Two-dimensional pair-interacting hole gas thermodynamics: Exactly solvable Moshinsky model for lens-shaped quantum dots
M.A. Mkrtchyan,
Y.S. Mamasakhlisov,
D.B. Hayrapetyan,
S. Baskoutas,
H.A. Sarkisyan
Affiliations
M.A. Mkrtchyan
Institute of Applied Problems of Physics NAS RA, 25 Nersisyan St., Yerevan, 0014, Armenia; Russian-Armenian University, 123 Hovsep Emin St., Yerevan, 0051, Armenia
Y.S. Mamasakhlisov
Institute of Applied Problems of Physics NAS RA, 25 Nersisyan St., Yerevan, 0014, Armenia; Yerevan State University, 1 A. Manoogian St., Yerevan, 0025, Armenia
D.B. Hayrapetyan
Russian-Armenian University, 123 Hovsep Emin St., Yerevan, 0051, Armenia; Institute of Chemical Physics after A.B. Nalbandyan NAS RA, 5/2 Paruyr Sevak St., Yerevan, 0014, Armenia
S. Baskoutas
University of Patras, 26504 Rio St., Patras, Greece
H.A. Sarkisyan
Institute of Applied Problems of Physics NAS RA, 25 Nersisyan St., Yerevan, 0014, Armenia; Russian-Armenian University, 123 Hovsep Emin St., Yerevan, 0051, Armenia; Corresponding author.
The thermodynamic characteristics of a pair-interacting hole gas localized in a Ge/Si lens-shaped quantum dot are studied. The pair-interaction potential is modeled by the oscillator function, which depends on the distance between the particles. The analytical form of the spectra makes it possible to calculate the partition function in Boltzmann approximation. Based on the partition function mean and free energies, heat capacity and entropy of the interacting gas are calculated. Interaction between particles substantially changes the behavior of the thermodynamic properties in comparison with the non-interacting gas case. In particular, the gas undergoes a first-order phase transition driven by the height of the upper (or lower) section of QD, resulting in a changing symmetry of the lens-shaped QD.
