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              In quantum spins systems, frustration and low-dimensionality generate quantum fluctuations and give rise to exotic quantum phases. This thesis studies a spin ladder model with frustrating couplings along the legs, motivated by experiments on cuprate BiCu2PO6. First, we present an original variational method to describe the low-energy excitations of a single frustrated chain. Then, the phase diagram of two coupled chains is computed with numerical methods. The model exhibits a quantum phase transition between a dimerized phase and resonating valence bound (RVB) phase. The physics of the RVB phase and in particular the onset of incommensurability are studied numerically and by a mean-field treatment. Afterwards, we study the effects of non-magnetic impurities on the magnetization curve and the Curie law at low temperature. These magnetic properties are first discussed at zero temperature with probability arguments. Then a low-energy effective model is derived within the linear response theory and is used to explain the magnetic properties at finite temperature. Eventually, we study the effect of bonds disorder, on a single frustrated chain. The variational method introduced in the non-disordered case gives a low disorder picture of the dimerized phase instability, which consists in the formation of Imry-Ma domains delimited by localized spinons. This result is finally discussed in the light of the strong disorder real space renormalization.
            """ ;
    dct:identifier "NNT: 2013PA112135" ;
    dct:issued "2026-05-07T16:17:21.838414"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-07T16:17:21.838419"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Frustration and disorder in quantum spin chains and ladders" ;
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    dcat:keyword "chaines-de-spins",
        "desordre",
        "disorder",
        "electrons-fortement-correles",
        "frustration",
        "infoeu-reposemanticsdoctoralthesis",
        "magnetisme-quantique",
        "physcondcm-genphysics-physicscondensed-matter-cond-matother-cond-matother",
        "quantum-magnetism",
        "spin-chains",
        "strongly-correlated-electrons",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00923197> .

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    dct:issued "2026-05-07T16:17:21.848945"^^xsd:dateTime ;
    dct:modified "2026-05-07T16:17:21.825018"^^xsd:dateTime ;
    dct:title "Frustration and disorder in quantum spin chains and ladders" ;
    dcat:accessURL <https://theses.hal.science/tel-00923197> .

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