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We give a mean field treatment of the incommensurate phase of the zigzag spin-1/2 Heisenberg chain containing both the nearest neighbour coupling J 1 and the next nearest neighbour antiferromagnetic coupling J 2 . By use of Jordan-Wigner transformation, the zigzag spin chain is mapped into an interacting spinless fermionic system with two pairs of Fermi points. The incommensurate ground...
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