Theory of conductivity of chiral particles

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Authors

KAILASVUORI Janík ŠOPÍK Břetislav TRUSHIN Maxim

Year of publication 2013
Type Article in Periodical
Magazine / Source Journal of Statistical Mechanics - Theory and Experiment
MU Faculty or unit

Central European Institute of Technology

Citation
Web http://iopscience.iop.org/1742-5468/2013/12/P12006
Doi http://dx.doi.org/10.1088/1742-5468/2013/12/P12006
Field Solid matter physics and magnetism
Keywords graphene; Boltzmann theory; transport
Attached files
Description In this methodology focused paper we scrutinize the application of the band-coherent Boltzmann equation approach to calculating the conductivity of chiral particles. As the ideal testing ground we use the two-band kinetic Hamiltonian with an N-fold chiral twist that arises in a low-energy 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 band-coherent Boltzmann approach including the ill-understood principal value terms that are a byproduct of several quantum many-body theory derivations of Boltzmann collision integrals. Further on, we employ the finite-size 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.
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