Transition Metal Dichalcogenide Excitons in Periodic Electrostatic Potentials: Center-of-Mass Models

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Main Authors: Torres-Lopez, Jose M., Kundu, Sudipta, da Jornada, Felipe H., Heinz, Tony, MacDonald, Allan H.
Format: Preprint
Published: 2026
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author Torres-Lopez, Jose M.
Kundu, Sudipta
da Jornada, Felipe H.
Heinz, Tony
MacDonald, Allan H.
author_facet Torres-Lopez, Jose M.
Kundu, Sudipta
da Jornada, Felipe H.
Heinz, Tony
MacDonald, Allan H.
contents Two-dimensional (2D) van-der-Waals materials are a promising platform for exciton state engineering. In this paper, we study the properties of excitons in 2D group VI transition-metal dichalcogenide (TMD) semiconductors that are modified by a periodic electrostatic potential through the quadratic Stark effect. Using a model that retains only center-of-mass and valley degrees-of-freedom, we find that electrostatic potentials can drive optical valley splitting up to 10meVs and induce valley selective exciton dispersion. We explain why both properties are sensitive to the rotational symmetry of the electrostatic trapping potential using a combination of numerical results and analytical approximations. An important consequence of valley-splitting is that the lowest exciton band is non-degenerate and has a linear dispersion around $γ$ that is expected to suppress thermal excitations, allowing true Bose condensation and superfluidity of excitons in two space dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03162
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Transition Metal Dichalcogenide Excitons in Periodic Electrostatic Potentials: Center-of-Mass Models
Torres-Lopez, Jose M.
Kundu, Sudipta
da Jornada, Felipe H.
Heinz, Tony
MacDonald, Allan H.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Two-dimensional (2D) van-der-Waals materials are a promising platform for exciton state engineering. In this paper, we study the properties of excitons in 2D group VI transition-metal dichalcogenide (TMD) semiconductors that are modified by a periodic electrostatic potential through the quadratic Stark effect. Using a model that retains only center-of-mass and valley degrees-of-freedom, we find that electrostatic potentials can drive optical valley splitting up to 10meVs and induce valley selective exciton dispersion. We explain why both properties are sensitive to the rotational symmetry of the electrostatic trapping potential using a combination of numerical results and analytical approximations. An important consequence of valley-splitting is that the lowest exciton band is non-degenerate and has a linear dispersion around $γ$ that is expected to suppress thermal excitations, allowing true Bose condensation and superfluidity of excitons in two space dimensions.
title Transition Metal Dichalcogenide Excitons in Periodic Electrostatic Potentials: Center-of-Mass Models
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2605.03162