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

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= Quantum Magnetism =
 
= Quantum Magnetism =
 
Energy Spectrum and
 
 
 
  
 
'''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 Square lattice AFM (collinear Néel order)
* S=1/2 Triangular lattice (noncollinear 120o order)
+
* 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