set To calculate the correction we introduce invariants We have and the domain of the integration and ,
The self-energy correction can be divided into two parts, The scalar part, which is an odd function of , The spinor part, which is an even function of , ?
In RPA, the full carrier propagator is The zero point is at
To simplify the discussion, we assume We have two solutions T=0.5
The difference between with 0.06 term and wothout 0.06 term T=0.3. The fit curve is
Outlook • Graphene: The TRUE bridge between high- and low-energy physics • The (anti-)plasmino states in graphene can help us to understand (anti-)plasmino in QGP and hot QCD.