# Difference between revisions of "Developers:FutureTutorials:ED Lattice models"

From ALPS

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− | + | = Quantum Magnetism = | |

− | |||

− | Quantum Magnetism | ||

Energy Spectrum and | Energy Spectrum and | ||

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− | '''Tower of States''' | + | '''Continuous Symmetry Breaking in 2D: Tower of States''' |

Physical examples (or a subset thereof): | Physical examples (or a subset thereof): | ||

− | + | * S=1/2 Square lattice AFM (collinear Néel order) | |

− | + | * S=1/2 Triangular lattice (noncollinear 120o 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 | 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 | ||

− | Requirements | + | Requirements: |

− | + | * Flexible cluster interface, Lattice library redesign |

## Revision as of 11:08, 30 June 2012

# Quantum Magnetism

Energy Spectrum and

**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 120o 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

Requirements:

- Flexible cluster interface, Lattice library redesign