Resonant Superfluidity in an Optical Lattice

Titvinidze, I.; Snoek, M.; Hofstetter, W.

doi:10.48550/arxiv.0912.1589

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“…The present interest in this subject is driven in parallel by a variety of unconventional superconductors in condensed matter physics, and ultra-cold atoms with nearly resonant scattering. The recent theoretical studies of scattering resonances in lattice potentials [18][19][20][21][22][23][24] often rely on twochannel tight-binding models, featuring fermionic atoms resonantly coupled to closed channel bosonic particles. It has been argued that models of this kind provide a good effective description of the microscopic lattice systems of interest [25][26][27] .…”

Section: Introductionmentioning

confidence: 99%

Unitarity in periodic potentials: A renormalization group analysis

Nikolić

2011

Phys. Rev. B

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We explore the universal properties of interacting fermionic lattice systems, mostly focusing on the development of pairing correlations from attractive interactions. Using renormalization group we identify a large number of fixed points and show that they correspond to resonant scattering in multiple channels. Pairing resonances in finite-density band insulators occur between quasiparticles and quasiholes living at different symmetry-related wavevectors in the Brillouin zone. This allows a BCS-BEC crossover interpretation of both Cooper and particle-hole pairing. We show that in two dimensions the run-away flows of relevant attractive interactions lead to charged-boson-dominated low energy dynamics in the insulating states, and superfluid transitions in bosonic mean-field or XY universality classes. Analogous phenomena in higher dimensions are restricted to the strong coupling limit, while at weak couplings the transition is in the pair-breaking BCS class. The models discussed here can be realized with ultra-cold gases of alkali atoms tuned to a broad Feshbach resonance in an optical lattice, enabling experimental studies of pairing correlations in insulators, especially in their universal regimes. In turn, these simple and tractable models capture the emergence of fluctuationdriven superconducting transitions in fermionic systems, which is of interest in the context of high temperature superconductors.

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Section: Introductionmentioning

confidence: 99%

Unitarity in periodic potentials: A renormalization group analysis

Nikolić

2011

Phys. Rev. B

View full text Add to dashboard Cite

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Resonant Superfluidity in an Optical Lattice

Cited by 1 publication

References 0 publications

Unitarity in periodic potentials: A renormalization group analysis

Unitarity in periodic potentials: A renormalization group analysis

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