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We calculate cross sections for low energy elastic exciton-exciton scattering within the effective mass approximation. Unlike previous theoretical approaches, we give a complete, non-perturbative treatment of the four-particle scattering…

Condensed Matter · Physics 2010-07-28 J. Shumway , D. M. Ceperley

A configuration space method is developed for binding energy calculations of the lowest energy exciton complexes (trion, biexciton) in spatially confined quasi-1D semiconductor nanostructures such as nanowires and nanotubes. Quite…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 I. V. Bondarev

We develop a consistent theory of the interlayer exciton-polaron formed in atomically-thin bilayers. Coulomb attraction between an electron and a hole situated in the different layers results in their flexural deformation and provides an…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Z. A. Iakovlev , M. A. Semina , M. M. Glazov , E. Ya. Sherman

Equilibrium properties of electrons in double-heterojunction AlGaAs/GaAs\AlGaAs structures are investigated theoretically, using a full self-consistent numerical method. The transition from single to bilayer electron systems is discussed…

Condensed Matter · Physics 2016-08-31 L. Smrcka , T. Jungwirth

Neutral molecules with sufficiently large dipole moments can bind electrons in diffuse nonvalence orbitals with most of their charge density far from the nuclei, forming so-called dipole-bound anions. Because long-range correlation effects…

Chemical Physics · Physics 2018-10-30 Hongxia Hao , James Shee , Shiv Upadhyay , Can Ataca , Kenneth D. Jordan , Brenda M. Rubenstein

A simple illustrative wave function with only three variational parameters is suggested to calculate the binding energy of negatively charged excitons (X-) as a function of quantum well width. The results of calculations are in agreement…

Strongly Correlated Electrons · Physics 2016-08-16 R. A. Sergeev , R. A. Suris , G. V. Astakhov , W. Ossau , D. R. Yakovlev

Interlayer excitons are bound states of electrons and holes confined in separate two-dimensional layers. Due to their repulsive dipolar interaction, interlayer excitons can form a correlated liquid. If another electron-hole bilayer is…

Mesoscale and Nanoscale Physics · Physics 2022-03-10 Chao Xu , Michael Fogler

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm}$, excitons bound by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Bogdan Ganchev , Neil Drummond , Igor Aleiner , Vladimir Fal'ko

We study the negatively $T^{-}$ and positively $T^{+}$ charged trions in bulk materials in the effective mass approximation within the framework of a potential model. The binding energies of trions in various semiconductors are calculated…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Igor Filikhin , Roman Ya. Kezerashvili , Bronislav Vlahovic

We investigate the trion binding energy in a three-dimensional semiconductor, with bare Coulomb interaction between charges, and effective mass approximation for the electron and hole dispersion relations. This is done by making use of a…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 R. Combescot

We study density-balanced, mass-asymmetric electron-hole bilayers as a tunable platform for correlated quantum phases. With independent control of carrier density and interlayer separation, the system exhibits a rich phase diagram,…

Superconductivity · Physics 2026-01-27 Luca Nashabeh , Liang Fu

The effect of polaron formation on the ground state of excitons, trions and biexcitons confined in CsPbBr$_3$ nanocrystals is studied in the framework of effective mass Hamiltonians, using a Haken-like (Bajaj) potential for carrier-phonon…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Jose L. Movilla , Josep Planelles , Juan I. Climente

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We present a theory of bilayer two-dimensional electron systems that host a spatially indirect exciton condensate when in thermal equilibrium. Equilibrium bilayer exciton condensates (BXCs) are expected to form when two nearby semiconductor…

Mesoscale and Nanoscale Physics · Physics 2017-01-31 Feng-Cheng Wu , Fei Xue , A. H. MacDonald

This paper considers a system of two parallel quantum Hall layers with total filling factor $0$ or $1$. When the distance between the layers is small enough, electrons and holes in opposite layers form inter-layer excitons, which have a…

Mesoscale and Nanoscale Physics · Physics 2016-03-03 Brian Skinner

We study low-dimensional quantum systems with analytical and computational methods. Firstly, the one-dimensional extended $t$-$V$ model of fermions with interactions of a finite range is investigated. The model exhibits a phase transition…

Strongly Correlated Electrons · Physics 2018-10-18 Marcin Szyniszewski

Trions are a three-particle bound state of electrons and holes. Experimental realization of a trion liquid in the degenerate quantum limit would open a wide range of phenomena in quantum many-body physics. However, trions have been observed…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 Phuong X. Nguyen , Raghav Chaturvedi , Liguo Ma , Patrick Knuppel , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

We apply quantum continuum mechanics to the calculation of the excitation spectrum of a coupled electron-hole bilayer. The theory expresses excitation energies in terms of ground-state intra- and inter-layer pair correlation functions,…

Strongly Correlated Electrons · Physics 2021-10-04 S. De Palo , P. E. Trevisanutto , G. Senatore , G. Vignale

Recently in [Phys. Rev. B 99, 241301(R) (2019)] tensor networks build upon logical circuits were briefly introduced to retrieve exciton and biexciton states. Compared to a conventional approach the tensor network methods scales logarithmic…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Sandra C. Kuhn , Marten Richter

We study the phase diagram of a bilayer of antiparallel dipolar excitons with a 1:2 density ratio between the layers, as a function of temperature and density. Using quantum Monte Carlo simulations, we show that such a system supports the…

Mesoscale and Nanoscale Physics · Physics 2025-07-23 Pradyumna P. Belgaonkar , Michal Zimmerman , Snir Gazit , Dror Orgad