Thermodynamic Properties of a Double Ring-Shaped Quantum Dot at Low and High Temperatures

Khordad, R.; Sedehi, H. R. Rastegar

doi:10.1007/s10909-017-1831-x

Cited by 75 publications

(19 citation statements)

References 40 publications

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“…The thermodynamic properties of the improved Tietz potential was calculated for gaseous substances [24] using the Poisson summation formula [25]. Under the influence of external magnetic and electric fields, the thermodynamic properties of gallium arsenide (GaAs) double ring-shaped quantum dot have been investigated [26] via the canonical ensemble approach. A closed-form vibrational partition function and other thermodynamic functions of q-deformed Morse potential have been studied in one-dimension [27].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of improved deformed exponential-type potential (IDEP) for some diatomic molecules

et al. 2020

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Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of improved deformed exponential-type potential (IDEP) for some diatomic molecules

et al. 2020

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“…Other reports of thermodynamic properties can be found in Refs. [ 15 , 16 , 17 , 18 , 19 , 20 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

Dirac equation and thermodynamic properties with the Modified Kratzer potential

Onyenegecha¹,

Njoku²,

Omame³

et al. 2021

Heliyon

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In this work, we present the analytical solutions of Dirac equation for modified Kratzer potential in the pseudospin and spin symmetry limits using the formula method. The energies of the pseudospin and spin symmetry limit are obtained analytically and numerically. The numerical values are compared with those obtained in literature. Furthermore, we study the thermodynamic properties of some diatomic molecules within the nonrelativistic spin symmetry limits.

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“…Among the physical properties, there are some studies on thermodynamic properties of different systems [25][26][27][28][29][30][31][32][33][34]. Tan et al [35] have studied the magnetization and persistent currents in mesoscopic rings and dots by use of an exactly soluble model to calculate the structures of large number of electrons over a wide range of magnetic field strengths.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of a charged particle in non-uniform magnetic field

2021

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We solve the Schrödinger equation for a charged particle in the non-uniform magnetic field by using the Nikiforov-Uvarov method. We find the energy spectrum and the wave function, and present an explicit relation for the partition function. We give analytical expressions for the thermodynamic properties such as mean energy and magnetic susceptibility, and analyze the entropy, free energy and specific heat of this system numerically. It is concluded that the specific heat and magnetic susceptibility increase with external magnetic field strength and different values of the non-uniformity parameter, α, in the low temperature region, while the mentioned quantities are decreased in high temperature regions due to increasing the occupied levels at these regions. The non-uniformity parameter has the same effect with a constant value of the magnetic field on the behavior of thermodynamic properties.On the other hand, the results show that transition from positive to negative magnetic susceptibility depends on the values of non-uniformity parameter in the constant external magnetic field.

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Thermodynamic Properties of a Double Ring-Shaped Quantum Dot at Low and High Temperatures

Cited by 75 publications

References 40 publications

Thermodynamic properties of improved deformed exponential-type potential (IDEP) for some diatomic molecules

Thermodynamic properties of improved deformed exponential-type potential (IDEP) for some diatomic molecules

Dirac equation and thermodynamic properties with the Modified Kratzer potential

Thermodynamic properties of a charged particle in non-uniform magnetic field

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