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New approach in the microscopic Fermi systems theory

VICTOR A. KHODEL, Vasily R. Shaginyan, V.V. Khodel

Physics ReportsDec 1, 1994158 citations

New approach to microscopic theory of normal Fermi systems

VICTOR A. KHODEL, Vasily R. Shaginyan

Nuclear Physics AAug 1, 198911 citations

Microscopic Theory of Strongly Correlated Fermi Systems

T. V. Ramakrishnan, B. Sriram Shastry

Springer eBooksJan 1, 19870 citations

Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: The Goldstone phonon and its Landau damping

Peng Zou, Hui Hu, Xia-Ji Liu

We develop a microscopic theory of the dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional approach---the so-called superfluid local density approximation. The accuracy of the theory is quantitatively examined by comparing the theoretical predictions with recent experimental measurements for the local dynamic structure factor of a nearly homogeneous unitary Fermi gas at low transferred momentum [S. Hoinka et al., Nat. Phys. 13, 943 (2017)], without any free parameters. We calculate the dynamic structure factor as functions of temperature and transferred momentum, and determine the temperature evolution of the phonon damping rate, by considering the dominant decay process of the phonon mode via scatterings off fermionic quasiparticles. These predictions can be confronted with future Bragg scattering experiments on a unitary Fermi gas near the superfluid transition.We develop a microscopic theory of the dynamic structure factor to describe the Bogoliubov-Anderson-Goldstone phonon mode and its damping rate in a strongly interacting Fermi gas at finite temperature. It is based on a density functional approach---the so-called superfluid local density approximation. The accuracy of the theory is quantitatively examined by comparing the theoretical predictions with recent experimental measurements for the local dynamic structure factor of a nearly homogeneous unitary Fermi gas at low transferred momentum [S. Hoinka et al., Nat. Phys. 13, 943 (2017)], without any free parameters. We calculate the dynamic structure factor as functions of temperature and transferred momentum, and determine the temperature evolution of the phonon damping rate, by considering the dominant decay process of the phonon mode via scatterings off fermionic quasiparticles. These predictions can be confronted with future Bragg scattering experiments on a unitary Fermi gas near the superfluid transition.

arXiv:1712.08318Physical Review AJul 16, 201820 citations

Microscopic theory of superfluid Fermi systems. II. Application to low density hard sphere system

L. E. Reichl

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.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.

Journal of Mathematical PhysicsMar 1, 19790 citations

Weizsäcker energy of unitary Fermi gas in a harmonic trap

Alexander L. Zubarev

The universal method of construction of the rigorous lower bounds to the Weizsäcker energy is presented. We study a few-fermion system at unitarity. Upper and lower bounds to the density functional theory ground-state energy within the local density approximation are given. The rigorous lower bounds to the accuracy of the method are derived.

Journal of Physics B Atomic Molecular and Optical PhysicsDec 12, 200810 citations

Accuracy of the local approximation in the microscopic theory of Fermi systems

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