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Fermionic description of spin-gap states of antiferromagnetic Heisenberg ladders in a magnetic field

Hiromitsu Hori, Shoji Yamamoto

cond-mat.str-elarXiv:cond-mat/0206554

Abstract

Employing the Jordan-Wigner transformation on a unique path and then making a mean-field treatment of the fermionic Hamiltonian, we semiquantitatively describe the spin-gap states of Heisenberg ladders in a field. The appearance of magnetization plateaux is clarified as a function of the number of legs.

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