Localized charge in various configurations of magnetic domain wall in Weyl semimetal

We numerically investigate the electronic properties of magnetic domain walls formed in a Weyl semimetal. Electric charge distribution is computed from the electron wave functions, by numerically diagonalizing the Hamiltonian under several types of domain walls. We find a certain amount of electric charge localized around the domain wall, depending on the texture of the domain wall. This localized charge stems from the degeneracy of Landau states under the axial magnetic field, which corresponds to the curl in the magnetic texture. The localized charge enables one to drive the domain wall motion by applying an external electric field without injecting an electric current, which is distinct from the ordinary spin-transfer torque and is free from Joule heating.Comment: 10 pages, 8 figure

Clifford type theorems for association schemes and their algebraic fusions

We investigate the relationship between complex characters of association schemes and their fusion schemes. We first prove Frobenius reciprocity between the irreducible representations of finite schemes and their fusion schemes, and add a formula on multiplicities. After that, we provide Clifford type theorems for association schemes and their algebraic fusions.ArticleJOURNAL OF ALGEBRA. 363:1-7 (2012)journal articl

Simplicity of p-blocks of modular adjacency algebras of association schemes

Available online 16 November 2016A criterion is given for blocks of modular adjacency algebras of association schemes to be simple. (C) 2016 Elsevier Inc. All rights reserved.ArticleJOURNAL OF ALGEBRA. 474:126-133 (2017)journal articl