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

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= Quantum Magnetism =
 
 
Quantum Magnetism
 
  
 
Energy Spectrum and  
 
Energy Spectrum and  
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'''Tower of States'''
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'''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)
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S=1/2 Square lattice AFM (collinear Néel order)
- S=1/2 Triangular lattice (noncollinear 120o order)
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* S=1/2 Triangular lattice (noncollinear 120o order)
- S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
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* S=1 bilinear-biquadratic square lattice (Ferroquadrupolar order)
- hardcore bosons (superfluid)
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* 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
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Requirements:
  Flexible cluster interface, Lattice library redesign
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* 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