Theory of conductivity of chiral particles
Abstract
In this methodology focused paper we scrutinize the application of the bandcoherent Boltzmann equation approach to calculating the conductivity of chiral particles. As the ideal testing ground we use the twoband kinetic Hamiltonian with an Nfold chiral twist that arises in a lowenergy description of charge carriers in rhombohedrally stacked multilayer graphene. To understand the role of chirality in the conductivity of such particles we also consider the artificial model with the chiral winding number decoupled from the power of the dispersion. We first utilize the approximate but analytically solvable bandcoherent Boltzmann approach including the illunderstood principal value terms that are a byproduct of several quantum manybody theory derivations of Boltzmann collision integrals. Further on, we employ the finitesize Kubo formula with the exact diagonalization of the total Hamiltonian perturbed by disorder. Finally, we compare several choices of Ansatz in the derivation of the Boltzmann equation according to the qualitative agreement between the Boltzmann and Kubo conductivities. We find that the best agreement can be reached in the approach where the principal value terms in the collision integral are absent.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 December 2013
 DOI:
 10.1088/17425468/2013/12/P12006
 arXiv:
 arXiv:1304.3929
 Bibcode:
 2013JSMTE..12..006K
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 21 pages, 5 figures