Quantum Phase Transitions and Emergent Phases in Ladder Systems

Detalhes bibliográficos
Ano de defesa: 2025
Autor(a) principal: ALMEIDA, Danilo da Silva
Orientador(a): MONTENEGRO FILHO, Renê Rodrigues
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de Pernambuco
Programa de Pós-Graduação: Programa de Pos Graduacao em Fisica
Departamento: Não Informado pela instituição
País: Brasil
Palavras-chave em Português:
Quantum Phase Transitions
Spin Ladders
Frustrated Systems
Quantum Magnetism
DMRG
Link de acesso: https://repositorio.ufpe.br/handle/123456789/65224
Resumo: This thesis investigates the ground-state properties and quantum phase diagrams of low-dimensional spin systems, with a focus on spin–1/2 ladder chains and related models. These systems provide a fertile ground for exploring the interplay between magnetic frus- tration, quantum correlations, topology, and external fields. By combining advanced nu- merical methods, primarily the density matrix renormalization group (DMRG), with ana- lytical approaches, we analyze how different coupling geometries and magnetic fields give rise to distinct quantum phases, including magnetization plateaus, symmetry-protected and topological phases, and first-order transitions. The study covers both uniform and alternating ladders, as well as coupled ladder systems that interpolate between one- and two-dimensional behavior. In particular, we examine how frustration influences the stabil- ity of collective spin states, and how interladder couplings can drive transitions between resonating valence bond (RVB) states, Haldane phases, and trivial phases hosting collec- tive spin excitations. Although approximate analytical models, such as hard-core boson mappings and spin-wave theory, capture some qualitative aspects of these systems, our results highlight their limitations in accurately describing critical behavior and phase boundaries, reinforcing the importance of high-precision numerical analysis.
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spelling ALMEIDA, Danilo da Silvahttp://lattes.cnpq.br/2847557260487609http://lattes.cnpq.br/7977378392052504MONTENEGRO FILHO, Renê Rodrigues2025-08-20T12:52:34Z2025-08-20T12:52:34Z2025-05-27ALMEIDA, Danilo da Silva. Quantum Phase Transitions and Emergent Phases in Ladder Systems. 2025. Tese (Doutorado em Física) - Universidade Federal de Pernambuco, Recife, 2025.https://repositorio.ufpe.br/handle/123456789/65224This thesis investigates the ground-state properties and quantum phase diagrams of low-dimensional spin systems, with a focus on spin–1/2 ladder chains and related models. These systems provide a fertile ground for exploring the interplay between magnetic frus- tration, quantum correlations, topology, and external fields. By combining advanced nu- merical methods, primarily the density matrix renormalization group (DMRG), with ana- lytical approaches, we analyze how different coupling geometries and magnetic fields give rise to distinct quantum phases, including magnetization plateaus, symmetry-protected and topological phases, and first-order transitions. The study covers both uniform and alternating ladders, as well as coupled ladder systems that interpolate between one- and two-dimensional behavior. In particular, we examine how frustration influences the stabil- ity of collective spin states, and how interladder couplings can drive transitions between resonating valence bond (RVB) states, Haldane phases, and trivial phases hosting collec- tive spin excitations. Although approximate analytical models, such as hard-core boson mappings and spin-wave theory, capture some qualitative aspects of these systems, our results highlight their limitations in accurately describing critical behavior and phase boundaries, reinforcing the importance of high-precision numerical analysis.Esta tese investiga as propriedades do estado fundamental e os diagramas de fase quânticos de sistemas de spin de baixa dimensionalidade, com foco em cadeias do tipo escada de spin–1/2 e modelos relacionados. Esses sistemas oferecem um terreno fértil para explorar a interação entre frustração magnética, correlações quânticas, topologia e campos externos. Combinando métodos numéricos avançados, principalmente o grupo de renor- malização da matriz densidade (DMRG), com abordagens analíticas, analisamos como diferentes geometrias de acoplamento e campos magnéticos dão origem a fases quânticas distintas, incluindo platôs de magnetização, fases topológicas e protegidas por simetria, e transições de primeira ordem. O estudo abrange escadas uniformes e alternadas, bem como sistemas de escadas acopladas que interpolam entre comportamentos unidimensionais e bidimensionais. Em particular, examinamos como a frustração influencia a estabilidade dos estados coletivos de spin e como os acoplamentos entre escadas podem induzir tran- sições entre estados de valência ressonante (RVB), fases de Haldane e fases triviais com excitações