TY - JOUR
T1 - Magnetic susceptibility in three-dimensional nodal semimetals
AU - Koshino, Mikito
AU - Hizbullah, Intan Fatimah
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/1/4
Y1 - 2016/1/4
N2 - We study the magnetic susceptibility in various three-dimensional gapless systems, including Dirac and Weyl semimetals, and a line-node semimetal. The susceptibility is decomposed into the orbital term, the spin term and also the spin-orbit cross term, which is caused by the spin-orbit interaction. We show that the orbital susceptibility logarithmically diverges at the band touching energy in the point-node case, while it exhibits a stronger δ-function singularity in the line node case. The spin-orbit cross term is shown to be paramagnetic in the electron side while diamagnetic in the hole side, in contrast with other two terms which are both even functions in Fermi energy. The spin-orbit cross term in the nodal semimetal is found to be directly related to the chiral surface current induced by the topological surface modes.
AB - We study the magnetic susceptibility in various three-dimensional gapless systems, including Dirac and Weyl semimetals, and a line-node semimetal. The susceptibility is decomposed into the orbital term, the spin term and also the spin-orbit cross term, which is caused by the spin-orbit interaction. We show that the orbital susceptibility logarithmically diverges at the band touching energy in the point-node case, while it exhibits a stronger δ-function singularity in the line node case. The spin-orbit cross term is shown to be paramagnetic in the electron side while diamagnetic in the hole side, in contrast with other two terms which are both even functions in Fermi energy. The spin-orbit cross term in the nodal semimetal is found to be directly related to the chiral surface current induced by the topological surface modes.
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U2 - 10.1103/PhysRevB.93.045201
DO - 10.1103/PhysRevB.93.045201
M3 - Article
AN - SCOPUS:84955263718
VL - 93
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 4
M1 - 045201
ER -