mVMC with Hartree-Fock solutions

• Use mVMC

• See also mVMC-tutorial, mVMC check for tight binding models

• Lattices and assumed orders

  • 1D
    • Chain
      • FM (x direction, 1sub)
  • 2D
    • Square
      • staggered AF (z direction, 2x1sub)
      • staggered AF (x direction, 2x1sub)
    • Triangular
      • 120 Neel (xy plane, 3x1sub)
      • up-up-down-down / zigzag (xy plane, 4x1sub)
    • Honeycomb
      • staggered AF (z direction, 2x1sub)

Useful references

• General

  • Wave functions with the collinear AF order along the z axis (no singlet and triplet mixing)
    • See Yokoyama-Shiba DOI:10.1143/JPSJ.56.3582
  • Spin singlet and triplet mixing case (such as inplane collinear magnet, noncollinear magnet, ...)
    • Pfaffian wave functions (the spin Jastrow factor improves the energy more than the Slater type)
    • See Lugas-Spanu-Becca-Sorella DOI:10.1103/PhysRevB.74.165122, Spanu-Lugas-Becca-Sorella DOI:10.1103/PhysRevB.77.024510, Bajdich-Mitas-Wagner-Schmidt DOI:10.1103/PhysRevB.77.115112, Heidarian-Sorella-Becca DOI:10.1103/PhysRevB.80.012404

• Square

  • AF + d-wave
    • See Yokoyama-Shiba DOI:10.1143/JPSJ.56.3582, Himeda-Ogata DOI:10.1103/PhysRevB.60.R9935, Chen-Joynt-Zhang-Gros DOI:10.1103/PhysRevB.42.2662, Giamarchi-Lhuillier DOI:10.1103/PhysRevB.43.12943, Tahara-Imada DOI:10.1143/JPSJ.77.114701

• Triangular

  • 120 Neel
    • See Watanabe-Yokoyama-Tanaka-Inoue DOI:10.1103/PhysRevB.77.214505, Tocchio-Feldner-Becca-Valenti-Gros DOI:10.1103/PhysRevB.87.035143, Tocchio-Gros-Valenti-Becca DOI:10.1103/PhysRevB.89.235107
    • See also Hartree-Fock energy (6x6) Maruyama-Sato-Tomita DOI:10.1088/1742-6596/320/1/012061
  • Up-up-down-down / zigzag
    • See, for example, (not VMC) Jayaprakash-Krishnamurthy-Sarker-Wenzel DOI:10.1209/0295-5075/15/6/011, Krishnamurthy-Jayaprakash-Sarker-Wenzel DOI:10.1103/PhysRevLett.64.950, Capone-Capriotti-Becca-Caprara DOI:10.1103/PhysRevB.63.085104, Satoh-Ozaki-Maruyama-Tomita DOI:10.1103/PhysRevB.84.245101, Chern-Barros-Wang-Suwa-Batista DOI:10.1103/PhysRevB.97.035120