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Moir\'e superlattices open an unprecedented opportunity for tailoring interactions between quantum particles and their coupling to electromagnetic fields. Strong superlattice potential generates moir\'e minibands of excitons -- bound pairs…

Materials Science · Physics 2020-02-25 Yanhao Tang , Jie Gu , Song Liu , Kenji Watanabe , Takashi Taniguchi , James Hone , Kin Fai Mak , Jie Shan

Absorption spectra, exciton energy levels and wave functions for solid Ne and Ar have been calculated from first principles using many-body techniques. Electronic band structures of Ne and Ar were calculated using the GW approximation.…

Other Condensed Matter · Physics 2009-11-10 S. Galamic-Mulaomerovic , C. H. Patterson

We propose a simple first-principles method to describe propagation of tightly bound excitons. By viewing the exciton as a composite object (an effective Frenkel exciton in Wannier orbitals), we define an exciton kinetic kernel to…

Strongly Correlated Electrons · Physics 2013-10-10 Chi-Cheng Lee , Xiaoqian M. Chen , Yu Gan , Chen-Lin Yeh , H. C. Hsueh , Peter Abbamonte , Wei Ku

Time-dependent Wannier functions were initially proposed as a means for calculating the polarization current in crystals driven by external fields. In this work, we present a simple gauge where Wannier states are defined based on the…

Materials Science · Physics 2024-10-29 Cristian M. Le , Hannes Hübener , Ofer Neufeld , Angel Rubio

We explore the flatness of conduction and valence bands of interlayer excitons in MoS$_2$/WSe$_2$ van der Waals heterobilayers, tuned by interlayer twist angle, pressure, and external electric field. We employ an efficient continuum model…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 Sara Conti , Andrey Chaves , Tribhuwan Pandey , Lucian Covaci , François M. Peeters , David Neilson , Milorad V. Milošević

Transition-metal dichalcogenide heterostructures exhibit moir\'e patterns that spatially modulate the electronic structure across the material's plane. For certain material pairs, this modulation acts as a potential landscape with deep,…

Mesoscale and Nanoscale Physics · Physics 2021-03-12 David A. Ruiz-Tijerina , Isaac Soltero , Francisco Mireles

The strong Coulomb forces in monolayer transition metal dichalcogenides ensure that optical excitation of band electrons gives rise to Wannier-Mott excitonic states, each of which can be conceptualized as a composite of a Gaussian…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Eric Chatterjee , Daniel B. S. Soh , Christopher Rogers , Dodd J. Gray , Hideo Mabuchi

Macroscopic quantum coherence emerges when bosons condense into a Bose-Einstein condensate (BEC). First observed as a single-component superfluid in helium, BECs later emerged in ultracold atomic gases at nanokelvin temperatures as weakly…

In semiconductor nanostructures, optical excitation typically creates bound electron-hole states, such as excitons, trions, and larger complexes. Their relative motion is described by the Wannier equation, which is valid only for spatially…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Bruno Hausmann , Marten Richter

The energy band structure of excitons is studied in periodic potentials produced by the short-range interaction between the exciton and electrons of Wigner or Moir\'{e} lattices. Treating the exciton as a point-like dipole that interacts…

Materials Science · Physics 2023-08-16 Dinh Van Tuan , Hanan Dery

Maximally-localised Wannier functions (MLWFs) are routinely used to compute from first-principles advanced materials properties that require very dense Brillouin zone integration and to build accurate tight-binding models for scale-bridging…

Computational Physics · Physics 2020-07-02 Valerio Vitale , Giovanni Pizzi , Antimo Marrazzo , Jonathan R. Yates , Nicola Marzari , Arash A. Mostofi

We have developed a practical scheme to construct partly occupied, maximally localized Wannier functions (WFs) for a wide range of systems. We explain and demonstrate how the inclusion of selected unoccupied states in the definition of the…

Materials Science · Physics 2009-11-11 K. S. Thygesen , L. B. Hansen , K. W. Jacobsen

We revisit low-temperature optical spectra of transition-metal dichalcogenide monolayers and point to a possible crystallization of electrons (or holes) at low to moderate charge densities. To calculate the excitonic spectra under such…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Dinh Van Tuan , Hanan Dery

Monolayers of transition metal dichalcogenides (TMDCs) feature exceptional optical properties that are dominated by excitons, tightly bound electron-hole pairs. Forming van der Waals heterostructures by deterministically stacking individual…

We consider a periodic Schroedinger operator and the composite Wannier functions corresponding to a relevant family of its Bloch bands, separated by a gap from the rest of the spectrum. We study the associated localization functional…

Mathematical Physics · Physics 2013-09-26 Gianluca Panati , Adriano Pisante

Moir\'e superlattices are excellent platforms to realize strongly correlated quantum phenomena, such as Mott insulation and superconductivity. In particular, recent research has revealed stripe phases and generalized Wigner crystals at…

Mesoscale and Nanoscale Physics · Physics 2021-07-20 Erfu Liu , Takashi Taniguchi , Kenji Watanabe , Nathaniel M. Gabor , Yong-Tao Cui , Chun Hung Lui

Moir\'e materials offer a versatile platform for engineering excitons with unprecedented control, promising next-generation optoelectronic applications. While continuum models are widely used to study moir\'e excitons due to their…

Materials Science · Physics 2025-10-08 Indrajit Maity , Johannes Lischner , Arash A. Mostofi , Ángel Rubio

Strong Coulomb interactions in two-dimensional (2D) semiconductors give rise to tightly bound excitons, exciton polarons, and correlated electronic phases such as Wigner crystals (WCs), yet their mutual interplay remains poorly understood.…

Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of $\mathbf{k}$ points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport…

Materials Science · Physics 2021-02-22 Stepan S. Tsirkin

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