An exact correspondence between Quantum Hall Skyrmions and non linear $σ$-models

Physics – Condensed Matter

Scientific paper

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reference added latex sigma.tex, 1 file, 5 pages [SPhT-T00/177], submitted to Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00738-9

We show that the ground states of spin-fermions interacting by a delta
repulsive potential in a strong magnetic field can be put in one to one
correspondence with the solitons of the $S_2$ non linear $\sigma$-model.

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