Phase diagram for the Harper model of the honeycomb lattice
arXiv:1711.08204 · doi:10.1088/1361-648X/aada3d
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.
8 pages, 12 figures
References in corpus (11)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Many body localization in the presence of a single particle mobility edge
- Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
- Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
- Comment on "Creating artificial magnetic fields for cold atoms by photon-assisted tunneling" by Kolovsky A.R
- Quantum walks in commensurate off-diagonal Aubry-André-Harper model
- Triangular and Honeycomb Lattices of Cold Atoms in Optical Cavities