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Hall Effect

Hall Effect. LL8 Section 22. Inverse formula. Resistivity tensor. Math arguments repeat. First term is ordinary Ohm’s law Second term gives Hall effect The axial vector b dual to b ik Linear in H for small H.

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Hall Effect

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  1. Hall Effect LL8 Section 22

  2. Inverse formula • Resistivity tensor

  3. Math arguments repeat • First term is ordinary Ohm’s law • Second term gives Hall effect • The axial vector b • dual to bik • Linear in H for small H

  4. Symmetry: All tensors that characterize an isotropic medium must be invariant under all rotations about H

  5. Likewise, symmetric parts of conductivity and resistivity tensors must be invariant under rotations about H

  6. Let j lie in the xz plane x

  7. Next terms in expansion of rikjk must be • quadratic in H, • linear in j, • And be a vector • Only possible combinations of H & J are

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