Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
arXiv:0810.1321 · doi:10.1016/j.aop.2008.10.011
Abstract
We propose to use a two-species Fermi gas with the interspecies s-wave Feshbach resonance to realize p-wave superfluidity in two dimensions. By confining one species of fermions in a two-dimensional plane immersed in the background three-dimensional Fermi sea of the other species, an attractive interaction is induced between two-dimensional fermions. We compute the pairing gap in the weak-coupling regime and show that it has the symmetry of p_x+ip_y. Because the magnitude of the pairing gap increases toward the unitarity limit, it is possible that the critical temperature for the p_x+ip_y-wave superfluidity becomes within experimental reach. The resulting system has a potential application to topological quantum computation using vortices with non-Abelian statistics. We also discuss aspects of our system in the unitarity limit as a "nonrelativistic defect conformal field theory (CFT)". The reduced Schrödinger algebra, operator-state correspondence, scaling dimensions of composite operators, and operator product expansions are investigated.
22 pages, 10 figures; version to appear in Ann. Phys
References in corpus (27)
- Many-Body Physics with Ultracold Gases
- Theory of ultracold Fermi gases
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Weakly bound dimers of fermionic atoms
- superfluid from s-wave interactions of fermionic cold atoms
- Nonrelativistic conformal field theories
- Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
- Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
- Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
- p-wave Feshbach molecules
- Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
- Universal Fermi gases in mixed dimensions
- Large-N expansion for unitary superfluid Fermi gases
- Collisional Properties of p-Wave Feshbach Molecules
- Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
- Binding Energies of 6Li p-wave Feshbach Molecules
- Three fully polarized fermions close to a p-wave Feshbach resonance
- Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance
- Fermi gas near unitarity around four and two spatial dimensions
- Diatomic molecules in ultracold Fermi gases - Novel composite bosons
- Strongly-resonant p-wave superfluids
- Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
- Universal Fermi Gas with Two- and Three-Body Resonances
- Unitary Fermi gas at finite temperature in the epsilon expansion
- On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
- Renormalization group analysis of resonantly interacting anyons
Cited by in corpus (4)
- Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
- Confinement-induced Efimov resonances in Fermi-Fermi mixtures
- Induced P-wave superfluidity within full energy-momentum dependent Eliashberg approximation in asymmetric dilute Fermi gases
- A holographic perspective on non-relativistic conformal defects