Spin-helix-driven insulating phase in two-dimensional lattice

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Motivated by emergent SU(2) symmetry in the spin-orbit-coupled system, we study the spin-helix-driven insulating phase in a two-dimensional lattice. When both Rashba and Dresselhaus spin-orbit couplings are present, the perfect Fermi-surface nesting occurs at a special condition depending on the lattice geometry. In this case, the energies of spin up at any wave vector →k are equivalent to the ones of spin down at →k+→Q with the shifting wave vector →Q. Thus, the system stabilizes the magnetic insulator with spiral-like magnetic ordering even in the presence of tiny electron-electron interaction where the magnetic ordering wave vector is proportional to →Q. We first show the condition for the existence of the shifting wave vector in a general lattice model and emergent SU(2) symmetry in the spin-orbit-coupled system. Then, we exemplify this in a square lattice at half filling and discuss the insulating phase with (non)coplanar spin density wave and charge order. Our study emphasizes different possible types of two-dimensional magnetic materials that can be applicable to various van der Waals materials and their heterostructures with the control of electric field, strain, and pressure.
Publisher
AMER PHYSICAL SOC
Issue Date
2020-09
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW RESEARCH, v.2, no.3, pp.033487

ISSN
2643-1564
DOI
10.1103/PhysRevResearch.2.033487
URI
http://hdl.handle.net/10203/278135
Appears in Collection
PH-Journal Papers(저널논문)
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