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Chiral Magnetism: A Geometric Perspective

2023.04.04 08:21

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날짜 2023-04-04 16:00 
일시 16:00 on Apr 4, 2023 
장소 Room 2501, KAIST Natural Sciences Lecture Hall(E6) 
연사 Dr. Daniel Mark Hill (University Of Missouri) 
University Of Missouri소속 Daniel Mark Hill 박사님을 모시고 'Chiral Magnetism: A Geometric Perspective' 주제에 대한 세미나를
개최합니다. 물리학과 구성원 여러분들의 많은 참여 부탁드립니다.
1) Time :  at 16:00 on Apr 4, 2023 
2) Venue :  Room 2501, KAIST Natural Sciences Lecture Hall(E6) (자연과학동 2501호)  
3) Speaker : Dr. Daniel Mark Hill (University Of Missouri) 
4) Talk Title : Chiral Magnetism: A Geometric Perspective 
 5) Abstract
     We recast the model of a chiral ferromagnet with the Dzyaloshinski-Moriya interaction as a Heisenberg model with nontrivial spin parallel transport [1]. Within this theoretical framework, the Dzyaloshinskii-Moriya vectors take the role of a background SO(3) gauge field. A combination of analytical and numerical arguments suggests that the ground state of this gauged Heisenberg model in 2 spatial dimensions is a hexagonal skyrmion crystal in a wide range of applied magnetic fields. We also illustrate the usefulness of this geometric perspective in the context of Hubbard models with spin orbit coupling by computing phase diagram symmtries of lattices with D3 symmetry [2]. The geometric perspective is not a new idea, being introduced as far back as 1978 by Dzyaloshinskii [3], but we find that it is highly underutilized in the literature and would often facilitate a better understanding of the physics if implemented.
[1] Daniel Hill, Valeriy Slastikov, Oleg Tchernyshyov, SciPost Phys. 10, 078 (2021)
[2] Daniel Hill, Justin Shotton, and Carsten A. Ullrich, Phys. Rev. B 107, 115134 (2023)
[3] Dzyaloshinskii and Volovik, J.Phys. (Paris) 39, 693 (1978)
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