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

From ALPS

Line 1: | Line 1: | ||

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

+ | |||

+ | "Spin S Heisenberg chains & ladders" | ||

+ | |||

+ | "t-J chains & t-J Ladders" | ||

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

## Revision as of 15:09, 30 June 2012

# Quantum Magnetism

"Spin S Heisenberg chains & ladders"

"t-J chains & t-J Ladders"

**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

Requirements:

- calculate overlaps of wave functions (in the same sector, when calculating sector based data)