Accurate Prediction of Hall Mobilities in Two-Dimensional Materials through Gauge-Covariant Quadrupolar Contributions

Poncé, Samuel;Royo, Miquel;Gibertini, Marco;Marzari, Nicola;Stengel, Massimiliano
(2023) Physical Review Letters — Vol. 130, n° 16, p. 166301 (2023)

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  • Author
  • Royo, MiquelInstitut de Ciencia de Materials de Barcelona (ICMAB-CSIC), Campus UAB, 08193 Bellaterra, Spain
    Author
  • Gibertini, Marcoorcid-logoDipartimento di Scienze Fisiche, Informatiche e Matematiche, Universit`a di Modena e Reggio Emilia, Via Campi 213/a, I-41125 Modena, Italy
    Author
  • Marzari, Nicolaorcid-logoTheory and Simulation of Materials (THEOS), École Polytechnique F ́ed ́erale de Lausanne, CH-1015 Lausanne, Switzerland
    Author
  • Stengel, Massimilianoorcid-logoInstitut de Ci`encia de Materials de Barcelona (ICMAB-CSIC), Campus UAB, 08193 Bellaterra, Spain
    Author
Abstract
Despite considerable efforts, accurate computations of electron-phonon and carrier transport properties of low-dimensional materials from first principles have remained elusive. By building on recent advances in the description of long-range electrostatics, we develop a general approach to the calculation of electron-phonon couplings in two-dimensional materials. We show that the nonanalytic behavior of the electron-phonon matrix elements depends on the Wannier gauge, but that a missing Berry connection restores invariance to quadrupolar order. We showcase these contributions in a MoS2 monolayer, calculating intrinsic drift and Hall mobilities with precise Wannier interpolations. We also find that the contributions of dynamical quadrupoles to the scattering potential are essential, and that their neglect leads to errors of 23% and 76% in the room-temperature electron and hole Hall mobilities, respectively.
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Citations

Poncé, S., Royo, M., Gibertini, M., Marzari, N., & Stengel, M. (2023). Accurate Prediction of Hall Mobilities in Two-Dimensional Materials through Gauge-Covariant Quadrupolar Contributions. Physical Review Letters, 130(16), 166301. https://doi.org/10.1103/physrevlett.130.166301 (Original work published 2023)