Few-body systems in condensed matter physics

RY Kezerashvili - Few-Body Systems, 2019 - Springer
This review focuses on the studies and computations of few-body systems of electrons and
holes in condensed matter physics. We analyze and illustrate the application of a variety of …

Trions in two-dimensional monolayers within the hyperspherical harmonics method: Application to transition metal dichalcogenides

RY Kezerashvili, SM Tsiklauri, A Dublin - Physical Review B, 2024 - APS
We develop the theoretical formalism and study the formation of valley trions in two-
dimensional monolayers within the framework of a nonrelativistic potential model using the …

Nonlinear optical properties of a three-electron quantum dot with account of the Rashba spin–orbit interaction

H Hassanabadi, H Rahimov, L Lu, C Wang - Journal of luminescence, 2012 - Elsevier
In this study, a detailed investigation of the nonlinear optical properties such as optical
absorption and refractive index change associated with intersubband transitions in a three …

Trions in monolayer transition metal dichalcogenides within the hyperspherical harmonics method

RY Kezerashvili, SM Tsiklauri, A Dublin - arXiv preprint arXiv:2310.19196, 2023 - arxiv.org
We develop the theoretical formalism and study the formation of valley trions in transition
metal dichalcogenide (TMDC) monolayers within the framework of a non-relativistic potential …

Quadratic and coulomb terms for the spectrum of a three-electron quantum dot

H Hassanabadi, M Hamzavi, S Zarrinkamar… - Few-Body Systems, 2010 - Springer
We consider the Hamiltonian of a three-electron quantum dot composed of quadratic plus
Coulomb terms and calculate the system's spectra. We next apply the hyperradius to reduce …

Energy levels of a particle confined in an ellipsoidal potential well

T Kereselidze, T Tchelidze, RY Kezerashvili - Physica E: Low-dimensional …, 2015 - Elsevier
The Schrödinger equation is solved for a particle confined within the ellipsoidal potential
well using the perturbation theory and the Hamiltonian diagonalization method. The explicit …

Three-electron quantum dot in a magnetic field

RY Kezerashvili, LL Margolin, SM Tsiklauri - Few-Body Systems, 2008 - Springer
Three electrons confined by a parabolic well in a two-dimensional quantum dot and
interacting via a logarithmic potential in a magnetic field are treated in the framework of the …

Trions in coupled quantum wells and Wigner crystallization

OL Berman, R YA. KEZERASHVILI… - International Journal of …, 2014 - World Scientific
We consider a restricted three-body problem, where two interacted particles are located in a
two-dimensional (2D) plane and interact with the third one located in the parallel spatially …

Lowest energy states of three identical charged particles in a two-dimensional harmonic trap

M Braun, OI Kartavtsev - Physics Letters A, 2004 - Elsevier
A system of three identical charged particles in a two-dimensional harmonic well produced
by an external potential and a transverse magnetic field is treated in the framework of the …

An alternative method for spectrum of a three-electron-quantum dot

H Hassanabadi, H Rahimov - Physica B: Condensed Matter, 2011 - Elsevier
We consider the Hamiltonian of a three-electron-quantum dot composed of parabolic
confinement plus Coulomb terms. Instead of using the Jacobi coordinates, we apply a …