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More Infinite Randomness
More Infinite Randomness
More Infinite Randomness

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자료유형  
 학위논문 서양
최종처리일시  
20260202105619
ISBN  
9798265428455
DDC  
000
저자명  
Pandey, Akshat.
서명/저자  
More Infinite Randomness
발행사항  
[Sl] : Stanford University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
109 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
주기사항  
Advisor: Kivelson, Steven.
학위논문주기  
Thesis (Ph.D.)--Stanford University, 2025.
초록/해제  
요약Quenched randomness, which is a generic feature of systems in the solid state, is not simply a real-world annoyance to be ignored whenever possible. It gives rise to its own interesting emergent behaviors, and plays an important role in enriching the conceptual framework of statistical mechanics, both classical and quantum, most notably in the theory of critical phenomena. Of particular interest in this regard are renormalization group flows in which probability distributions of couplings and observables broaden without bound, leading to infinite-randomness fixed points. This thesis presents a detailed study of infinite-randomness criticality in three distinct settings: the (2+1)d random transverse-field Ising model at its quantum critical point, the 2d classical random-bond Ising model at a low-temperature frustration-driven transition out of the ferromagnet, and the (1+1)d Baxter-Fendley free parafermionic chain. In each case, new theoretical techniques are developed, and these either expose new organizing structure in known infinite-randomness critical theories, or establish novel universality classes governed by infinite-randomness fixed points.
일반주제명  
Statistical mechanics
일반주제명  
Quantum physics
일반주제명  
Eigenvalues
일반주제명  
Semiconductors
일반주제명  
Critical phenomena
일반주제명  
Geometry
기타저자  
Stanford University.
기본자료저록  
Dissertations Abstracts International. 87-05B.
전자적 위치 및 접속  
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■035    ▼a(MiAaPQ)AAI32316489
■035    ▼a(MiAaPQ)Stanfordwv564xh7121
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a000
■1001  ▼aPandey,  Akshat.
■24510▼aMore  Infinite  Randomness
■260    ▼a[Sl]▼bStanford  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a109  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-05,  Section:  B.
■500    ▼aAdvisor:  Kivelson,  Steven.
■5021  ▼aThesis  (Ph.D.)--Stanford  University,  2025.
■520    ▼aQuenched  randomness,  which  is  a  generic  feature  of  systems  in  the  solid  state,  is  not  simply  a  real-world  annoyance  to  be  ignored  whenever  possible.  It  gives  rise  to  its  own  interesting  emergent  behaviors,  and  plays  an  important  role  in  enriching  the  conceptual  framework  of  statistical  mechanics,  both  classical  and  quantum,  most  notably  in  the  theory  of  critical  phenomena.  Of  particular  interest  in  this  regard  are  renormalization  group  flows  in  which  probability  distributions  of  couplings  and  observables  broaden  without  bound,  leading  to  infinite-randomness  fixed  points.  This  thesis  presents  a  detailed  study  of  infinite-randomness  criticality  in  three  distinct  settings:  the  (2+1)d  random  transverse-field  Ising  model  at  its  quantum  critical  point,  the  2d  classical  random-bond  Ising  model  at  a  low-temperature  frustration-driven  transition  out  of  the  ferromagnet,  and  the  (1+1)d  Baxter-Fendley  free  parafermionic  chain.  In  each  case,  new  theoretical  techniques  are  developed,  and  these  either  expose  new  organizing  structure  in  known  infinite-randomness  critical  theories,  or  establish  novel  universality  classes  governed  by  infinite-randomness  fixed  points.
■590    ▼aSchool  code:  0212.
■650  4▼aStatistical  mechanics
■650  4▼aQuantum  physics
■650  4▼aEigenvalues
■650  4▼aSemiconductors
■650  4▼aCritical  phenomena
■650  4▼aGeometry
■690    ▼a0599
■71020▼aStanford  University.
■7730  ▼tDissertations  Abstracts  International▼g87-05B.
■790    ▼a0212
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360785▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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