Temperature dependence of the properties of strong-coupling bipolaron in a quantum dot

Effects of Thermal Lattice Vibration on the Effective Potential of Weak-Coupling Bipolaron in a Quantum Dot

“…This result is contrary to the dependence of the induced potential of strong-coupling bipolaron on the temperature parameter in Ref. [15]. When γ > 3.0, |V e-LO | increases slowly with increasing γ and tends to a definite value, namely, the change of |V e-LO | with the temperature is not obvious at lower temperature; but then |V e-LO | rapidly increases with increasing γ, when γ < 3.0, and the increasing magnitude of |V e-LO | increases with increasing the distance r of electrons.…”

“…We consider two electrons bound in a parabolic QD within the effective mass approximation, the Frolich Hamiltonian of two electron-longitudinal optical (LO) phonon-interaction systems in the QD is written as [15]…”

“…( 1) has the same meaning as that in Ref. [15]. First, based on the three-dimensional polaron theory, the Huybrechts' linear combination operator [16] is introduced into the centre-of-mass coordinate and momentum of the bipolaron.…”

“…[16−17] |Φ = |ψ(r) |{n j } |{n k } is the trial wave function of the system at the finite temperature. [15] The variational extreme value of H to f k , f * k , and λ can give the upper limit of the ground-state energy of the bipolaron.…”

“…In the recent paper of the author, the temperature dependence of the properties of strongcoupling bipolarons in a QD was investigated. [15] In this paper, based on the Huybrechts' linear-combination operator, the effects of thermal lattice vibration on of the state of the weak-coupling bipolaron in a QD are studied systematically by using the Lee-Low-Pines (LLP)variational method and the quantum statistical theory.…”