Developers:FutureTutorials:ED Lattice models

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Quantum Magnetism

Continuous Symmetry Breaking in 2D: Tower of States

Physical examples (or a subset thereof):

  • S=1/2 Square lattice AFM (collinear Néel order)
  • S=1/2 Triangular lattice (noncollinear 120 degree order)
  • S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
  • hardcore bosons (superfluid)

Calculate low lying energy spectrum with Lanczos or fulldiag extract total S (if applicable) of each eigenstate. Simple for fulldiag, more involved based on partial Lanczos spectra


  • Flexible cluster interface, Lattice library redesign


Calculate the phase diagram of say the 1D transverse field Ising model using fidelity