New Fermionic Description of Quantum S = 1/2 Antiferromargnet

Abstract

A novel approach to S =1/2 antiferromagnets with strong fluctuations based on the representation of spin-1/2 operators as bylinear forms of real (Majorana) fermions is suggested. This representation has the advantage of being irreducible without any constraints on the fermionic Hilbert space. This property allows to derive an effective Hamiltonian for low-lying excitations in the spin liquid state. It is proven that these excitations are S = 1 real fermions.

4 pages

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