Nonlocal orbital-free kinetic pressure tensors for the Fermi gas

In this paper we derived a new condition of formation and stability of all crystalline systems and we checked its validity andit is found to be in a good agreement with experimental data. This condition is derived directly from the quantum conditionson the free electron Fermi gas inside the crystal. The new condition relates both the volume of Fermi sphere VF andvolume of Brillouin zone VB by the valence electron concentration VEC as ;ð‘½ð‘ð‘½ð‘©= ð’ð‘½ð‘¬ð‘ªðŸfor all crystalline systems (wheren is the number of atoms per lattice point).

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Superconductivity and Metal-Insulator Phase Transition in a Layered Two-Dimensional Fermi Gas

physica status solidi (b) ◽

10.1002/1521-3951(199705)201:1<167::aid-pssb167>3.0.co;2-p ◽

1997 ◽

Vol 201 (1) ◽

pp. 167-193 ◽

Cited By ~ 1

Author(s):

Y.M. Malozovsky ◽

J.D. Fan

Keyword(s):

Phase Transition ◽

Fermi Gas ◽

Two Dimensional ◽

Metal Insulator ◽

Insulator Phase Transition

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Test of Fermi gas model predictions of level density inXe137

Physical Review C ◽

10.1103/physrevc.31.2041 ◽

1985 ◽

Vol 31 (6) ◽

pp. 2041-2048 ◽

Cited By ~ 14

Author(s):

B. Fogelberg ◽

J. A. Harvey ◽

M. Mizumoto ◽

S. Raman

Keyword(s):

Level Density ◽

Fermi Gas ◽

Model Predictions

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Fermi gas approach to general rank theories and quantum curves

Journal of High Energy Physics ◽

10.1007/jhep10(2020)158 ◽

2020 ◽

Vol 2020 (10) ◽

Author(s):

Naotaka Kubo

Keyword(s):

Matrix Models ◽

Critical Role ◽

Three Dimensional ◽

Fermi Gas ◽

Fermi Gases ◽

Partition Functions ◽

Density Matrices ◽

General Rank ◽

Chern Simons ◽

The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

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