Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach

Autor:	Sinner, Andreas, Tkachov, Gregor
Rok vydání:	2022
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Strongly Correlated Electrons High Energy Physics - Theory
Zdroj:	The European Physical Journal B 95, 95 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1140/epjb/s10051-022-00358-1
Popis:	We study the electronic transport in the lowest Landau level of disordered two-dimensional semimetals placed in a homogeneous perpendicular magnetic field. The material system is modeled by the Bernevig-Hughes-Zhang Hamiltonian, which has zero energy Landau modes due to the material's intrinsic Berry curvature. These turn out to be crucially important for the density of states and the static conductivity of the disordered system. We develop an analytical approach to the diffusion and conductivity based on a self-consistent equation of motion for the mean squared displacement. The obtained value of the zero mode conductivity is close to the conductivity of disordered Dirac electrons without magnetic fields, which have zero energy points in the spectrum as well. Our analysis is applicable in a broader context of disordered two-dimensional electron gases in strong magnetic fields. Comment: Application to graphene in Nanomaterials 12, 1675 (2022), https://doi.org/10.3390/nano12101675
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.02873 Zobrazit plný text záznamu View this record from Arxiv