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Quantum Criticality and Superconductivity in Systems Without Quasiparticles
Quantum Criticality and Superconductivity in Systems Without Quasiparticles
Quantum Criticality and Superconductivity in Systems Without Quasiparticles

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211151437
ISBN  
9798382777344
DDC  
530
저자명  
Li, Chenyuan.
서명/저자  
Quantum Criticality and Superconductivity in Systems Without Quasiparticles
발행사항  
[Sl] : Harvard University, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
213 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
주기사항  
Advisor: Sachdev, Subir.
학위논문주기  
Thesis (Ph.D.)--Harvard University, 2024.
초록/해제  
요약The discovery of high-temperature superconductors has raises questions that extend beyond the scope of quasiparticles, a foundational concept in condensed matter theory. This dissertation explores new theoretical approaches to quantum matter without quasiparticle excitations, with a particular focus on quantum criticality and the associated superconductivity in correlated electron compounds.The soluble Sachdev-Ye-Kitaev (SYK) model has recently emerged as a fascinating platform to address the unusual metallic states with T-linear resistivity. We first consider different variants of random Hubbard models, which share many similarities to key aspects of the original SYK model. Using a large M analysis and a renormalization group method, we propose the existence of quantum critical points with fractionalized excitations separating two distinct phases, which provides insights into the quantum phase transitions and non-Fermi liquid behaviors observed in cuprate superconductors.In the second part of this dissertation, we examine the interplay between non-Fermi liquids and superconductivity with two different pairing mechanisms. Under the framework of random Hubbard model, we demonstrate that superconductivity emerging from non-Fermi liquids strongly deviates from the BCS theory by tuning the relative strength of hopping and exchange interactions. Furthermore, we investigate a two-dimensional Yukawa-SYK model with spatially randomn interactions coupling a Fermi surface to a scalar field associated with a quantum phase transition. Our theory agrees well with transport properties analysed in cuprates, such as a T-linear resistivity and Planckian dissipation.
일반주제명  
Physics
일반주제명  
Condensed matter physics
일반주제명  
Quantum physics
키워드  
Condensed matter theory
키워드  
Superconductors
키워드  
Quasiparticles
키워드  
Hubbard model
키워드  
Quantum phase transition
기타저자  
Harvard University Physics
기본자료저록  
Dissertations Abstracts International. 85-12B.
전자적 위치 및 접속  
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■020    ▼a9798382777344
■035    ▼a(MiAaPQ)AAI31295767
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530
■1001  ▼aLi,  Chenyuan.▼0(orcid)0000-0001-8566-1462
■24510▼aQuantum  Criticality  and  Superconductivity  in  Systems  Without  Quasiparticles
■260    ▼a[Sl]▼bHarvard  University▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a213  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-12,  Section:  B.
■500    ▼aAdvisor:  Sachdev,  Subir.
■5021  ▼aThesis  (Ph.D.)--Harvard  University,  2024.
■520    ▼aThe  discovery  of  high-temperature  superconductors  has  raises  questions  that  extend  beyond  the  scope  of  quasiparticles,  a  foundational  concept  in  condensed  matter  theory.  This  dissertation  explores  new  theoretical  approaches  to  quantum  matter  without  quasiparticle  excitations,  with  a  particular  focus  on  quantum  criticality  and  the  associated  superconductivity  in  correlated  electron  compounds.The  soluble  Sachdev-Ye-Kitaev  (SYK)  model  has  recently  emerged  as  a  fascinating  platform  to  address  the  unusual  metallic  states  with  T-linear  resistivity.  We  first  consider  different  variants  of  random  Hubbard  models,  which  share  many  similarities  to  key  aspects  of  the  original  SYK  model.  Using  a  large  M  analysis  and  a  renormalization  group  method,  we  propose  the  existence  of  quantum  critical  points  with  fractionalized  excitations  separating  two  distinct  phases,  which  provides  insights  into  the  quantum  phase  transitions  and  non-Fermi  liquid  behaviors  observed  in  cuprate  superconductors.In  the  second  part  of  this  dissertation,  we  examine  the  interplay  between  non-Fermi  liquids  and  superconductivity  with  two  different  pairing  mechanisms.  Under  the  framework  of  random  Hubbard  model,  we  demonstrate  that  superconductivity  emerging  from  non-Fermi  liquids  strongly  deviates  from  the  BCS  theory  by  tuning  the  relative  strength  of  hopping  and  exchange  interactions.  Furthermore,  we  investigate  a  two-dimensional  Yukawa-SYK  model  with  spatially  randomn  interactions  coupling  a  Fermi  surface  to  a  scalar  field  associated  with  a  quantum  phase  transition.  Our  theory  agrees  well  with  transport  properties  analysed  in  cuprates,  such  as  a  T-linear  resistivity  and  Planckian  dissipation.
■590    ▼aSchool  code:  0084.
■650  4▼aPhysics
■650  4▼aCondensed  matter  physics
■650  4▼aQuantum  physics
■653    ▼aCondensed  matter  theory
■653    ▼aSuperconductors
■653    ▼aQuasiparticles
■653    ▼aHubbard  model
■653    ▼aQuantum  phase  transition
■690    ▼a0605
■690    ▼a0599
■690    ▼a0611
■71020▼aHarvard  University▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g85-12B.
■790    ▼a0084
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161732▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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