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Dimensional Reduction and Electromagnetic Responses of Topological Insulating Phases
Dimensional Reduction and Electromagnetic Responses of Topological Insulating Phases
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152704
- ISBN
- 9798384016113
- DDC
- 530
- 저자명
- Wang, Yuxin.
- 서명/저자
- Dimensional Reduction and Electromagnetic Responses of Topological Insulating Phases
- 발행사항
- [Sl] : Northwestern University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 112 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-02, Section: B.
- 주기사항
- Advisor: Goswami, Pallab.
- 학위논문주기
- Thesis (Ph.D.)--Northwestern University, 2024.
- 초록/해제
- 요약Topological insulating phases are novel quantum matter which cannot be smoothly deformed to trivial atomic insulators. Effective field theories for topological phases can be constructed based on their real-space responses to the external U(1) gauge fields. Topological invariants, labeling different topological phases and phase transitions, are mutually related in different spatial dimensions, forming a dimensional hierarchy. In this dissertation, we utilize two kinds of singular real-space probes to detect the topological invariants. Specifically, the magnetic Dirac monopole for 3D topological phases, and flux tube in pseudo-spin channel for 2D topological phases. Both types of responses are classified under the integer class Z. Moreover, two kinds of probes can be generalized to reveal the secret of dimensional reduction for topological invariants, from 4D to 3D, and from 3D to 2D. We build a scheme of dimensional reduction, where multiple different topological phases in 2D and 3D can be traced back to their parent states in the WignerDyson classes in 4D, classified by Z from the second Chern class. We use the 4D quantum Hall state, 4D topological crystalline insulator, and 4D magnetic topological insulator, as the examples of the parent states in class AII, AI, and A. We also discuss the dimensional reduction between the Chern classes in adjacent even spatial dimensions. Lastly, we introduce another class of topological insulators - the Hopf insulators, which stay beyond this dimensional reduction scheme.
- 일반주제명
- Physics
- 일반주제명
- Condensed matter physics
- 일반주제명
- Theoretical physics
- 일반주제명
- Quantum physics
- 키워드
- Gauge theory
- 기타저자
- Northwestern University Physics and Astronomy
- 기본자료저록
- Dissertations Abstracts International. 86-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152704
■006m o d
■007cr#unu||||||||
■020 ▼a9798384016113
■035 ▼a(MiAaPQ)AAI31488212
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aWang, Yuxin.
■24510▼aDimensional Reduction and Electromagnetic Responses of Topological Insulating Phases
■260 ▼a[Sl]▼bNorthwestern University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a112 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-02, Section: B.
■500 ▼aAdvisor: Goswami, Pallab.
■5021 ▼aThesis (Ph.D.)--Northwestern University, 2024.
■520 ▼aTopological insulating phases are novel quantum matter which cannot be smoothly deformed to trivial atomic insulators. Effective field theories for topological phases can be constructed based on their real-space responses to the external U(1) gauge fields. Topological invariants, labeling different topological phases and phase transitions, are mutually related in different spatial dimensions, forming a dimensional hierarchy. In this dissertation, we utilize two kinds of singular real-space probes to detect the topological invariants. Specifically, the magnetic Dirac monopole for 3D topological phases, and flux tube in pseudo-spin channel for 2D topological phases. Both types of responses are classified under the integer class Z. Moreover, two kinds of probes can be generalized to reveal the secret of dimensional reduction for topological invariants, from 4D to 3D, and from 3D to 2D. We build a scheme of dimensional reduction, where multiple different topological phases in 2D and 3D can be traced back to their parent states in the WignerDyson classes in 4D, classified by Z from the second Chern class. We use the 4D quantum Hall state, 4D topological crystalline insulator, and 4D magnetic topological insulator, as the examples of the parent states in class AII, AI, and A. We also discuss the dimensional reduction between the Chern classes in adjacent even spatial dimensions. Lastly, we introduce another class of topological insulators - the Hopf insulators, which stay beyond this dimensional reduction scheme.
■590 ▼aSchool code: 0163.
■650 4▼aPhysics
■650 4▼aCondensed matter physics
■650 4▼aTheoretical physics
■650 4▼aQuantum physics
■653 ▼aElectromagnetic field
■653 ▼aGauge theory
■653 ▼aQuantum field theory
■653 ▼aTopological insulators
■653 ▼aDimensional reduction
■690 ▼a0605
■690 ▼a0611
■690 ▼a0753
■690 ▼a0599
■71020▼aNorthwestern University▼bPhysics and Astronomy.
■7730 ▼tDissertations Abstracts International▼g86-02B.
■790 ▼a0163
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17163410▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
