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Searching for Flat Bands in Moire Graphene
Searching for Flat Bands in Moire Graphene
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103506
- ISBN
- 9798280746985
- DDC
- 530
- 서명/저자
- Searching for Flat Bands in Moire Graphene
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 200 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Lian, Biao.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약Non-trivial flat bands often give rise to strongly interacting physics in solid state systems. In recent years, the flat bands in twisted bilayer graphene (TBG) near the magic angle have attracted great attention both theoretically and experimentally because of their correlated insulator and unconventional superconducting states. In this dissertation, we describe novel moire graphene constructions that yield non-trivial flat bands of a different nature to those in TBG. In particular, we focus on the flat bands arising in one-orbital kagome and two-orbital honeycomb lattice tight-binding models due to wavefunction interference.After a brief introduction, we begin Ch. 2 by analyzing TBG near commensuration. We show that twisting bilayer graphene slightly away from any commensurate angle yields a moire material. Although the magic angles in these materials are likely too small for experimental realization, we additionally discover a parameter regime in the abstract model yielding many kagome and honeycomb lattice flat bands simultaneously. Since these results cannot be realized with TBG near commensuration, the focus of Ch. 3 is on physical moire constructions approximately realizing this parameter regime. The most experimentally feasible construction in Ch. 3 consists of placing graphene on a substrate material with a lattice constant chosen to couple the two graphene valleys. We show that this model may give rise to many interesting low energy band structures including those with kagome or honeycomb lattice flat bands. Additionally, if the substrate has spin-orbit coupling, the low energy bands may have high spin Chern numbers.Finally, in Ch. 4 we consider moire systems including graphene layers with extrinsically induced Kekule-O orders. This type of order can be induced by lithium intercalation or deposition, and in a single graphene layer it couples the valleys and opens a band gap. We show that a moire system consisting of a layer of normal graphene twisted relative to a layer of Kekule-O graphene can realize honeycomb lattice flat bands. Furthermore, we show that a moire system consisting of two layers of Kekule-O graphene with a relative twist can realize kagome lattice flat bands.
- 일반주제명
- Condensed matter physics
- 일반주제명
- Materials science
- 일반주제명
- Electromagnetics
- 일반주제명
- Quantum physics
- 키워드
- Flat band
- 키워드
- Graphene
- 키워드
- Honeycomb
- 키워드
- Kagome
- 키워드
- Moire
- 기타저자
- Princeton University Physics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103506
■006m o d
■007cr#unu||||||||
■020 ▼a9798280746985
■035 ▼a(MiAaPQ)AAI32002744
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aScheer, Michael G.▼0(orcid)0000-0003-0798-6135
■24510▼aSearching for Flat Bands in Moire Graphene
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a200 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Lian, Biao.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aNon-trivial flat bands often give rise to strongly interacting physics in solid state systems. In recent years, the flat bands in twisted bilayer graphene (TBG) near the magic angle have attracted great attention both theoretically and experimentally because of their correlated insulator and unconventional superconducting states. In this dissertation, we describe novel moire graphene constructions that yield non-trivial flat bands of a different nature to those in TBG. In particular, we focus on the flat bands arising in one-orbital kagome and two-orbital honeycomb lattice tight-binding models due to wavefunction interference.After a brief introduction, we begin Ch. 2 by analyzing TBG near commensuration. We show that twisting bilayer graphene slightly away from any commensurate angle yields a moire material. Although the magic angles in these materials are likely too small for experimental realization, we additionally discover a parameter regime in the abstract model yielding many kagome and honeycomb lattice flat bands simultaneously. Since these results cannot be realized with TBG near commensuration, the focus of Ch. 3 is on physical moire constructions approximately realizing this parameter regime. The most experimentally feasible construction in Ch. 3 consists of placing graphene on a substrate material with a lattice constant chosen to couple the two graphene valleys. We show that this model may give rise to many interesting low energy band structures including those with kagome or honeycomb lattice flat bands. Additionally, if the substrate has spin-orbit coupling, the low energy bands may have high spin Chern numbers.Finally, in Ch. 4 we consider moire systems including graphene layers with extrinsically induced Kekule-O orders. This type of order can be induced by lithium intercalation or deposition, and in a single graphene layer it couples the valleys and opens a band gap. We show that a moire system consisting of a layer of normal graphene twisted relative to a layer of Kekule-O graphene can realize honeycomb lattice flat bands. Furthermore, we show that a moire system consisting of two layers of Kekule-O graphene with a relative twist can realize kagome lattice flat bands.
■590 ▼aSchool code: 0181.
■650 4▼aCondensed matter physics
■650 4▼aMaterials science
■650 4▼aElectromagnetics
■650 4▼aQuantum physics
■653 ▼aFlat band
■653 ▼aGraphene
■653 ▼aHoneycomb
■653 ▼aKagome
■653 ▼aMoire
■690 ▼a0611
■690 ▼a0794
■690 ▼a0599
■690 ▼a0607
■71020▼aPrinceton University▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357400▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


