CRC Press eBooks

The Fermi gas

Kerson Huang

Published Nov 9, 2001• 0 citations

Abstract

F = µ(n, 0) (9.4) are occupied, and all those above are empty. In momentum space the occupied states lie within the Fermi sphere of radius pF , as illustrated in Fig. 9.1. Such a condition is called “quantum degeneracy”.

DOI: 10.1201/9781482268300-11

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CRC Press eBooks

The Fermi gas

Kerson Huang

Published Nov 9, 2001• 0 citations

Publisher

Abstract

DOI: 10.1201/9781482268300-11

Related papers

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Yu. G. Pogorelov, Vasily R. Shaginyan

We consider a system of fermions with mass m and model repulsive interaction U(q) = g/\sqrt{q^2 + q_0^2}, where q is the momentum transfer, q_0 the screening constant, and g > 0 the coupling constant. It is shown that at g > g_cr > 3π^2/m the system ground state is changed from fully occupied Fermi sphere to multiconnected Fermi sphere (MFS), consisting in N fully occupied spherical layers (icebergs) separated by empty spacers. An effective description is developed for such states at N >> 1, showing their tendency at N \to \infty to the Fermi condensate (FC) state known for the model U(q) = g/q [Khodel, Shaginyan, JETP Lett., 51, 553, 1990]. At finite temperatures, a crossover is predicted from the Fermi liquid behavior of MFS with effective mass m^* \sim m N/ln(N) to non-Fermi-liquid behavior with m^* \propto 1/T at T > T^* \sim T_F ln(N)/N.We consider a system of fermions with mass m and model repulsive interaction U(q) = g/\sqrt{q^2 + q_0^2}, where q is the momentum transfer, q_0 the screening constant, and g > 0 the coupling constant. It is shown that at g > g_cr > 3π^2/m the system ground state is changed from fully occupied Fermi sphere to multiconnected Fermi sphere (MFS), consisting in N fully occupied spherical layers (icebergs) separated by empty spacers. An effective description is developed for such states at N >> 1, showing their tendency at N \to \infty to the Fermi condensate (FC) state known for the model U(q) = g/q [Khodel, Shaginyan, JETP Lett., 51, 553, 1990]. At finite temperatures, a crossover is predicted from the Fermi liquid behavior of MFS with effective mass m^* \sim m N/ln(N) to non-Fermi-liquid behavior with m^* \propto 1/T at T > T^* \sim T_F ln(N)/N.

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arXiv:2104.10591Physical Review ADec 20, 20214 citations

Quantum oscillations in confined and degenerate Fermi gases. II. The phase diagram and applications of half-vicinity model

Alhun Aydin, Altuğ Şişman

Physics Letters AApr 26, 201810 citations

We study theoretically the deformation of the Fermi surface (FS) of a three-dimensional gas of Rydberg-dressed

^{6}\mathrm{Li}

atoms. The laser dressing to high-lying Rydberg

D

states results in angle-dependent soft-core-shaped interactions whose anisotropy is described by multiple spherical harmonics. We show that this can drastically modify the shape of the FS and that its deformation depends on the interplay between the Fermi momentum

{k}_{F}

and the reciprocal momentum

\overline{k}

corresponding to the characteristic soft-core radius of the dressing-induced potential. When

{k}_{F}<\overline{k}

, the dressed interaction stretches a spherical FS into an ellipsoid. When ${k}_{F}\ensuremath{\gtrsim}\overline{k}$, complex deformations are encountered which exhibit multipolar characteristics. We analyze the formation of Cooper pairs around the deformed FS and show that they occupy large orbital angular momentum states (

p, f

, and

h

wave) coherently. Our study demonstrates that Rydberg dressing to high angular momentum states may pave a route toward the investigation of unconventional Fermi gases and multiwave superconductivity.