The ground state description of the Fröhlich polaron in a symmetric quantum dot within the framework of LLP-H approach

Bipolaron formation in 1D–3D quantum dots: a lattice quantum Monte Carlo approach

“…The reduction of the critical coupling for the existence of a small polaron due to confinement complies with the growth of the strong-coupling region at the expense of the weak-coupling region in the phase diagram pointed out in [23]. Furthermore, we observe a similar dependence of the influence of confinement on dimensionality as for the continuum model [22] (in this work the effective mass was considered). Comparing the values of the kinetic energy at λ = 1, we find for the ratio E kin (K)/E kin (K = 0) = 0.91 (K/t = 0.1), 0.66 (K/t = 1), and 0.53 (K/t = 2) in 1D, and 0.98, 0.82, and 0.72 in 2D.…”

“…The problem of polaron formation in a quantum dot has received a lot of attention in the past (see [20][21][22][23][24] and references therein). From this work, the general conclusion is that confinement enhances the tendency of an electron to undergo a crossover to a (small) polaron so that heavy polaronic quasiparticles may be realised experimentally even in the weak or intermediate electron-phonon coupling regime.…”

The Optical Polaron in Spherical Quantum Dot Confinement

“…The effect of the electronphonon interaction on the energy levels and their variations versus the size of the dots is studied using different approaches. Using the LLP-H approach Satyabrata Sahoo [10,11], has calculated the energy of the ground state and the first two excited states. He concluded that the polaronic correction is more pronounced as the size of the quantum dot is decreased.…”

Quantum Monte Carlo results for bipolaron stability in quantum dots

“…4,5 Whereas polaron formation in quantum dots is by now quite well understood (see Refs. 6,7,8,9,10 and references therein), conflicting results exist on the stability of bipolarons. 3,8,10,11,12,13,14 These calculations are based on variational treatments, with several works employing strongcoupling or adiabatic approximations.…”