Diamagnetism versus paramagnetism of charged ideal spin-1/2 fermions in a harmonic trap under a uniform magnetic field

2019 ◽  
Vol 33 (06) ◽  
pp. 1950026
Author(s):  
Yushan Li ◽  
Hongyan Liu
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Weak Magnetic Field ◽  
Uniform Magnetic Field ◽  
Critical Values ◽  
Spin Factor ◽  
Paramagnetic Region ◽  
Variable Spin ◽  
Spinless Case

Magnetic properties of harmonically trapped charged ideal spin-1/2 fermions in a uniform magnetic field are studied. It is shown that the magnetism of charged spin-1/2 fermions can be explained by a competition between the diamagnetic and paramagnetic effects, where a variable spin factor is introduced to describe the strength of paramagnetic effect. As the spin factor increases, a crossover from diamagnetic region to paramagnetic region appears. Moreover, the critical values of spin factor are obtained at low-temperature and under weak magnetic field, respectively. Spin-1/2 fermions display distinct magnetic behaviors from spinless case.

Thermodynamic properties of charged ideal spin-1 bosons in a trap under a magnetic field

2014 ◽  
Vol 28 (26) ◽  
pp. 1450206 ◽  
Author(s):  
Yushan Li
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
External Magnetic Field ◽  
Thermodynamic Properties ◽  
Bose Gases ◽  
Spin Factor ◽  
Classical Approximation ◽  
Spinless Case

Thermodynamics of trapped charged ideal spin-1 bosons confined in a magnetic field are investigated within semi-classical approximation and truncated-summation approach. It is shown that the critical temperature increases slightly at the first, and then decreases slowly with increasing external magnetic field. Charged spin-1 Bose gases present a crossover from diamagnetism to paramagnetism as the spin factor increases. Charged spin-1 Bose gases exhibit distinct thermodynamic behaviors from the spinless case.

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals A Comprehensive Study of the Thermal and Magnetic Properties of Two-Harmonically Interacting Electrons Confined in a Parabolic GaAs Quantum Dot in a Magnetic Field

2019 ◽  
Vol 11 (3) ◽  
pp. 76 ◽  
Author(s):  
A. A. Shukri ◽  
F. S. Nammas
Keyword(s):  
Magnetic Field ◽  
Heat Capacity ◽  
Magnetic Properties ◽  
Quantum Dot ◽  
Electron Interaction ◽  
Double Peak Structure ◽  
Peak Structure ◽  
Interacting Electrons ◽  
Gaas Quantum Dot ◽  
Spinless Case

The thermal and magnetic properties of a parabolic GaAs quantum dot for two-Harmonically interacting electrons when it exposed to an external magnetic field, taking into account the spin-Zeeman energy are investigated using the canonical ensemble approach. The effect of spin on these properties is also investigated. With the possibility of a basic and physically sensible model of electron-electron interaction, the issue is precisely soluble. We found a Schottky-like anomaly in the heat capacity at low temperature, while it saturates to the 4kB value as the temperature increases. Also it is noted that entropy enhances with temperature as expected. However as a function of a magnetic field, a peak structure is observed in heat capacity at very low values of magnetic field, while it saturates to the 2kB value as magnetic field increases. Also we noticed that these peaks are not presented in the spinless case. Moreover magnetic field does not show a significant effect on the entropy at high temperatures, but at relatively lower temperatures, the entropy shows a monotonic increase with magnetic field. As a function of the Lande g* factor, we found a local minima and a double peak-structure in the susceptibility and in the heat capacity at g*=0. It is demonstrated that the favored state for both magnetization and susceptibility is the diamagnetic state. The significant effect of the spin on the magnetic properties of quantum dot is seen at low values of temperature and magnetic field. Moreover, our results showed a very good agreement with reported previous works.

Magnetic properties of Apollo 12 lunar samples

1971 ◽  
Vol 325 (1561) ◽  
pp. 157-174 ◽  
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Room Temperature ◽  
Crystalline Rock ◽  
Crystalline Rocks ◽  
The Moon ◽  
Native Iron ◽  
Two Samples ◽  
Lunar Samples

The magnetic properties of crystalline rock and fines returned by the Apollo 12 mission have been measured. The fines contain at least 0.7% by mass of native iron, mainly in the super- paramagnetic form at room temperature. Native iron is present in the crystalline rock but in a much lower concentration. The paramagnetic minerals, ilmenite and ulvöspinel, are present. Some evidence has been obtained that magnetite is present in the crystalline rock, less than 0.02% by mass. It has not yet been established whether it is indigenous to the rock. Two samples exhibit a change in n.r.m. at low temperature consistent with this n.r.m. being carried by magnetite, but these investigations are not yet complete. The crystalline rocks possess an n.r.m. of intermediate stability: there is evidence for two components of magnetization, a weak and rather stable one, and a less stable but stronger component. The former indicates the presence of a magnetic field on the moon at the time of formation of the rocks. An external origin seems unlikely: thus the Moon possessed a magnetic field of internal origin 3400 Ma§ ago which has since decayed.

Thermodynamics of CeNiSn at low temperature and in weak magnetic field

1999 ◽  
Vol 259-261 ◽  
pp. 296-297
Author(s):  
K.A. Kikoin ◽  
M.N. Kiselev ◽  
A.S. Mishchenko ◽  
A. de Visser
Keyword(s):  
Magnetic Field ◽  
Low Temperature ◽  
Weak Magnetic Field

scholarly journals Магнитные свойства и природа магнитного состояния интеркалированных соединений Cr-=SUB=-x-=/SUB=-MoSe-=SUB=-2-=/SUB=-

2019 ◽  
Vol 61 (3) ◽  
pp. 472
Author(s):  
В.Г. Плещев ◽  
Н.В. Селезнева
Keyword(s):  
Magnetic Properties ◽  
Magnetic Susceptibility ◽  
Low Temperature ◽  
Magnetic Moments ◽  
Ferromagnetic State ◽  
Paramagnetic Region ◽  
Temperature Dependences ◽  
Ferromagnetic Interactions ◽  
Curie Temperatures ◽  
Hysteresis Phenomena

AbstractThis is a pioneering work on the synthesis of molybdenum diselenides intercalated by chromium atoms. Their magnetic properties are studied at various intercalant concentrations, temperatures, and magnetic fields. The temperature dependences of effective magnetic moments and positive paramagnetic Curie temperatures in the paramagnetic region evidence the feasible ferromagnetic interactions between intercalated atoms. The existence of low-temperature ferromagnetic state in Cr_ x МоSe_2 is confirmed by hysteresis phenomena in temperature and field dependences of magnetization and magnetic susceptibility.

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