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Anisotropic RKKY interaction in semi-Dirac semimetals | | Hou-Jian Duan
; Yan-Yan Yang
; Shi-Han Zheng
; Chang-Yong Zhu
; Ming-Xun Deng
; Ruiqiang Wang
; Mou Yang
; | | Date: |
2 Sep 2020 | | Abstract: | In $d$-dimensional systems with purely linear dispersion, the
Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction typically follows an isotropic
decaying law $J_{iso}propto {
m sin}left(2k_FR
ight)/R^d$ ($1/R^{d+zeta}$)
in doped (undoped) case, where $|omega|^{zeta}$ denotes the density of states
(DOS). However, this law is not valid in semi-Dirac semimetal (S-DSM), which is
noted for its anisotropic dispersion, i.e., linear in certain axes but
parabolic in the orthogonal axes. By exploring the magnetic interaction in
$2$-dimensional (2D) S-DSM and two types of 3D S-DSMs, new laws are derived for
the direction-dependent RKKY interaction. Compared to $J_{iso}$, the
interaction here decays much more slowly with the impurity distance $R$ as
impurities are deposited on the relativistic axis, while a faster decaying law
is exhibited with impurities deposited on the non-relativistic axis. The former
is induced by the prolonged decaying rate of the carrier propagator and the
modified DOS with smaller power $zeta$, while the latter is caused by the
modification to the energy of the carrier propagator. The both are attributed
to the anisotropy of the semi-Dirac dispersion. We have further discussed the
case with spin-momentum locking. Some phenomena (not exist in DSMs) are
highlighted, including the strong magnetic anisotropy with $XYZ$ spin model,
and the creation (annihilation) of Dzyaloshinskii-Moriya (DM) terms with
impurities deposited on the relativistic (non-relativistic) axis. Our work
provides an alternative option to identify the anisotropic nature of semi-Dirac
dispersion by measuring the RKKY interaction. | | Source: | arXiv, 2009.00775 | | Services: | Forum | Review | PDF | Favorites | |
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