Fulde-Ferrell-Larkin-Ovchinnikov states in vortex lattices

Physics – Condensed Matter – Superconductivity

Scientific paper

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13 pages, 5 figures

Scientific paper

The magnetism of superconductors has not been fully explored despite many years of research and its great significance to both theory and applications. Here we present a unified perspective on how quantum electromagnetic vortices and electron-spin textures join to protect superconductivity against the destructive power of large magnetic fields. Using rapidly rotating ultra-cold gasses of fermionic atoms as a model system amenable to detailed experimental exploration, we discover a hierarchy of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases in which a metal or a band-insulator of unpaired particles coexists with a spatially modulated superfluid. Quantum fluctuations can transform these phases into strongly correlated vortex liquid metals or insulators. We elucidate a general criterion for the stability of FFLO phases and discuss implications for the quantum Hall and vortex liquid phenomena in the pseudogap state of high temperature superconductors.

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