BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Relevance of electronic interactions at quasiperiodicity-driven lo calization transitions DTSTART:20251202T153000Z DTEND:20251202T170000Z DTSTAMP:20260811T171439Z UID:87769626-bc39-4aa6-95a4-d89099e62569 SEQUENCE:3 CREATED:20251127T095129Z DESCRIPTION:LinkIn real materials\, disorder can induce (Anderson) insulat ing phases. Notably\, quasiperiodic modulations can also strongly affect w avefunction localization. As the quasiperiodic potential increases\, singl e-particle states transition from delocalized to critical and finally to l ocalized\, with metal-insulator transitions distinct from those in disorde red systems.The simplest model capturing this transition is the Aubry-Andr é model\, which features a remarkable duality between localized and deloc alized states\, recently shown to be a generic feature\, but somehow hidde n\, near the transition.Recently\, studies in quasiperiodicity were extend ed to 1D systems of interacting spinless fermions. Interestingly\, such in teractions were found to become irrelevant around the transition\, with ei genstates following the hidden-duality scenario of the non-interacting lim it.This project explores the effects of spinful interactions in quasiperio dicity-driven localization transitions\, specifically\, whether they becom e relevant\, as in higher-dimensional disorder-driven transitions\, or rem ain irrelevant\, as in the spinless case. We aim to determine whether thes e transitions can always be described by a non-interacting theory or if sp inful interactions alter their nature.To study the system'\;s ground-s tate properties\, we employ the Density Matrix Renormalization Group (DMRG )\, which determines many-body quantum states with polynomial complexity i n system size.Our results show that spinful interactions are relevant\, mo difying the nature and critical properties of the quasiperiodicity-driven localization transition. Unlike the spinless case\, excitations at critica lity display interacting behavior.Additionally\, we investigate the intera ction-driven ordered transition in the spinless model. This analysis revea led a highly interacting critical point. Within the LL phase\, the single- particle observable (OIPR) and the Luttinger parameter capture information of the same nature. LAST-MODIFIED:20251127T105853Z LOCATION:Sala de Formação Avançada Piso 2 Pavilhão de Física/Online URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/relevance-of-electronic-in teractions-at-quasiperiodicity-driven-localization-transitions/ X-ALT-DESC;FMTTYPE=text/html:

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In real materials\, dis order can induce (Anderson) insulating phases. Notably\, quasiperiodic mod ulations can also strongly affect wavefunction localization. As the quasip eriodic potential increases\, single-particle states transition from deloc alized to critical and finally to localized\, with metal-insulator transit ions distinct from those in disordered systems.

The simplest model capturing this transition is the Aubry-André model\ , which features a remarkable duality between localized and delocalized st ates\, recently shown to be a generic feature\, but somehow hidden\, near the transition.

Recently\, studies in quasiperiodicity were extended to 1D systems of interacting spinless fe rmions. Interestingly\, such interactions were found to become irrelevant around the transition\, with eigenstates following the hidden-duality scen ario of the non-interacting limit.

This proje ct explores the effects of spinful interactions in quasiperiodicity-driven localization transitions\, specifically\, whether they become relevant\, as in higher-dimensional disorder-driven transitions\, or remain irrelevan t\, as in the spinless case. We aim to determine whether these transitions can always be described by a non-interacting theory or if spinful interac tions alter their nature.

To study the system'\;s ground-state properties\, we employ the Density Matrix Renormalization Group (DMRG)\, which determines many-body quantum states w ith polynomial complexity in system size.

Our results show that spinful interactions are relevant\, modifying the natur e and critical properties of the quasiperiodicity-driven localization tran sition. Unlike the spinless case\, excitations at criticality display inte racting behavior.

Additionally\, we investiga te the interaction-driven ordered transition in the spinless model. This a nalysis revealed a highly interacting critical point. Within the LL phase\ , the single-particle observable (OIPR) and the Luttinger parameter captur e information of the same nature.

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