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Symmetry Indicators of Topological Bands- [electronic resource]
![Symmetry Indicators of Topological Bands - [electronic resource]](/Users/Baul/Images/book.png)
Symmetry Indicators of Topological Bands- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101637
- ISBN
- 9798380416702
- DDC
- 530
- 저자명
- Fang, Yuan.
- 서명/저자
- Symmetry Indicators of Topological Bands - [electronic resource]
- 발행사항
- [S.l.]: : State University of New York at Stony Brook., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(172 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-04, Section: B.
- 주기사항
- Advisor: Cano, Jennifer.
- 학위논문주기
- Thesis (Ph.D.)--State University of New York at Stony Brook, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약Symmetry indicators predict the topological phases of band structures from the band representations at high symmetry momenta. In previous literature, the symmetry indicators of stable topological insulators have been studied with the theory of topological quantum chemistry for all space groups. In this thesis, we aim to extend the topological quantum chemistry to produce symmetry indicators beyond those topological phases, including for bands with higher order topology and for bands in magnetic fields. First, the theory is extended to compute the centers of the Wannier functions. The Wannier centers are then used to determine the filling anomaly, which determines the corner states of higher order topology, as well as electronic polarization, quadrupole moment and higher multipole moments. Next, they are applied to classify the Dirac semimetals with higher order Fermi arcs. Our analysis shows that all linear Dirac points have higher order Fermi arcs terminating on their projections while quadratic Dirac points do not. This new classification answers the question, when do higher order Fermi arcs exist in Dirac semimetals? Then the theory is extended to systems in commensurate magnetic fields by introducing the magnetic symmetry operators, projective representations, and the additional gauge-invariant phases in the coset-decomposition. New symmetry indicators of Chern number in magnetic fields and new topological phases that only exist in magnetic fields are found using this approach. They are illustrated in a model in which a magnetic field drives a phase transition between an obstructed atomic limit and a trivial atomic limit. In the end, we apply the symmetry indicators to predict higher order topological insulators in a family of real materials called antiperovskites.
- 일반주제명
- Theoretical physics.
- 일반주제명
- Materials science.
- 일반주제명
- Physical chemistry.
- 일반주제명
- Quantum physics.
- 키워드
- Bands
- 키워드
- Dirac semimetals
- 키워드
- Antiperovskites
- 기타저자
- State University of New York at Stony Brook Physics
- 기본자료저록
- Dissertations Abstracts International. 85-04B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214101637
■006m o d
■007cr#unu||||||||
■020 ▼a9798380416702
■035 ▼a(MiAaPQ)AAI30631816
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aFang, Yuan.
■24510▼aSymmetry Indicators of Topological Bands▼h[electronic resource]
■260 ▼a[S.l.]:▼bState University of New York at Stony Brook. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(172 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-04, Section: B.
■500 ▼aAdvisor: Cano, Jennifer.
■5021 ▼aThesis (Ph.D.)--State University of New York at Stony Brook, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aSymmetry indicators predict the topological phases of band structures from the band representations at high symmetry momenta. In previous literature, the symmetry indicators of stable topological insulators have been studied with the theory of topological quantum chemistry for all space groups. In this thesis, we aim to extend the topological quantum chemistry to produce symmetry indicators beyond those topological phases, including for bands with higher order topology and for bands in magnetic fields. First, the theory is extended to compute the centers of the Wannier functions. The Wannier centers are then used to determine the filling anomaly, which determines the corner states of higher order topology, as well as electronic polarization, quadrupole moment and higher multipole moments. Next, they are applied to classify the Dirac semimetals with higher order Fermi arcs. Our analysis shows that all linear Dirac points have higher order Fermi arcs terminating on their projections while quadratic Dirac points do not. This new classification answers the question, when do higher order Fermi arcs exist in Dirac semimetals? Then the theory is extended to systems in commensurate magnetic fields by introducing the magnetic symmetry operators, projective representations, and the additional gauge-invariant phases in the coset-decomposition. New symmetry indicators of Chern number in magnetic fields and new topological phases that only exist in magnetic fields are found using this approach. They are illustrated in a model in which a magnetic field drives a phase transition between an obstructed atomic limit and a trivial atomic limit. In the end, we apply the symmetry indicators to predict higher order topological insulators in a family of real materials called antiperovskites.
■590 ▼aSchool code: 0771.
■650 4▼aCondensed matter physics.
■650 4▼aTheoretical physics.
■650 4▼aMaterials science.
■650 4▼aPhysical chemistry.
■650 4▼aQuantum physics.
■653 ▼aSymmetry indicators
■653 ▼aBands
■653 ▼aTopological insulators
■653 ▼aTopological quantum chemistry
■653 ▼aDirac semimetals
■653 ▼aAntiperovskites
■690 ▼a0611
■690 ▼a0753
■690 ▼a0599
■690 ▼a0794
■690 ▼a0494
■71020▼aState University of New York at Stony Brook▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g85-04B.
■773 ▼tDissertation Abstract International
■790 ▼a0771
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16934638▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
