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Theory of superfluid fermi systems

Rashmiraj Balkrishna Prabhu

Published Jan 1, 1970• 0 citations
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arXiv:1301.0357•Annual Review of Nuclear and Particle Science•Jun 14, 2013•83 citations
This is the second of two papers in which the binary expansion is used to study properties of hard core Fermi systems with broken gauge symmetry. In this paper, we make contact with the phenomenology of superfluid Fermi systems commonly used in field theory. This requires, however, that each scattering event is approximated by its forward scattering value, an approximation which, at best is valid at very low densities. Within this approximation we show that a hard sphere Fermi fluid can exhibit superfluidity.
In the present paper, we consider the theory, describing both spiral magnetics and superfluid Fermi-liquid with a triplet pairing. Previously this method was used in the description of a superfluid Fermi-liquid in the singlet case. This approach is a generalization of the classical theory of Fermi-liquid. This semiphenomenological study combines the advantages of both the microscopic and phenomenological description. The method permits the spectra of collective excitations of the system to be obtained taking into account the Fermi-liquid effects.
I describe the time-dependent superfluid local density approximation, which is an adiabatic extension of the density functional theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been used to describe several phenomena in cold atomic gases and nuclear collective motion: excitation of the Higgs modes in strongly interacting Fermi superfluids, generation of quantized vortices, crossing and reconnection of vortices, excitation of the superflow at velocities above the critical velocity, excitation of quantum shock waves and domain walls in the collisions of superfluid atomic clouds, and excitation of collective states in nuclei.