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Two-dimensional XX model

  1. Jun 13, 2008 #1

    Gec

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    I am curious about XX model with quantum 1/2-spins in two dimensions. Is ground state energy for this model known? I was not able to find numerical or theoretical results in electronical archives.
     
  2. jcsd
  3. Jun 14, 2008 #2
    Jordan-wigner transformation is useful for 1/2 spin system
    i don't remember the Hamiltonian of xx model, but for 2 d system, seems difficult to sovle it exactly.
    some numerical methods, like lanczos algorithm ,VMC...
    try some old archives in prl and prb at 1980s...
     
  4. Jun 14, 2008 #3

    Gec

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    to yuanyuan5220, thanks for your message.
    Really, Jordan-Wigner transformation in one-dimensional case reduces the XX model to free fermions model, wich is exactly solvable. In two dimensions it doesn't work. Can you explain to me what is "old archives in prl and prb at 1980s", please?
     
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