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We derive the collision term in the Boltzmann equation using the equation of motion for the Wigner function of massive spin-1/2 particles. To next-to-lowest order in $\hbar$ it contains a nonlocal contribution, which is responsible for the…

High Energy Physics - Phenomenology · Physics 2021-08-04 Nora Weickgenannt , Enrico Speranza , Xin-li Sheng , Qun Wang , Dirk H. Rischke

Exciton condensation, the Bose-Einstein-like condensation of quasibosonic particle-hole pairs, has been the subject of much theoretical and experimental interest and holds promise for ultra-energy-efficient technologies. Recent advances in…

We connect two different generalizations of Boltzmann's kinetic theory by requiring the same stationary solution. Non-extensive statistics can be produced by either using corresponding collision rates nonlinear in the one-particle densities…

Statistical Mechanics · Physics 2009-11-11 T. S. Biro , G. Kaniadakis

A microscopic theory is developed to analyze the dynamics of exciton formation out of incoherent carriers in semiconductor heterostructures. The carrier Coulomb and phonon interaction is included consistently. A cluster expansion method is…

Strongly Correlated Electrons · Physics 2009-11-07 W. Hoyer , M. Kira , S. W. Koch

Exciton polaritons are hybrid particles of excitons (bound electron-hole pairs) and cavity photons, which are renowned for displaying Bose Einstein condensation and other coherent phenomena at elevated temperatures. However, their formation…

Mesoscale and Nanoscale Physics · Physics 2024-08-29 Kenneth Choo , Olivier Bleu , Jesper Levinsen , Meera M. Parish

Excitons consist of electrons and holes held together by their attractive Coulomb interaction. Although excitons are neutral excitations, spatial fluctuations in their charge density couple with the ions of the crystal lattice. This…

Materials Science · Physics 2024-01-18 Zhenbang Dai , Chao Lian , Jon Lafuente-Bartolome , Feliciano Giustino

Excitons, namely neutral excitations in a system of electrons arising from the electron-hole interaction, are often essential to explain optical measurements in materials. They are governed by the Bethe-Salpeter equation, which can be cast…

Strongly Correlated Electrons · Physics 2024-10-29 M. A. García-Blázquez , J. J. Palacios

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present…

High Energy Physics - Phenomenology · Physics 2014-11-19 Eugenio Megias , Debora P. Menezes , Airton Deppman

We propose a hydrodynamic model to study the thermotransport properties of semiconductor electrons. From the semiclassical Boltzmann equation a set of balance equations is built for the relevant fields. The electron density, the electron…

Statistical Mechanics · Physics 2009-07-13 A. Rangel-Huerta , M. A. Rodriguez-Meza

Optical excitations in moir\'e transition metal dichalcogenide bilayers lead to the creation of excitons, as electron-hole bound states, that are generically considered within a Bose-Hubbard framework. Here, we demonstrate that these…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Tsung-Sheng Huang , Peter Lunts , Mohammad Hafezi

We have recently constructed a many-body theory for composite excitons, in which the possible carrier exchanges between $N$ excitons can be treated exactly through a set of dimensionless ``Pauli scatterings'' between two excitons. Many-body…

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

A convenient form of kinetic equation is derived for pair annihilation of heavy stable particles relevant to the dark matter problem in cosmology. The kinetic equation thus derived extends the on-shell Boltzmann equation in a most…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sh. Matsumoto , M. Yoshimura

We predict an anomalous thermally activated superradiance in molecular aggregates within polaritonic environments. In contrast to free space, the collective emission is enhanced when either the exciton-phonon coupling or the temperature…

Chemical Physics · Physics 2026-05-21 Yi-Ting Chuang , Liang-Yan Hsu

The bound electron-hole pairs known as excitons govern the optical properties of insulating solids. While their behavior in equilibrium is well-understood theoretically, the nonequilibrium regime at high excitation densities-where phenomena…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Pushpendra Yadav

The dephasing and relaxation kinetics of bosonic excitons interacting with a thermal bath of acoustic phonons is studied after coherent pulse excitation. The kinetics of the induced excitonic polarization is calculated within Markovian…

Statistical Mechanics · Physics 2009-10-31 O. M. Schmitt , D. B. Tran Thoai , P. Gartner , H. Haug

The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -- in contrast…

Statistical Mechanics · Physics 2014-08-19 M. Horváth , T. S. Biró

Generic models of propelled particle systems posit that the emergence of polar order is driven by the competition between local alignment and noise. Although this notion has been confirmed employing the Boltzmann equation, the range of…

Soft Condensed Matter · Physics 2013-11-26 Florian Thüroff , Christoph A. Weber , Erwin Frey

Calculations combining first-principles electron-phonon ($e$-ph) interactions with the Boltzmann equation enable studies of ultrafast carrier and phonon dynamics. However, in materials with weak Coulomb screening, electrons and holes form…

Materials Science · Physics 2022-10-13 Hsiao-Yi Chen , Marco Bernardi

We show that the absorption spectrum in semiconducting nanotubes can be determined using the bosonization technique combined with mean-field theory and a harmonic approximation. Our results indicate that a multiple band semiconducting…

Mesoscale and Nanoscale Physics · Physics 2014-03-13 M. C. Sweeney , J. D. Eaves

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu