1998/05/08 by Masanori Yamanaka, Yamanaka, Masanori, Tohru Koma +1
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9805098
Proc. of ISPMM'98, 23-26 August 1998 (Sendai, JAPAN); 6 pages, RevTeX, 2 PostScript figures; replaced with minor changes
arxiv created 1998/08/18 · arxiv updated 2009/11/30
We study the scattering of an electron by a ferromagnetic domain wall of the quantum Heisenberg-Ising model (XXZ model) with certain boundary conditions. The spin of the electron interacts with the spins of the XXZ model by the Hund coupling. Using the exact domain wall ground states of the XXZ model, we analytically obtain the exact effective Schrödinger equation for conduction electrons. This equation coincides with a conventional phenomenological Schrödinger equation which was derived in a classical treatment of spins of a domain wall. By solving the Schrödinger equation numerically, we have calculated the transmission coefficient which is a function of the Hund coupling and of the anisotropy of the XXZ model. It turns out that the transmission coefficient is vanishing in the low energy limit for the electron.