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Interplay of Symmetry Breaking and Topological Order- [electronic resource]
![Interplay of Symmetry Breaking and Topological Order - [electronic resource]](/Users/Baul/Images/book.png)
Interplay of Symmetry Breaking and Topological Order- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101646
- ISBN
- 9798380366663
- DDC
- 530
- 저자명
- Wang, Yanqi.
- 서명/저자
- Interplay of Symmetry Breaking and Topological Order - [electronic resource]
- 발행사항
- [S.l.]: : University of California, Berkeley., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(190 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-03, Section: B.
- 주기사항
- Advisor: Moore, Joel E.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약The two most prevalent classes of ordered states in quantum materials are those arising from spontaneous symmetry breaking (SSB) and from topological order. However, a systematic study for their coexistence in interacting systems is still lacking. In this thesis, we will investigate how the topological configuration in order parameter spaces from SSB interplays with the symmetry protected/enriched topological orders in two spatial dimensions. We start from a phenomenological model of the domain wall structure in chiral spin liquids with domains of opposite chiralities. Based on a standard model, we obtain a spatially varying, self-consistent mean-field solution for the spinons that describes both the gapless edge modes and the change of chirality at the domain wall. We derive the non-universal properties, such as the velocity of the topologically protected domain wall edge states and its modification to domain wall tension. Then we discuss the interplay between topological orders from a more formal point of view. We consider two-dimensional topologically ordered systems with coexisting long-range orders, where the only gapless excitations in the spectrum are Goldstone modes of spontaneously broken continuous symmetries. We show that the universal properties of point defects and textures are determined by the remnant symmetry enriched topological order in the symmetry-breaking ground state with non-fluctuating order parameters, and provide a classification for their properties using algebraic topology. We further investigate the quantum dynamics that can happen at the domain wall of topological orders, where particle-hole scattering leads to linear-in-temperature resistivity of edge modes. Finally, we introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators.
- 일반주제명
- Physics.
- 일반주제명
- Quantum physics.
- 키워드
- Edge network
- 키워드
- Quantum dynamics
- 기타저자
- University of California, Berkeley Physics
- 기본자료저록
- Dissertations Abstracts International. 85-03B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214101646
■006m o d
■007cr#unu||||||||
■020 ▼a9798380366663
■035 ▼a(MiAaPQ)AAI30633722
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aWang, Yanqi.
■24510▼aInterplay of Symmetry Breaking and Topological Order▼h[electronic resource]
■260 ▼a[S.l.]:▼bUniversity of California, Berkeley. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(190 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-03, Section: B.
■500 ▼aAdvisor: Moore, Joel E.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aThe two most prevalent classes of ordered states in quantum materials are those arising from spontaneous symmetry breaking (SSB) and from topological order. However, a systematic study for their coexistence in interacting systems is still lacking. In this thesis, we will investigate how the topological configuration in order parameter spaces from SSB interplays with the symmetry protected/enriched topological orders in two spatial dimensions. We start from a phenomenological model of the domain wall structure in chiral spin liquids with domains of opposite chiralities. Based on a standard model, we obtain a spatially varying, self-consistent mean-field solution for the spinons that describes both the gapless edge modes and the change of chirality at the domain wall. We derive the non-universal properties, such as the velocity of the topologically protected domain wall edge states and its modification to domain wall tension. Then we discuss the interplay between topological orders from a more formal point of view. We consider two-dimensional topologically ordered systems with coexisting long-range orders, where the only gapless excitations in the spectrum are Goldstone modes of spontaneously broken continuous symmetries. We show that the universal properties of point defects and textures are determined by the remnant symmetry enriched topological order in the symmetry-breaking ground state with non-fluctuating order parameters, and provide a classification for their properties using algebraic topology. We further investigate the quantum dynamics that can happen at the domain wall of topological orders, where particle-hole scattering leads to linear-in-temperature resistivity of edge modes. Finally, we introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators.
■590 ▼aSchool code: 0028.
■650 4▼aPhysics.
■650 4▼aCondensed matter physics.
■650 4▼aQuantum physics.
■653 ▼aAlgebraic topology
■653 ▼aEdge network
■653 ▼aQuantum dynamics
■653 ▼aSymmetry breaking
■653 ▼aTopological phases of matter
■690 ▼a0605
■690 ▼a0611
■690 ▼a0599
■71020▼aUniversity of California, Berkeley▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-03B.
■773 ▼tDissertation Abstract International
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16934728▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
