Variational and field-theoretical approach to exciton-exciton interactions and biexcitons in semiconductors

• URL: http://arxiv.org/abs/2510.05242v1
• Date: Mon, 06 Oct 2025 18:07:48 GMT
• Title: Variational and field-theoretical approach to exciton-exciton interactions and biexcitons in semiconductors
• Authors: Peter A. Noordman, Lucas Maisel Licerán, Henk T. C. Stoof,
• Abstract summary: We study interactions between Wannier excitons in a system of spin-degenerate electrons and holes.<n>Our result can be interpreted as a generalization of the Heitler-London potential to arbitrary masses.<n>We use a path-integral formalism to develop a many-body theory for a gas of excitons, resulting in an excitonic action.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 of free excitons in these systems are well understood, a general description of their interactions is complicated due to their composite nature, which leads to exchange between the identical fermions of different excitons. In this work we employ a variational approach to study interactions between Wannier excitons and obtain an effective interaction potential between two ground-state excitons in a system of spin-degenerate electrons and holes. This potential is in general nonlocal and depends on the coupled spins of the particles. When particularized to hydrogen-like excitons with a heavy hole, it becomes local and exactly reproduces the Heitler-London result for two interacting hydrogen atoms. Thus, our result can be interpreted as a generalization of the Heitler-London potential to arbitrary masses. Including corrections due to excited states results in a van der Waals potential at large distances, which is expected due to the induced dipole-dipole nature of the interactions. Additionally, we use a path-integral formalism to develop a many-body theory for a gas of excitons, resulting in an excitonic action that formally includes many-body interactions between excitons. While in the field representing the excitons is exactly bosonic, we clarify how the internal exchange processes arise in the field-theoretical treatment, and show that the diagrams corresponding to the interactions between excitons align with our variational calculation when evaluated on shell. Our methods and results lay the groundwork for a generalized theory of exciton-exciton interactions and their application to the study of biexciton spectra and correlated excitonic matter.

Related papers

• AC-Stark Spectroscopy of Interactions between Moiré Excitons and Polarons [0.0]
  We use nonlinear pump-probe spectroscopy to study optical excitations in a charge-tunable MoSe$$WS$$ moir'e heterostructure.<n>By measuring the resulting ac Stark effect with a weak resonant laser pulse, we gain access to the nature and mutual interactions of the elementary optical excitations.
  arXiv  Detail & Related papers  (2024-02-26T15:02:51Z)
• Nonlocal thermoelectric detection of interaction and correlations in edge states [62.997667081978825]
  We propose the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of correlations. A setup with two controllable quantum point contacts allows thermoelectricity to monitor the interacting system thermalisation.
  arXiv  Detail & Related papers  (2023-07-18T16:28:59Z)
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays [0.0]
  Polarons arise from the self-trapping interaction between electrons and lattice distortions in a solid. We present a microscopic model that exhibits a diverse range of dynamic behavior, arising from the intricate interplay between excitation-phonon coupling terms. This work contributes to the understanding of polaron dynamics with their potential applications in coherent quantum transport.
  arXiv  Detail & Related papers  (2023-07-10T10:40:47Z)
• Bosonic Delocalization of Dipolar Moir\'e Excitons [0.0]
  tunable moir'e potentials emerge, trapping excitons into periodic arrays. Recent experiments have demonstrated density-dependent transport properties of moir'e excitons. We develop a microscopic theory of interacting excitons in external potentials.
  arXiv  Detail & Related papers  (2023-06-01T09:06:33Z)
• Spatial Exciton Localization at Interfaces of Metal Nanoparticles and Atomically Thin Semiconductors [0.0]
  We analytically study the interaction between a nanostructure consisting of a metal nanoparticles and a monolayer of transition metal dichalcogenide. For the combined system, we identify an effective eigenvalue equation that governs the center-of-mass motion of the dressed excitons in a plasmon-induced potential.
  arXiv  Detail & Related papers  (2023-05-18T16:37:37Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Photon-mediated interactions near a Dirac photonic crystal slab [68.8204255655161]
  We develop a theory of dipole radiation near photonic Dirac points in realistic structures. We find positions where the nature of the collective interactions change from being coherent to dissipative ones. Our results significantly improve the knowledge of Dirac light-matter interfaces.
  arXiv  Detail & Related papers  (2021-07-01T14:21:49Z)
• Molecular Interactions Induced by a Static Electric Field in Quantum Mechanics and Quantum Electrodynamics [68.98428372162448]
  We study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
  arXiv  Detail & Related papers  (2021-03-30T14:45:30Z)
• Extracting non-local inter-polaron interactions from collisional dynamics [0.0]
  This study develops a novel experimental method of deducing the profile of interaction induced between impurities in a trapped gas of ultracold Fermi/Bose atoms. Numerical simulations of the quantum dynamics reveal the possibility to obtain information regarding the non-local induced interaction between two polarons.
  arXiv  Detail & Related papers  (2020-11-16T12:56:55Z)
• Optically pumped spin polarization as a probe of many-body thermalization [50.591267188664666]
  We study the spin diffusion dynamics of 13C in diamond, which we dynamically polarize at room temperature via optical spin pumping of engineered color centers. We find good thermal contact throughout the nuclear spin bath, virtually independent of the hyperfine coupling strength. Our results open intriguing opportunities to study the onset of thermalization in a system by controlling the internal interactions within the bath.
  arXiv  Detail & Related papers  (2020-05-01T23:16:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.