Dirac and Klein-Gordon particles in one-dimensional periodic potentials

Details Dirac and Klein-Gordon particles in one-dimensional periodic potentials Dirac and Klein-Gordon particles in one-dimensional periodic potentials

2011-01-20

arxiv.org/abs/1101.3900v1

Phys. Rev. B 77, 115446 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 12 figures

Scientific paper

10.1103/PhysRevB.77.115446

We evaluate the dispersion relation for massless fermions, described by the Dirac equation, and for zero-spin bosons, described by the Klein-Gordon equation, moving in two dimensions and in the presence of a one-dimensional periodic potential. For massless fermions the dispersion relation shows a zero gap for carriers with zero momentum in the direction parallel to the barriers in agreement with the well-known "Klein paradox". Numerical results for the energy spectrum and the density of states are presented. Those for fermions are appropriate to graphene in which carriers behave relativistically with the "light speed" replaced by the Fermi velocity. In addition, we evaluate the transmission through a finite number of barriers for fermions and zero-spin bosons and relate it with that through a superlattice.

Affiliated with

Also associated with

No associations

Rating

Dirac and Klein-Gordon particles in one-dimensional periodic potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dirac and Klein-Gordon particles in one-dimensional periodic potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac and Klein-Gordon particles in one-dimensional periodic potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333570