Heat capacity of electrons

2021 ◽  
pp. 345-352
Author(s):  
Geoffrey Brooker
Keyword(s):  
Heat Capacity ◽  
Fermi Surface ◽  
Density Of States ◽  
Low Temperatures ◽  
Conduction Electrons ◽  
More Care

“Heat capacity of electrons” is concerned with the heat capacity of conduction electrons in a metal. The heat capacity is usually of most interest at low temperatures. It is proportional to the density of states for electrons at the Fermi surface. The calculation showing this requires more care than is usually given.

The specific heat of metals and alloys at low temperatures

1957 ◽  
Vol 240 (1222) ◽  
pp. 321-332 ◽  
Keyword(s):  
Fermi Surface ◽  
Specific Heat ◽  
Liquid Helium ◽  
Brillouin Zone ◽  
Low Temperatures ◽  
Metals And Alloys ◽  
Thermal Excitation ◽  
Electronic Specific Heat ◽  
Conduction Electrons ◽  
Elastic Shear

The effect of thermal excitation of the conduction electrons on the elastic shear constants is investigated in a metal in which the Fermi surface lies close to the Brillouin-zone boundaries. It is shown that in these circumstances electron-lattice interaction leads to an addi­tional term in the specific heat, linear in the temperature in the liquid-helium range, which, therefore, augments the pure electronic specific heat. The variation in magnitude of this linear term is considered in the α-brasses. It is suggested that this is the physical effect underlying the peculiarities of the ‘electronic’ specific heat of these alloys.

Electronic heat capacity of some vanadium compounds at low temperatures

2021 ◽  
pp. 8-12
Author(s):  
Vad.I. Surikov ◽  
◽  
Val.I. Surikov ◽  
Y.V. Kuznetsova ◽  
N.A. Semenyuk ◽  
...  
Keyword(s):  
Heat Capacity ◽  
Phase Transitions ◽  
Density Of States ◽  
Low Temperatures ◽  
Molar Heat Capacity ◽  
Constant Pressure ◽  
State Density ◽  
Electronic Heat Capacity ◽  
Vanadium Compounds ◽  
Electronic Heat

The paper presents the results of a study of the temperature dependence of molar heat capacity at constant pressure in the range (from 5 to 300 K) for vanadium-based materials. For all the studied materials, the values of the density of States near the Fermi level are calculated. It was found that for V3Si and V3Ge materials, the values of the state density μ( E ) correlate with the transition temperatures to the superconducting state. For materials V2O3 and V1.973Me0.027O3 (Me - Al, Fe, Cr), it was found that the temperatures of metal-dielectric phase transitions decrease with increasing values of the density of States.

c-Axis Resistivity Due to Transport of Fermionic Pairs in the Cuprates

1998 ◽  
Vol 12 (06n07) ◽  
pp. 225-230
Author(s):  
Manas Sardar
Keyword(s):  
Electron Transport ◽  
Fermi Surface ◽  
Temperature Dependence ◽  
Carrier Concentration ◽  
Density Of States ◽  
Low Temperatures ◽  
Single Electron ◽  
Acoustic Phonons ◽  
Single Electron Transport

With the assumption of complete incoherence of single electron transport along the c-axis, it is argued that it takes place by coherent hopping of singlet pairs that are fermionic in character. This will lead to a correction to the 1/Tc-axis resistivity calculated by Anderson et al.6 The c-axis resistivity coming from this extra channel of transport is shown to have the same temperature dependence as the inplane resistivity (linear in T) and mildly sensitive to the inplane carrier concentration through the modification of the density of states at the fermi surface. It is argued that the resistivity due to transport in this extra channel will be very sensitive to the c-axis disorder and show an upturn at low temperatures due to c-axis disorder and scattering by acoustic phonons.

The relaxation time of conduction electrons in the noble met

1963 ◽  
Vol 275 (1361) ◽  
pp. 209-217 ◽  
Keyword(s):  
Electrical Conductivity ◽  
Relaxation Time ◽  
Boltzmann Equation ◽  
Fermi Surface ◽  
Low Temperatures ◽  
Lattice Vibrations ◽  
Thermo Electric ◽  
Multiply Connected ◽  
Conduction Electrons ◽  
Experimental Values

The Boltzmann equation for scattering by impurities and lattice vibrations is solved numerically for a metal having a multiply-connected Fermi surface. It is found that the relaxation time for scattering by lattice vibrations at high temperatures or by impurities is approximately constant over the Fermi surface. For scattering by lattice vibrations at low temperatures the relaxation time is highly anisotropic. These results are consistent with the experimental values of the electrical conductivity but cannot predict a positive thermo ­ electric power.

