RKKY interaction in Weyl semimetal nanowires
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914089570140160 |
|---|---|
| author | Mukherjee, Rohit Dubey, Asutosh |
| author_facet | Mukherjee, Rohit Dubey, Asutosh |
| contents | We investigate the effective couplings induced between localized impurities on the surface of a Weyl semimetal (WSM) nanowire within the framework of Ruderman--Kittel--Kasuya--Yosida (RKKY) theory. The itinerant electrons from the chiral Fermi arc surface states mediate impurity-impurity interaction at low energies. As a result, the spin-momentum locking naturally plays a central role in shaping the spin-spin correlations. We show that the dominant interaction channels have distinct origins: while the azimuthal coupling, $J_{ϕϕ}$ term arises exclusively from Fermi arc states with identical spin polarization, the couplings $J_{μν}$ ($μ,ν= z,r$) are governed by Fermi arc states with opposite spin polarizations. Furthermore, we demonstrate that purely surface-mediated contributions exhibit different scaling behavior compared to those involving Fermi arcs and low-energy bulk states. We systematically untangle the contributions from bulk and surface states to the RKKY couplings, using analytical and numerical methods. Our results establish WSM nanowires as a versatile platform for engineering and simulating a broad class of spin models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10589 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | RKKY interaction in Weyl semimetal nanowires Mukherjee, Rohit Dubey, Asutosh Mesoscale and Nanoscale Physics We investigate the effective couplings induced between localized impurities on the surface of a Weyl semimetal (WSM) nanowire within the framework of Ruderman--Kittel--Kasuya--Yosida (RKKY) theory. The itinerant electrons from the chiral Fermi arc surface states mediate impurity-impurity interaction at low energies. As a result, the spin-momentum locking naturally plays a central role in shaping the spin-spin correlations. We show that the dominant interaction channels have distinct origins: while the azimuthal coupling, $J_{ϕϕ}$ term arises exclusively from Fermi arc states with identical spin polarization, the couplings $J_{μν}$ ($μ,ν= z,r$) are governed by Fermi arc states with opposite spin polarizations. Furthermore, we demonstrate that purely surface-mediated contributions exhibit different scaling behavior compared to those involving Fermi arcs and low-energy bulk states. We systematically untangle the contributions from bulk and surface states to the RKKY couplings, using analytical and numerical methods. Our results establish WSM nanowires as a versatile platform for engineering and simulating a broad class of spin models. |
| title | RKKY interaction in Weyl semimetal nanowires |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2510.10589 |