Nonanalytic corrections to the specific heat and susceptibility of a two-dimensional Fermi liquid without Galilean invariance

2006 ◽  
Vol 74 (11) ◽  
Author(s):  
Andrey V. Chubukov ◽  
Andrew J. Millis
Keyword(s):  
Specific Heat ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Galilean Invariance

scholarly journals Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja
Keyword(s):  
Fermi Surface ◽  
Coulomb Interaction ◽  
Interaction Potential ◽  
Fermi Liquid ◽  
Energy State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.

scholarly journals Interaction-Induced Metallicity in a Two-Dimensional Disordered Non-Fermi Liquid

2020 ◽  
Vol 125 (25) ◽  
Author(s):  
P. A. Nosov ◽  
I. S. Burmistrov ◽  
S. Raghu
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional

scholarly journals A Two Dimensional Fermi Liquid. Part 3: The Fermi Surface

2004 ◽  
Vol 247 (1) ◽  
pp. 113-177 ◽  
Author(s):  
Joel Feldman ◽  
Horst Kn�rrer ◽  
Eugene Trubowitz
Keyword(s):  
Fermi Surface ◽  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Part

Friedel oscillations in a two dimensional Fermi liquid

2003 ◽  
Vol 127 (12) ◽  
pp. 789-791 ◽  
Author(s):  
Gabriele F. Giuliani ◽  
George E. Simion
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional ◽  
Friedel Oscillations

Specific heat of ordered and isotopically disordered lattices

1978 ◽  
Vol 56 (10) ◽  
pp. 1390-1394
Author(s):  
K. P. Srivastava
Keyword(s):  
Specific Heat ◽  
Low Temperatures ◽  
Numerical Study ◽  
Three Dimensional ◽  
Constant Volume ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Appreciable Difference ◽  
Substantial Change ◽  
Neighbour Interaction

An extensive numerical study on specific heat at constant volume (Cv) for ordered and isotopically disordered lattices has been made. Cv at various temperatures for ordered and disordered linear and two-dimensional lattices have been compared and no appreciable difference in Cv between these two structures has been observed. Effect of concentration of light atoms on Cv for three-dimensional isotopically disordered lattices has also been shown.In spite of taking next-nearest-neighbour interaction into account, no substantial change in Cv between the ordered and isotopically disordered linear lattices has been found. It is shown that the low lying modes contribute substantially at low temperatures.

Analysis of the Impact of Specific Heat Ratio on Two-Dimensional Low Maher Number Nozzle Design

2014 ◽  
Vol 590 ◽  
pp. 546-550
Author(s):  
Zhi Qiang Fan ◽  
Hai Bo Yang ◽  
Fei Zhao ◽  
Rong Zhu ◽  
Dong Bai Sun
Keyword(s):  
Specific Heat ◽  
Supersonic Nozzle ◽  
Two Dimensional ◽  
Nozzle Design ◽  
Scheme Design ◽  
Specific Heat Ratio ◽  
Nozzle Contour ◽  
Ratio Change ◽  
Change Impact ◽  
The Impact

The practical requirements of the project the nozzle entrance temperature is high, the gas specific heat ratio varies greatly, so it must consider the specific heat ratio change impact on two-dimensional nozzle contour design. Divided into consideration specific heat ratio change and not consider two kinds of scheme design of 1.4Ma nozzle profile and build the model using the arc line method, numerical simulation is carried out through the CFD software Fluent, analysis of two kinds of design scheme comparison. The results show that, in the supersonic nozzle at low Maher numbers, two schemes of nozzle design profile similarity, parameters change little flow tube, export the Maher number and the flow quality can meet the design requirements, proof of specific heat ratio has little effect on the design results in the design of the nozzle under the condition of low Maher number.

scholarly journals Specific heat of two-dimensional diluted magnets

1998 ◽  
Vol 259 (3-4) ◽  
pp. 388-396 ◽  
Author(s):  
W. Selke ◽  
L.N. Shchur ◽  
O.A. Vasilyev
Keyword(s):  
Specific Heat ◽  
Two Dimensional

Fermi-liquid theory in the low-density two-dimensional Hubbard model

1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara
Keyword(s):  
Hubbard Model ◽  
Fermi Liquid ◽  
Low Density ◽  
Two Dimensional ◽  
Fermi Liquid Theory ◽  
Liquid Theory

Magnetoquantum de Haas-van Alphen oscillations in spin-split two-dimensional Fermi liquid

2001 ◽  
Vol 23 (3) ◽  
pp. 283-296 ◽  
Author(s):  
M.A. Itskovsky
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional

scholarly journals Two-dimensional Fermi liquid dynamics with density-density and quadrupolar interactions

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
Rui Aquino ◽  
Daniel G. Barci
Keyword(s):  
Fermi Liquid ◽  
Two Dimensional ◽  
Liquid Dynamics
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