Correlativity and the origin of the T 2 difference between the Bloch–Grüneisen law and the Debye law

2004 ◽  
Vol 82 (8) ◽  
pp. 585-592 ◽  
Author(s):  
Jin -Feng Wang ◽  
Cheng -Ju Zhang ◽  
Jin -Fan Hu
Keyword(s):  
Heat Capacity ◽  
Electrical Resistivity ◽  
Fermi Surface ◽  
Statistical Model ◽  
Low Temperatures ◽  
Simplified Model ◽  
Principal Point ◽  
The Mean ◽  
Theoretical Analyses ◽  
Theoretical Results

To find the origin of the T 2 difference between the Bloch–Grüneisen law and the Debye law, a resistivity statistical model for ideal metals is presented. In the model, the system is regarded as a phonon system in which all phonons have the same momentum value, i.e., the mean momentum. The principal point of the simplified model is that the electrons located at the Fermi surface are scattered by these mean-momentum phonons. It is found that the electrical resistivity of an ideal metal is directly proportional to the phonon concentration and the square of the phonon mean momentum, which first related the electrical resistivity to the phonon parameters. The theoretical results from the model are consistent with experimental observations that the electrical resistivity is directly proportional to temperature T at high temperatures, and to T 5 at very low temperatures, naturally, this is consistent with the Bloch–Grüneisen law. It is found by theoretical analyses that the heat capacity of a solid at very low temperatures is only proportional to the phonon concentration. Therefore, the contribution of the square of phonon mean momentum to the electrical resistivity brings about the T 2 difference between the Bloch–Grüneisen law and the Debye law. PACS Nos.: 72.10.Di, 65.40.Ba

ChemInform Abstract: THE HEAT CAPACITY OF MANGANESE AND ZINC HEXAFLUOROSILICATES AT LOW TEMPERATURES

1985 ◽  
Vol 16 (46) ◽  
Author(s):  
K. E. HALSTEAD ◽  
D. J. SEDDON ◽  
L. A. K. STAVELEY ◽  
R. D. WEIR
Keyword(s):  
Heat Capacity ◽  
Low Temperatures

Fermi surface and electronic density of states of molybdenum

1974 ◽  
Vol 10 (12) ◽  
pp. 4889-4896 ◽  
Author(s):  
D. D. Koelling ◽  
F. M. Mueller ◽  
A. J. Arko ◽  
J. B. Ketterson
Keyword(s):  
Fermi Surface ◽  
Density Of States ◽  
Electronic Density ◽  
Electronic Density Of States

scholarly journals Thermal Properties of Stabilized Zirconia at Low Temperatures

1985 ◽  
Vol 38 (4) ◽  
pp. 617 ◽  
Author(s):  
JG Collins ◽  
SJ Collocott ◽  
GK White
Keyword(s):  
Heat Capacity ◽  
Thermal Expansion ◽  
Thermal Properties ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Low Temperatures ◽  
Linear Thermal Expansion Coefficient ◽  
Linear Thermal Expansion ◽  
Stabilized Zirconia ◽  
Elastic Data

The linear thermal expansion coefficient a from 2 to 100 K and heat capacity per gram cp from 0�3 to 30 K are reported for fully-stabilized zirconia containing a nominal 16 wt.% (9 mol.%) of yttria. The heat capacity below 7 K has been analysed into a linear (tunnelling?) term, a Schottky term centred at 1�2 K, a Debye term (e~ = 540 K), and a small T5 contribution. The expansion coefficient is roughly proportional to T from 5 to 20 K and gives a limiting lattice Griineisen parameter 'Yo ::::: 5, which agrees with that calculated from elastic data.

Heat Capacity of ThU Alloys at Low Temperatures

1974 ◽  
pp. 585-589 ◽  
Author(s):  
C. A. Luengo ◽  
J. M. Cotignola ◽  
J. Sereni ◽  
A. R. Sweedler ◽  
M. B. Maple
Keyword(s):  
Heat Capacity ◽  
Low Temperatures

scholarly journals Heat capacity of URu2−xOsxSi2 at low temperatures

2022 ◽  
Vol 105 (4) ◽  
Author(s):  
D. L. Kunwar ◽  
S. R. Panday ◽  
Y. Deng ◽  
S. Ran ◽  
R. E. Baumbach ◽  
...  
Keyword(s):  
Heat Capacity ◽  
Low Temperatures
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