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@PHDTHESIS{Okugawa:980578,
      author       = {Okugawa, Takuya},
      othercontributors = {Kennes, Dante Marvin and Meden, Volker},
      title        = {{N}on-equilibrium quantum many-body physics from a
                      micro-to-macro perspective},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2024-02367},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2024},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, RWTH Aachen University, 2024},
      abstract     = {In recent years, there has been huge attention in condensed
                      matter physics towards controlling material properties on
                      demand and achieving novel material properties out of
                      equilibrium. In this thesis, we investigate unique material
                      properties in an out-of-equilibrium state as well as a
                      transport configuration within the linear response regime
                      from both a micro and macro perspective. In the first part
                      of the thesis, we explore two projects from a microscopic
                      perspective. The first project focuses on disorder-induced
                      topological phase transitions in two-dimensional
                      magnetically doped (Bi, Sb)2 Te3 thin films. To examine the
                      behavior of these materials, we employ large-scale transport
                      simulations where disorder is employed in the central
                      region, connected to quantum spin Hall leads. We examine
                      both uncorrelated and correlated types of disorder, and
                      construct phase diagrams by calculating not only the
                      disordered-averaged linear conductance but also the
                      corresponding standard deviations. Besides being influenced
                      by the strength of disorder, they depend on factors like the
                      magnetic exchange field, the Fermi level, and the
                      topological state in the undoped and clean limits of the
                      films. In the second project, we focus on a periodically
                      driven system generated by periodically oscillating electric
                      fields. First, we examine the non-interacting paramagnetic
                      susceptibility, where we identify certain divergences that
                      serve as potential indicators of symmetry-breaking phases.
                      Subsequently, we investigate the realms of ferromagnetic and
                      antiferromagnetic phases by utilizing Floquet mean-field
                      equations. In the second part of the thesis, we shift our
                      focus to the realm of non-equilibrium physics from a
                      macroscopic perspective. To do this, we employ the
                      phenomenological time-dependent Ginzburg-Landau formalism.
                      Our first investigation focuses on the influence of
                      boundaries on the steady-state vortex flow driven by an
                      applied current in two-dimensional superconductors. In our
                      analysis, we identify three distinct regimes: 1)A
                      low-current regime in which the vortex lattice moves as a
                      whole. 2) A high-current regime with an "anti-Poiseuille"
                      characteristic, where vortices near the sample boundaries
                      move faster. 3) An intermediate regime characterized by a
                      "stick-slip" behavior. We interpret our findings through a
                      Bardeen-Stephen analysis, where the reduced order parameter
                      near the sample edges leads to lower viscosity, and in terms
                      of the phase slipline state. Next, we explore the driven
                      motion of vortices in two-dimensional Corbino geometries
                      within superconductor-normal metal-superconductor Josephson
                      junctions. To address the issue of random vortex nucleation,
                      we introduce normal conducting rails to the Corbino disk,
                      which helps guide the nucleation process and the subsequent
                      motion of vortices toward the junction. We explore the
                      implications of interactions between the rails and vortices,
                      as well as interactions between vortices themselves, on the
                      quantization of resistance across the junction.
                      Additionally, we conduct simulations involving the
                      nucleation and manipulation of two and four vortices in
                      Corbino networks, and and discuss its potential application
                      to Majorana zero mode braiding operations.},
      cin          = {135320 / 130000},
      ddc          = {530},
      cid          = {$I:(DE-82)135320_20180927$ / $I:(DE-82)130000_20140620$},
      pnm          = {GRK 1995 - GRK 1995: Quantenmechanische
                      Vielteilchenmethoden in der kondensierten Materie
                      (240766775) / DFG project 390534769 - EXC 2004: Materie und
                      Licht für Quanteninformation (ML4Q) (390534769)},
      pid          = {G:(GEPRIS)240766775 / G:(GEPRIS)390534769},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2024-02367},
      url          = {https://publications.rwth-aachen.de/record/980578},
}