Wave Function of the Largest Skyrmion on a Sphere.

  • Yoshioka Daijiro
    Department of Basic Science, The University of Tokyo, 3–8–1 Komaba, Meguro–ku, Tokyo 153–8902

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  • Wave Function of the Largest Skyrmion o

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It has been clarified that charged excitation known as a skyrmion exists around the ferromagnetic ground state at the Landau level filling factor ν=1/q, where q is an odd integer.An infinite sized skyrmion is realized in the absence of the spin-Zeeman splitting or for double-layered systems.Analytical form of the wave function is identified at ν=1 and ν=1/3 through exact diagonalization of the Hamiltonian for finite sized spherical systems.It is clarified that the skyrmion wave functions at ν=1 and ν=1/3 are qualitatively different: they are not related by the composite fermion transformation.Long-range behavior of the skyrmion wave function around ν=1 is shown to be consistent with the semiclassical picture of the skyrmion.

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