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Topological phases and fractionalization in one-dimensional systems Smitha Vishveshwara, University Illinois Urbana-Champaign, DMR 0644022. Topological Phases Studied spin ladders and superconductors for hosting ‘topological phases’ that have exotic (Majorana fermion) bound states at the ends

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Topological phases and fractionalization in one-dimensional systemsSmitha Vishveshwara, University Illinois Urbana-Champaign, DMR 0644022
  • Topological Phases
  • Studied spin ladders and superconductors for hosting ‘topological phases’ that have exotic (Majorana fermion) bound states at the ends
  • Found that applying potentials that are periodic, quasiperiodic, or disordered give rise to rich topological phase diagrams
  • Charge fractionalization in rings
  • Found that ring geometries are well suited to explore splintering of electron due to interactions. Predict clear signatures in magnetic field profile.
  • Findings contribute to strongly correlated physics, nanoscience and potentially topological quantum computation. Can be directly tested by experiments

Spin ladder systems and superconducting wires

in periodic potentials: host new topological regions

Hofstadter butterfly pattern for normal systems in

quasiperiodic potentials (left panel) mirrored in

superconducting topological phases (grey, right panel)

Geometry to measure

charge fractionalization in

ring geometries

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Topological phases and fractionalization in one-dimensional systemsSmithaVishveshwara, University Illinois Urbana-Champaign, DMR 0644022

International

collaboration at

Indian Institute

of Science (IISc),

Bangalore,

India

Prof. Diptiman Sen

Collaborator at IISc

  • BROADER IMPACTS
  • International collaboration at IISc, a premier Indian institute, leading to liaisons with physics dept., graduate student exchange, and several papers
  • Development of special topics graduate course largely based on research from this grant
  • Fostering Women in Physics ventures on several fronts
  • Mentoring of undergraduates

DeGottardi, Graduate Student of PI

Visited IISc – training, collaboration

PI discusses with undergraduates