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Visualizing Topology and Correlation in Quantum Materials: A View From Lattice Geometry
Visualizing Topology and Correlation in Quantum Materials: A View From Lattice Geometry
Visualizing Topology and Correlation in Quantum Materials: A View From Lattice Geometry

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202104811
ISBN  
9798293894413
DDC  
530
저자명  
Jiang, Yuxiao.
서명/저자  
Visualizing Topology and Correlation in Quantum Materials: A View From Lattice Geometry
발행사항  
[Sl] : Princeton University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
148 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
주기사항  
Advisor: Hasan, M. Zahid.
학위논문주기  
Thesis (Ph.D.)--Princeton University, 2025.
초록/해제  
요약Quantum materials, systems in which quantum effects play a defining role in determining physical properties, are essential for both fundamental research and future technological applications. Topology and correlation represent two central themes in modern condensed matter physics. This thesis presents an experimental investigation of topological and correlated phases in a range of quantum materials, with a particular focus on the role of lattice geometry. We demonstrate that lattice geometry not only influences the emergent quantum phases but also provides a predictive and tunable platform for exploring the interplay between topology and correlation.The first part of this thesis focuses on materials with a kagome lattice structure, where geometric frustration and symmetry give rise to rich emergent behavior. Using STM, we reveal symmetry-breaking phases in KV3Sb5, FeGe, and ScV6Sn6, including charge density wave, magnetism, and rotational symmetry breaking. These phenomena arise from the unique kagome band structure, featuring flat bands, Dirac points, and van Hove singularities that promote electronic instability.We then explore how measurement geometry, particularly edge terminations and crystal step boundaries, allows STM to probe the bulk-boundary correspondence central to topological phases. In α-arsenic, STM measurements on specific edge configurations reveal a hybrid topological state featuring both first- and higher-order topological characteristics. Finally, we study the quasi-one-dimensional compound Ta2Pd3Te5, where Coulomb attraction leads to an excitonic insulating phase. STM reveals topological edge modes that emerge within this correlated state, suggesting a realization of a topological excitonic insulator.Together, these studies highlight the power of STM in visualizing how lattice geometry governs topological and correlated phenomena. By resolving spatial symmetry, edge structure, and electronic texture at the atomic scale, this work provides new insight into the mechanisms behind quantum order and offers a framework for discovering and designing functional quantum materials.
일반주제명  
Condensed matter physics
일반주제명  
Materials science
일반주제명  
Quantum physics
키워드  
Quantum materials
키워드  
Topology
키워드  
Lattice geometry
키워드  
Correlation
기타저자  
Princeton University Chemistry
기본자료저록  
Dissertations Abstracts International. 87-04B.
전자적 위치 및 접속  
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MARC

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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530
■1001  ▼aJiang,  Yuxiao.
■24510▼aVisualizing  Topology  and  Correlation  in  Quantum  Materials:  A  View  From  Lattice  Geometry
■260    ▼a[Sl]▼bPrinceton  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a148  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-04,  Section:  B.
■500    ▼aAdvisor:  Hasan,  M.  Zahid.
■5021  ▼aThesis  (Ph.D.)--Princeton  University,  2025.
■520    ▼aQuantum  materials,  systems  in  which  quantum  effects  play  a  defining  role  in  determining  physical  properties,  are  essential  for  both  fundamental  research  and  future  technological  applications.  Topology  and  correlation  represent  two  central  themes  in  modern  condensed  matter  physics.  This  thesis  presents  an  experimental  investigation  of  topological  and  correlated  phases  in  a  range  of  quantum  materials,  with  a  particular  focus  on  the  role  of  lattice  geometry.  We  demonstrate  that  lattice  geometry  not  only  influences  the  emergent  quantum  phases  but  also  provides  a  predictive  and  tunable  platform  for  exploring  the  interplay  between  topology  and  correlation.The  first  part  of  this  thesis  focuses  on  materials  with  a  kagome  lattice  structure,  where  geometric  frustration  and  symmetry  give  rise  to  rich  emergent  behavior.  Using  STM,  we  reveal  symmetry-breaking  phases  in  KV3Sb5,  FeGe,  and  ScV6Sn6,  including  charge  density  wave,  magnetism,  and  rotational  symmetry  breaking.  These  phenomena  arise  from  the  unique  kagome  band  structure,  featuring  flat  bands,  Dirac  points,  and  van  Hove  singularities  that  promote  electronic  instability.We  then  explore  how  measurement  geometry,  particularly  edge  terminations  and  crystal  step  boundaries,  allows  STM  to  probe  the  bulk-boundary  correspondence  central  to  topological  phases.  In  α-arsenic,  STM  measurements  on  specific  edge  configurations  reveal  a  hybrid  topological  state  featuring  both  first-  and  higher-order  topological  characteristics.  Finally,  we  study  the  quasi-one-dimensional  compound  Ta2Pd3Te5,  where  Coulomb  attraction  leads  to  an  excitonic  insulating  phase.  STM  reveals  topological  edge  modes  that  emerge  within  this  correlated  state,  suggesting  a  realization  of  a  topological  excitonic  insulator.Together,  these  studies  highlight  the  power  of  STM  in  visualizing  how  lattice  geometry  governs  topological  and  correlated  phenomena.  By  resolving  spatial  symmetry,  edge  structure,  and  electronic  texture  at  the  atomic  scale,  this  work  provides  new  insight  into  the  mechanisms  behind  quantum  order  and  offers  a  framework  for  discovering  and  designing  functional  quantum  materials.
■590    ▼aSchool  code:  0181.
■650  4▼aCondensed  matter  physics
■650  4▼aMaterials  science
■650  4▼aQuantum  physics
■653    ▼aQuantum  materials
■653    ▼aTopology
■653    ▼aLattice  geometry
■653    ▼aCorrelation
■690    ▼a0611
■690    ▼a0599
■690    ▼a0794
■71020▼aPrinceton  University▼bChemistry.
■7730  ▼tDissertations  Abstracts  International▼g87-04B.
■790    ▼a0181
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358932▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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