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## Main Question or Discussion Point

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.

- Thread starter 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

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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...

- #3

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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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