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Gauge Theories of Spin Systems
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Gauge Theories of Spin Systems. |
| 개인저자 | Fu, Jianlong. |
| 단체저자명 | University of Minnesota. Physics. |
| 발행사항 | [S.l.]: University of Minnesota., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 146 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-02B. Dissertation Abstract International |
| ISBN | 9781085635349 |
| 학위논문주기 | Thesis (Ph.D.)--University of Minnesota, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-02, Section: B.
Advisor: Perkins, Natalia B. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | In this dissertation, I discuss the gauge theory description of interacting spin systems, which results from the application of slave-particle approach. In particular, I discuss three types of gauge theory description. Starting from the Abrikosov fermion representation of spin, I review the effective SU(2) gauge theory of the Heisenberg model on the mean-field level. I then move on to study another types of spin representation, the Majorana fermion representation. After a discussion on the relationship between the three types of Majorana representation, namely the SO(3) Majorana representation, the SO(4) chiral representation and the Kitaev representation, I focus on the SO(3) Majorana representation and show that its non-local nature makes it equivalent to the Jordan-Wigner transformation of spin in both one-dimensional and two-dimensional space. To apply the SO(3) Majorana representation, I discuss three two-dimensional spin models, namely the Kitaev honeycomb model, the quantum XY model on honeycomb lattice and the 90째 compass model on square lattice. Using the SO(3) Majorana representation, I demonstrate how to map the spin Hamiltonians into Z2 lattice gauge theories with standard Gauss-law constraint. The mapping differs from the mean-field approach in that the resulting gauge theories are exact. In the third part of the dissertation, I discuss the application of non-local spin representations to some specific spin models. In particular, I review the effective U(1) lattice gauge theory for the spin ice model on pyrochlore lattice and discuss the potential application of staggered Abrikosov fermion representation in spin ice model and kagome antiferromagnetic model. |
| 일반주제명 | Physics. Condensed matter physics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