coletivas de spin. Embora modelos analíticos aproximados, como mapeamentos para bósons duros e teoria de ondas de spin, captem certos aspectos qualitativos desses sistemas, nossos resultados destacam suas limitações na descrição precisa de fenômenos críticos e fronteiras de fase, reforçando a importância de análises numéricas de alta pre- cisão.engUniversidade Federal de PernambucoPrograma de Pos Graduacao em FisicaUFPEBrasilhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessQuantum Phase TransitionsSpin LaddersFrustrated SystemsQuantum MagnetismDMRGQuantum Phase Transitions and Emergent Phases in Ladder Systemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisdoutoradoreponame:Repositório Institucional da UFPEinstname:Universidade Federal de Pernambuco (UFPE)instacron:UFPELICENSElicense.txtlicense.txttext/plain; charset=utf-82362https://attena.ufpe.br/bitstream/123456789/65224/2/license.txt5e89a1613ddc8510c6576f4b23a78973MD52ORIGINALTESE Danilo 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dc.title.pt_BR.fl_str_mv Quantum Phase Transitions and Emergent Phases in Ladder Systems
title Quantum Phase Transitions and Emergent Phases in Ladder Systems
spellingShingle Quantum Phase Transitions and Emergent Phases in Ladder Systems
ALMEIDA, Danilo da Silva
Quantum Phase Transitions
Spin Ladders
Frustrated Systems
Quantum Magnetism
DMRG
title_short Quantum Phase Transitions and Emergent Phases in Ladder Systems
title_full Quantum Phase Transitions and Emergent Phases in Ladder Systems
title_fullStr Quantum Phase Transitions and Emergent Phases in Ladder Systems
title_full_unstemmed Quantum Phase Transitions and Emergent Phases in Ladder Systems
title_sort Quantum Phase Transitions and Emergent Phases in Ladder Systems
author ALMEIDA, Danilo da Silva
author_facet ALMEIDA, Danilo da Silva
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/2847557260487609
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/7977378392052504
dc.contributor.author.fl_str_mv ALMEIDA, Danilo da Silva
dc.contributor.advisor1.fl_str_mv MONTENEGRO FILHO, Renê Rodrigues
contributor_str_mv MONTENEGRO FILHO, Renê Rodrigues
dc.subject.por.fl_str_mv Quantum Phase Transitions
Spin Ladders
Frustrated Systems
Quantum Magnetism
DMRG
topic Quantum Phase Transitions
Spin Ladders
Frustrated Systems
Quantum Magnetism
DMRG
description This thesis investigates the ground-state properties and quantum phase diagrams of low-dimensional spin systems, with a focus on spin–1/2 ladder chains and related models. These systems provide a fertile ground for exploring the interplay between magnetic frus- tration, quantum correlations, topology, and external fields. By combining advanced nu- merical methods, primarily the density matrix renormalization group (DMRG), with ana- lytical approaches, we analyze how different coupling geometries and magnetic fields give rise to distinct quantum phases, including magnetization plateaus, symmetry-protected and topological phases, and first-order transitions. The study covers both uniform and alternating ladders, as well as coupled ladder systems that interpolate between one- and two-dimensional behavior. In particular, we examine how frustration influences the stabil- ity of collective spin states, and how interladder couplings can drive transitions between resonating valence bond (RVB) states, Haldane phases, and trivial phases hosting collec- tive spin excitations. Although approximate analytical models, such as hard-core boson mappings and spin-wave theory, capture some qualitative aspects of these systems, our results highlight their limitations in accurately describing critical behavior and phase boundaries, reinforcing the importance of high-precision numerical analysis.
publishDate 2025
dc.date.accessioned.fl_str_mv 2025-08-20T12:52:34Z
dc.date.available.fl_str_mv 2025-08-20T12:52:34Z
dc.date.issued.fl_str_mv 2025-05-27
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv ALMEIDA, Danilo da Silva. Quantum Phase Transitions and Emergent Phases in Ladder Systems. 2025. Tese (Doutorado em Física) - Universidade Federal de Pernambuco, Recife, 2025.
dc.identifier.uri.fl_str_mv https://repositorio.ufpe.br/handle/123456789/65224
identifier_str_mv ALMEIDA, Danilo da Silva. Quantum Phase Transitions and Emergent Phases in Ladder Systems. 2025. Tese (Doutorado em Física) - Universidade Federal de Pernambuco, Recife, 2025.
url https://repositorio.ufpe.br/handle/123456789/65224
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.publisher.program.fl_str_mv Programa de Pos Graduacao em Fisica
dc.publisher.initials.fl_str_mv UFPE
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPE
instname:Universidade Federal de Pernambuco (UFPE)
instacron:UFPE
instname_str Universidade Federal de Pernambuco (UFPE)
instacron_str UFPE
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reponame_str Repositório Institucional da UFPE
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