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Interactions and Disorder in Quantum Matter Without Quasiparticles
Interactions and Disorder in Quantum Matter Without Quasiparticles
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211153055
- ISBN
- 9798346390220
- DDC
- 621
- 저자명
- Nosov, Pavel.
- 서명/저자
- Interactions and Disorder in Quantum Matter Without Quasiparticles
- 발행사항
- [Sl] : Stanford University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 197 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
- 주기사항
- Advisor: Raghu, Srinivas.
- 학위논문주기
- Thesis (Ph.D.)--Stanford University, 2024.
- 초록/해제
- 요약The interplay of interactions and quenched disorder in conventional metals has been actively studied for decades. The paradigmatic approach to this problem relies on Landau's Fermi liquid theory, building upon a remarkable observation that the elementary excitations of a strongly interacting system of electrons can be described as weakly interacting fermionic quasiparticles. These quasiparticles share similar properties with non-interacting electrons, determining many familiar features of ordinary metals, such as their superconducting instabilities or quantum magneto-oscillations. Furthermore, when quasiparticles scatter o↵ impurities or defects - a situation ubiquitous in all solidstate materials - a plethora of fascinating phenomena emerges, including superconductor-insulator transitions and anomalous metallic states, many of which are currently under intense investigation. In contrast, the role of disorder in incoherent electron systems without well-defined quasiparticles, termed non-Fermi liquids due to their deviation from Landau's paradigm, remains largely unknown.This thesis explores various e↵ects of disorder and interactions in controlled models of nonFermi liquids emerging near quantum phase transitions. The main results can be summarized as follows: (i) It is shown that the normal state of a two-dimensional disordered non-Fermi liquid can exhibit various intriguing properties, such as subdi↵usion characterized by anomalous dynamical scaling, enhanced tunneling density of states, and unconventional low-temperature dependence of conductivity and specific heat. (ii) It is found that non-magnetic impurities strongly a↵ect the competition between pairing instability and fermionic incoherence in non-Fermi liquids. In particular, an intermediate range of disorder strength is identified where superconductivity is enhanced due to multifractality of the single-particle wave functions. (iii) It is demonstrated that the interplay between multifractality and quantum fluctuations in disordered two-dimensional superconductors can result in a non-trivial energy dependence of the gap function, strong mesoscopic fluctuations, and unconventional dynamics of collective modes. (iv) In addition, the e↵ects of multifractality are also investigated in the Anderson model on a disordered Cayley tree, and the full distribution of the Green's functions is obtained. (v) Finally, a new thermodynamically consistent theory of quantum magneto-oscillations in non-Fermi liquids is developed, yielding temperature dependence of the oscillation amplitudes distinct from the conventional Lifshitz-Kosevich formula.
- 일반주제명
- Energy
- 일반주제명
- Electrons
- 일반주제명
- Superconductivity
- 일반주제명
- Entropy
- 일반주제명
- Magnetic fields
- 일반주제명
- Atomic physics
- 일반주제명
- Electromagnetics
- 일반주제명
- Low temperature physics
- 기타저자
- Stanford University.
- 기본자료저록
- Dissertations Abstracts International. 86-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211153055
■006m o d
■007cr#unu||||||||
■020 ▼a9798346390220
■035 ▼a(MiAaPQ)AAI31643396
■035 ▼a(MiAaPQ)Stanfordwq104wt5437
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a621
■1001 ▼aNosov, Pavel.
■24510▼aInteractions and Disorder in Quantum Matter Without Quasiparticles
■260 ▼a[Sl]▼bStanford University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a197 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: B.
■500 ▼aAdvisor: Raghu, Srinivas.
■5021 ▼aThesis (Ph.D.)--Stanford University, 2024.
■520 ▼aThe interplay of interactions and quenched disorder in conventional metals has been actively studied for decades. The paradigmatic approach to this problem relies on Landau's Fermi liquid theory, building upon a remarkable observation that the elementary excitations of a strongly interacting system of electrons can be described as weakly interacting fermionic quasiparticles. These quasiparticles share similar properties with non-interacting electrons, determining many familiar features of ordinary metals, such as their superconducting instabilities or quantum magneto-oscillations. Furthermore, when quasiparticles scatter o↵ impurities or defects - a situation ubiquitous in all solidstate materials - a plethora of fascinating phenomena emerges, including superconductor-insulator transitions and anomalous metallic states, many of which are currently under intense investigation. In contrast, the role of disorder in incoherent electron systems without well-defined quasiparticles, termed non-Fermi liquids due to their deviation from Landau's paradigm, remains largely unknown.This thesis explores various e↵ects of disorder and interactions in controlled models of nonFermi liquids emerging near quantum phase transitions. The main results can be summarized as follows: (i) It is shown that the normal state of a two-dimensional disordered non-Fermi liquid can exhibit various intriguing properties, such as subdi↵usion characterized by anomalous dynamical scaling, enhanced tunneling density of states, and unconventional low-temperature dependence of conductivity and specific heat. (ii) It is found that non-magnetic impurities strongly a↵ect the competition between pairing instability and fermionic incoherence in non-Fermi liquids. In particular, an intermediate range of disorder strength is identified where superconductivity is enhanced due to multifractality of the single-particle wave functions. (iii) It is demonstrated that the interplay between multifractality and quantum fluctuations in disordered two-dimensional superconductors can result in a non-trivial energy dependence of the gap function, strong mesoscopic fluctuations, and unconventional dynamics of collective modes. (iv) In addition, the e↵ects of multifractality are also investigated in the Anderson model on a disordered Cayley tree, and the full distribution of the Green's functions is obtained. (v) Finally, a new thermodynamically consistent theory of quantum magneto-oscillations in non-Fermi liquids is developed, yielding temperature dependence of the oscillation amplitudes distinct from the conventional Lifshitz-Kosevich formula.
■590 ▼aSchool code: 0212.
■650 4▼aEnergy
■650 4▼aElectrons
■650 4▼aSuperconductivity
■650 4▼aEntropy
■650 4▼aMagnetic fields
■650 4▼aAtomic physics
■650 4▼aElectromagnetics
■650 4▼aLow temperature physics
■690 ▼a0791
■690 ▼a0748
■690 ▼a0607
■690 ▼a0598
■71020▼aStanford University.
■7730 ▼tDissertations Abstracts International▼g86-05B.
■790 ▼a0212
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164855▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
