Lattice

• Maple Leaf Lattice
• Kagome Lattice

Installation

pip install -r ./requirements.txt

• Note: create python virtual environment tutorial (.venv)

  python -m venv .venv

• Activate the virtual environment for linux or MacOS:

  source .venv/bin/activate

  for windows:

  ./.venv/Scripts/Activate.ps1

Parameter Usage

• -L: Length
• -W: Width
• (optional Parameters ⬇️)
• --inputFile: read graph from dwave results (files are in ./results/ folder)
• --saveFig: add this param to save Figure
• --saveLattice: add this param to save lattice file
• --displayType: choose the Figure type ( plain, spinfile, orderP )
  • plain: no color for nodes
  • spinfile: separate color for spins up and down in dwave results
  • orderP: order parameters triangular node hint mark

Run Examples

• Triangular Script Example:

  python ./triangular/main.py -L 12 -W 12 --inputFile ./results/triangular/HYBRID/tri_L12_JL_1.0_HYBRID_sam1_.txt

• Kagome Script Example:

  python ./kagome/main.py -L 12 -W 12 --inputFile ./results/kagome/HYBRID/kagome_L_12_12_HYBRID_sam1_.txt --displayType spinfile

• MapleLeaf Script Example::

  python ./maple-leaf/main.py -L 14 -W 14 --inputFile ./results/mapleleaf/HYBRID/mapleleaf_L_14_14_HYBRID_sam1_.txt --displayType orderP

Note

add --saveFig if want to save Figure add --saveLattice if want to save Lattice File

Note

if not giving --displayType params, default will be spinfile when using inputFile, and plain for not using inputFile

Regulation of Lattice

Triangular

• Total Energy: L^2

Kagome

• Total Energy: $\dfrac{L^2}{2}$
• Total Nodes
  • $L^2 - (L/2) ^2$
  • ex: L: 120 = 14400 - 3600 = 10800

Maple Leaf

• Total Energy: L^2
  • Dwave Hybrid do well until L 77
  • L84：
    • Hybrid：-7052
    • Answer：-7056
• Total Nodes
  • $L^2 - L * (L/7)$
  • $L^2 - \dfrac{L^2}{7} = \dfrac{6}{7}L^2$
  • ex: L 42: 42 * 42 - 42 * 6
  • ex: L 119: 119^2 - 119 * 17 = 14161 - 2023 = 12138
  • ex: L 140: 19600 - 140 * 20 = 19600 - 2800 = 16800