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We apply the fermion commutation technique for composite bosons to polariton-polariton scattering in semiconductor planar microcavities. Derivations are presented in a simple and physically transparent fashion. A procedure of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. M. Glazov , H. Ouerdane , L. Pilozzi , G. Malpuech , A. V. Kavokin , A. D'Andrea

Traditional spintronics relies on spin transport by charge carriers, such as electrons in semiconductor crystals. This brings several complications: the Pauli principle prevents the carriers from moving with the same speed; Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 A. V. Kavokin , M. Vladimirova , B. Jouault , T. C. H. Liew , J. R. Leonard , L. V. Butov

We present a many-body theory for Frenkel excitons which takes into account their composite nature exactly. Our approach is based on four commutators similar to the ones we previously proposed for Wannier excitons. They allow us to…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 M. Combescot , W. V. Pogosov

Bound electron-hole pairs in semiconductors known as excitons are the subject of intense research due to their potential for optoelectronic devices and applications, especially in the realm of two-dimensional materials. While the properties…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Peter A. Noordman , Lucas Maisel Licerán , Henk T. C. Stoof

The theory of what happens to a superfluid in a random field, known as the ``dirty boson'' problem, directly relates to a real experimental system presently under study by several groups, namely excitons in coupled semiconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg L. Berman , Yurii E. Lozovik , David W. Snoke , Rob D. Coalson

The concept of quasi-bosons or composite bosons (like mesons, excitons etc.) has a wide range of potential physical applications. Even composed of two pure fermions, the quasi-boson creation and annihilation operators satisfy non-standard…

Quantum Physics · Physics 2011-10-07 A. M. Gavrilik , I. I. Kachurik , Yu. A. Mishchenko

The gas of interacting excitons in quantum wells is studied. We obtain the Hamiltonian of this gas by the projection of the electron-hole plasma Hamiltonian to exciton states and an expansion in a small density. Matrix elements of the…

Condensed Matter · Physics 2009-10-31 S. Ben-Tabou de-Leon , B. Laikhtman

Due to a strong Coulomb interaction, excitons dominate the excitation kinetics in 2D materials. While Coulomb-scattering between electrons has been well studied, the interaction of excitons is more challenging and remains to be explored. As…

Materials Science · Physics 2021-01-27 Daniel Erkensten , Samuel Brem , Ermin Malic

Using the composite boson many-body formalism that takes single-exciton states rather than free carrier states as a basis, we derive the integral equation fulfilled by the exciton-exciton effective scattering from which the role of fermion…

The exciton-exciton interaction is investigated for quasi-two-dimensional quantum structures. A bosonization scheme is applied including the full spin structure. For generating the effective interaction potentials, the Hartree-Fock and…

Mesoscale and Nanoscale Physics · Physics 2008-07-23 Christoph Schindler , Roland Zimmermann

Excitons in the weakly interacting regime can be well-described by many-body perturbation theories such as the Bethe-Salpeter equation formalism. However, for materials such as transition metal dichalcogenides moir\'e heterostructures under…

Materials Science · Physics 2026-03-16 Fangzhou Zhao , Carlos Mejuto-Zaera , Angel Rubio , Vojtěch Vlček

Starting from the conventional electron-hole Hamiltonian ${\cal H}_{eh}$, we derive an effective Hamiltonian $\tilde{\cal H}_{1s}$ for $1s$ excitons with spin degrees of freedom. The Hamiltonian describes optical processes close to the…

Materials Science · Physics 2009-10-31 Jun-ichi Inoue , Tobias Brandes , Akira Shimizu

Despite a long history, certain aspects of excitons - the bound inter-band states which form when a valence band hole and a conduction band electron pair - have remained relatively unexplored. This holds particularly true for the…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 Carolina Paiva , Tobias Holder , Roni Ilan

Excitons are two-particle correlated bound states that are formed due to Coulomb interaction between single-particle holes and electrons. In the solid-state, cooperative interactions with surrounding quasiparticles can strongly tailor the…

Large exciton-polariton optical nonlinearities present a key mechanism for photonics-based communication, ultimately in the quantum regime. Enhanced nonlinear response from various materials hosting excitons and allowing for their strong…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Anna M. Grudinina , Nina S. Voronova

Pauli exclusion between the carriers of $N$ excitons induces novel many-body effects, quite different from the ones generated by Coulomb interaction. Using our commutation technique for interacting close-to-boson particles, we here…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. Betbeder-Matibet , M. Combescot

We report on small-cluster exact-diagonalization calculations which prove the formation of electron-hole pairs (excitons) as prerequisite for spontaneous interlayer phase coherence in bilayer systems described by the extended…

Strongly Correlated Electrons · Physics 2013-07-25 T. Kaneko , S. Ejima , H. Fehske , Y. Ohta

We study Gaussian fluctuations of the zero-temperature attractive Fermi gas in the 2D BCS-BEC crossover showing that they are crucial to get a reliable equation of state in the BEC regime of composite bosons, bound states of fermionic…

Quantum Gases · Physics 2015-01-27 L. Salasnich , F. Toigo

We examine the influence of the Pauli exclusion principle on the scattering properties of composite bosons (cobosons) made of two fermions, such as the exciton quasiparticle. The scattering process incorporates boson-phonon interactions…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 A. Thilagam

We first derive a new ``commutation technique'' for an exciton interacting with electrons, inspired from the one we recently developed for excitons interacting with excitons. These techniques allow to take \emph{exactly} into account the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Combescot , O. Betbeder-Matibet