This program allows to perform tight binding calculations with a user friendly interface
The program runs in Linux and Mac machines.
Download the file "quantum-honeycomp-latest.tar", uncompress it, and execute the script "install". Afterwards, you can execute the program by writting in a terminal "quantum-honeycomp"
This program uses several Python libraries. The simplest way of getting all the dependencies is by installing Python Anaconda from https://www.anaconda.com/distribution/#download-section
For using this program in Windows, the easiest solution is to create a virtual machine using Virtual Box, installing a version of ubuntu in that virtual machine, and following the previous instructions.
This program allows to study a variety of electronic states by means of tight binding models as shown below.
Honeycomb lattice with Rashba spin-orbit coupling and exchange field, giving rise to a net Chern number and chiral edge states https://journals.aps.org/prb/abstract/10.1103/PhysRevB.82.161414
Honeycomb lattice with Kane-Mele spin-orbit coupling and Rashba spin-orbit coupling, giving rise to a gapped spectra with a non-trivial Z2 invariant and helical edge states https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.226801
Self-consistent mean field calculation of a zigzag graphene ribbon, with electronic interactions included as a mean field Hubbard model. Interactions give rise to an edge magnetization in the ribbon, with an antiferromagnetic alignment between edges
band structure of a slab of a 3D nodal line semimetal in a diamond lattice, showing the emergence of topological zero energy drumhead states in the surface of the slab https://link.springer.com/article/10.1007%2Fs10909-017-1846-3
Spectra and spatially resolved density of states of a triangular graphene island, showing the emergence of confined modes
Electronic spectra of a massive honeycomb lattice in the presence of an off-plane magnetic field, giving rise to Landau levels and chiral edge states
Bandstructure and local density of states of twisted bilayer graphene at the magic angle, showing the emergence of a flat band, with an associated triangular density of states https://journals.aps.org/prb/abstract/10.1103/PhysRevB.82.121407
- Tight binding models in different lattices (triangular, square, honeycomb, Kagome, Lieb, diamond, pyrochlore)
- Tunable parameters in the Hamiltonian (Fermi energy, magnetic order, sublattice imbalance, magnetic field, Rashba spin-orbit coupling, intrinsic spin-orbit coupling, Haldane coupling, anti-Haldane coupling, s-wave superconductivity)
- Different results are automatically plotted from the interface
- Band structure of 0d,1d,2d systems
- Density of states of 0d,1d,2d systems
- Selfconsistent mean field Hubbard calculations of 0d,1d,2d systems
- Berry curvature, Chern number and Z2 invariant in 2d systems
- Special module to deal with systems with 100000 atoms using the Kernel polynomial method
- Special modules to study 1d and 2d study interfaces between different systems