Details

Autor(en) / Beteiligte

• Kundu, Anirban
• Bin Siu, Zhuo
• Jalil, Mansoor B A

Titel

Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction in Weyl semimetals with tilted energy dispersion

Ist Teil von

• New journal of physics, 2023-01, Vol.25 (1), p.13037

Ort / Verlag

Bristol: IOP Publishing

Erscheinungsjahr

2023

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• Abstract The Ruderman–Kittel–Kasuya–Yosida (RKKY) interaction is an essential long-range magnetic interaction between magnetic impurities or magnetic layered structures, the magnitude of which oscillates with the distance R between them. We investigated the RKKY interaction between two magnetic impurities in both time-reversal and inversion symmetry-broken Weyl semimetals (WSMs) where the energy dispersion is tilted in momentum space and the momentum of the conduction electrons is locked with the pseudo-spin. Two important features are revealed: firstly, at the small tilt limit, the RKKY coupling varies quadratically with the tilt parameter and strikingly, at large separation distances R , decays as 1 / R compared to the conventional 1 / R 3 dependence exhibited by WSMs with non-tilted dispersion. The slower decay by two orders (i.e. 1 / R as opposed to 1 / R 3 ) of the RKKY coupling is significant for maintaining a long-range RKKY coupling. Secondly, the RKKY coupling exhibits an anisotropy with respect to the angle between the tilt direction ( w ) and the separation direction R , unlike the case of non-tilted WSMs, which exhibits isotropic RKKY coupling. Consequently, the RKKY coupling in tilted WSMs alternately favors ferromagnetic and anti-ferromagnetic orders and vice-versa with the change of the angle. Our results are derived analytically and verified by numerical calculations based on realistic parameter values.