Qsymm Tutorial

• Qsymm Basics
  • Defining a Qsymm model
  • Defining group elements
  • Defining continuous group generators
  • Finding symmetries
  • Generating Hamiltonians from symmetry constraints
• Finding Symmetries
  • A basic example
  • Adding more elements
  • Rashba Hamiltonian with \(J = 3/2\)
  • Bloch Hamiltonian
  • Continuous rotation symmetry
  • \(k \cdot p\) Hamiltonian
• Generating tight-binding models
  • Graphene
  • Three-orbital tight-binding model for monolayer \(MX_2\)
  • 4-site model for monolayer \(WTe_2\)
  • Square lattice with 4 sites in the unit cell
• Generating \(k \cdot p\) models
  • Hexagonal warping
  • BHZ model
  • Three-dimensional topological insulator
  • Continuous rotations
  • Distorted SnTe
  • Break C3 symmetry
  • Break inversion symmetry
• Finding symmetries of the Kekule-Y continuum model
  • Kekule-Y
  • Continuous rotation symmetries of continuum models
  • Lattice models