Phase diagram for the Harper model of the honeycomb lattice
Strongly Correlated Electrons
2018-09-26 v1 Disordered Systems and Neural Networks
Statistical Mechanics
Abstract
The Harper equation arising out of a tight-binding model of electrons on a honeycomb lattice subject to a uniform magnetic field perpendicular to the plane is studied. Contrasting and complementary approaches involving von Neumann entropy, fidelity, fidelity susceptibility, multifractal analysis are employed to characterize the phase diagram. The phase diagram consists of three phases: two metallic phases and an insulating phase. A variant model where next nearest neighbor hopping is included, exhibits a mobility edge and does not allow for a simple single phase diagram characterizing all the eigenstates.
Keywords
Cite
@article{arxiv.1711.08204,
title = {Phase diagram for the Harper model of the honeycomb lattice},
author = {Geo Jose and Rajesh Malla and Varadharajan Srinivasan and Auditya Sharma and Suhas Gangadharaiah},
journal= {arXiv preprint arXiv:1711.08204},
year = {2018}
}
Comments
8 pages, 12 figures