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

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= Quantum Magnetism = | = Quantum Magnetism = | ||

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'''Continuous Symmetry Breaking in 2D: 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 | + | * S=1/2 Triangular lattice (noncollinear 120 degree order) |

* S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order) | * S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order) | ||

* hardcore bosons (superfluid) | * hardcore bosons (superfluid) | ||

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Requirements: | Requirements: | ||

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

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+ | '''Fidelity''' | ||

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

## Revision as of 11:19, 30 June 2012

# 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

Requirements:

- Flexible cluster interface, Lattice library redesign

**Fidelity**

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