Few-body systems in condensed matter physics

Abstract

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 methods for description of two- three- and four-body excitonic complexes such as an exciton, trion and biexciton in three-, two- and one-dimensional configuration spaces in various types of materials. We discuss and analyze the contributions made over the years to understanding how the reduction of dimensionality affects the binding energy of excitons, trions and biexcitons in bulk and low dimensional semiconductors and address the challenges that still remain.

24 pages, 5 figures

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Cited by in corpus (22)

• Optical Properties of Anisotropic Excitons in Phosphorene
• Orbital-collaborative Charge Density Wave in Monolayer VTe2
• Magnetoexcitons in transition-metal dichalcogenides monolayers, bilayers, and van der Waals heterostructures
• Interlayer exciton-polaron in atomically thin semiconductors
• Crystal Phases of Charged Interlayer Excitons in van der Waals Heterostructures
• Excited-State Trions in Two Dimensional Materials
• Effects of parallel electric and magnetic fields on Rydberg excitons in buckled two-dimensional materials
• Strongly confined 2D parabolic quantum dot: Biexciton or Quadron?
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• Charge-dipole and dipole-dipole interactions in two-dimensional materials
• Energy states of Rydberg excitons in finite crystals: From weak to strong confinement
• Trion ground state energy: simple results
• Efficient calculation of trion energies in monolayer transition metal dichalcogenides
• On superfluidity of indirect excitons in transition metals trichalcogenides van der Waals heterostructures
• Electron-hole superfluidity controlled by a periodic potential
• Electron pairs bound by the spin-orbit interaction in 2D gated Rashba materials with two-band spectrum
• Electron Interactions in Rashba Materials
• Bound electron pairs formed by the spin-orbit interaction in 2D gated structures
• Quantum Monte Carlo study of three-dimensional Coulomb complexes: trions and biexcitons; hydrogen molecules and ions; helium hydride cations; and positronic and muonic complexes
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Efimovian states of three charged particles
• Biexciton and Quadron in Self-assembled Quantum Dots