Chemical potential of a D‐dimensional free Fermi gas at finite temperatures

1989 ◽  
Vol 30 (8) ◽  
pp. 1837-1839 ◽  
Author(s):  
M. Howard Lee
Keyword(s):  
Chemical Potential ◽  
Fermi Gas ◽  
Free Fermi

scholarly journals Thermodynamics of Low-Dimensional Trapped Fermi Gases

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Francisco J. Sevilla
Keyword(s):  
Isothermal Compressibility ◽  
Chemical Potential ◽  
Particle Density ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Nonmonotonic Dependence ◽  
Characteristic Temperatures ◽  
Low Dimensionality ◽  
Thermodynamic Regime ◽  
Low Dimensional

The effects of low dimensionality on the thermodynamics of a Fermi gas trapped by isotropic power-law potentials are analyzed. Particular attention is given to different characteristic temperatures that emerge, at low dimensionality, in the thermodynamic functions of state and in the thermodynamic susceptibilities (isothermal compressibility and specific heat). An energy-entropy argument that physically favors the relevance of one of these characteristic temperatures, namely, the nonvanishing temperature at which the chemical potential reaches the Fermi energy value, is presented. Such an argument allows interpreting the nonmonotonic dependence of the chemical potential on temperature, as an indicator of the appearance of a thermodynamic regime, where the equilibrium states of a trapped Fermi gas are characterized by larger fluctuations in energy and particle density as is revealed in the corresponding thermodynamics susceptibilities.

scholarly journals Asymptotic orbits in a free Fermi gas

1973 ◽  
Vol 33 (1) ◽  
pp. 1-22 ◽  
Author(s):  
R. Haag ◽  
R. V. Kadison ◽  
D. Kastler
Keyword(s):  
Fermi Gas ◽  
Free Fermi ◽  
Asymptotic Orbits

scholarly journals Mapping out spin and particle conductances in a quantum point contact

2016 ◽  
Vol 113 (29) ◽  
pp. 8144-8149 ◽  
Author(s):  
Sebastian Krinner ◽  
Martin Lebrat ◽  
Dominik Husmann ◽  
Charles Grenier ◽  
Jean-Philippe Brantut ◽  
...  
Keyword(s):  
Chemical Potential ◽  
Weak Interactions ◽  
Point Contact ◽  
Single Mode ◽  
Fermi Gas ◽  
Strong Interactions ◽  
Quantum Point Contact ◽  
Quantum Point ◽  
A Charge ◽  
Spin Conductance

We study particle and spin transport in a single-mode quantum point contact, using a charge neutral, quantum degenerate Fermi gas with tunable, attractive interactions. This yields the spin and particle conductance of the point contact as a function of chemical potential or confinement. The measurements cover a regime from weak attraction, where quantized conductance is observed, to the resonantly interacting superfluid. Spin conductance exhibits a broad maximum when varying the chemical potential at moderate interactions, which signals the emergence of Cooper pairing. In contrast, the particle conductance is unexpectedly enhanced even before the gas is expected to turn into a superfluid, continuously rising from the plateau at 1/h for weak interactions to plateau-like features at nonuniversal values as high as 4/h for intermediate interactions. For strong interactions, the particle conductance plateaus disappear and the spin conductance gets suppressed, confirming the spin-insulating character of a superfluid. Our observations document the breakdown of universal conductance quantization as many-body correlations appear. The observed anomalous quantization challenges a Fermi liquid description of the normal phase, shedding new light on the nature of the strongly attractive Fermi gas.

THERMOSTATISTIC PROPERTIES OF A RELATIVISTIC FERMI GAS

2010 ◽  
Vol 24 (29) ◽  
pp. 5783-5792 ◽  
Author(s):  
SHUKUAN CAI ◽  
GUOZHEN SU ◽  
JINCAN CHEN
Keyword(s):  
Heat Capacity ◽  
Pair Production ◽  
Low Temperatures ◽  
Chemical Potential ◽  
Dimensional Space ◽  
Average Distance ◽  
Relativistic Effects ◽  
Fermi Gas ◽  
Compton Wavelength ◽  
Relativistic Fermi

Thermodynamic properties of a relativistic Fermi gas in any dimensional space are studied, in which the influence of particle–antiparticle pair production is taken into account. It is shown that relativistic effects cannot be ignored even at very low temperatures for the system with the Compton wavelength of a particle comparable with the average distance between particles. The pair production results in some novel characteristics, which include the asymptotic behavior of the chemical potential and the rapid increase in the heat capacity with temperature in the high temperature regions, etc.

Chemical potential of the low-dimensional multisubband Fermi gas

2010 ◽  
Vol 22 (46) ◽  
pp. 465304 ◽  
Author(s):  
Elena S Sokolova ◽  
Sviatoslav S Sokolov ◽  
Nelson Studart
Keyword(s):  
Chemical Potential ◽  
Fermi Gas ◽  
Low Dimensional

scholarly journals A model study on superfluidity of a unitary Fermi gas of atoms interacting with a finite-ranged potential

2021 ◽  
Author(s):  
Subhanka Mal ◽  
Bimalendu Deb
Keyword(s):  
Quantum Monte Carlo ◽  
Chemical Potential ◽  
Scattering Length ◽  
Mean Field Theory ◽  
Mean Field ◽  
Fermi Gas ◽  
Range Limit ◽  
Contact Potential ◽  
Zero Range ◽  
Unitary Fermi Gas

Abstract We calculate Bardeen-Cooper-Schrieffer (BCS) state of a unitary Fermi gas of atoms interacting with the finite-ranged Jost-Kohn potential which has been recently shown to account for the resonant interactions [2019 {\rm J. Phys. B: At. Mol. Opt. Phys.} {\bf 52}, 165004]. Using exact scattering solution of the potential, we derive two-body ${\mathbf T}$-matrix element which is employed to construct the BCS Hamiltonian in momentum space. We present results on the energy- and range-dependence of the pairing gap and superfluid density and the range-dependence of the chemical potential for a wide variation of the scattering length including the \textcolor{red}{unitary} regime. In the zero range limit our calculated gap at the Fermi energy is found to be nearly equal to that calculated \textcolor{red}{in mean-field theory with contact potential}. The mean gap averaged over the full width at half maximum of the gap function in the zero range and unitary limits is found to be $0.42 E_F$ which is quite close to the recent result of the quantum Monte Carlo simulation [2018 {\rm Phys. Rev.A} {\bf 97}, 013601]. The chemical potential in the zero range limit also agrees well with that for the contact potential.

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