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Physics Letters A

The single vortex in the FFLO state

Xinle Shang, Pengming Zhang, Zuo Wei

Published Feb 20, 2010• 4 citations
Publisher
DOI
10.1016/j.physleta.2010.02.039

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We theoretically investigate the microscopic structure of neutral Fermionic systems with unequal atomic populations. By using fully microscopic Bogoliubov‐de Gennes framework, we study on the vortex structure in a single‐vortex state with and without the Fulde‐Ferrell‐Larkin‐Ovchinnikov (FFLO) modulation of the pairing field. It is found that the novel local density of states structure appears at intersection point of the FFLO nodal plane and the vortex line, which reflects the topological structure of the pairing field.
By analyzing vortex lattices, re-entrant Cooper pairing, and Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states in a single theoretical framework, we explore how vortices and spin textures join to protect superconductivity against large magnetic fields. We use a rapidly rotating ultracold gas of fermionic atoms near unitarity as a model system amenable to experimental exploration and discover a hierarchy of spin-polarized and FFLO phases in which a metal or a band insulator of unpaired particles coexists with a spatially modulated superfluid hosting a vortex lattice. Quantum fluctuations can transform these phases into strongly correlated ``vortex-liquid'' metals and insulators, respectively. We argue that vortex lattices significantly enhance the stability of FFLO states and discuss prospects for observing these states in cold-atom experiments.