Abstract

At very small twist angles, bilayer moiré systems exhibit characteristic stacking domain patterns, where the moiré length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of freedom in twisted trilayer systems give rise to richer and more intricate domain tessellations. In twisted trilayer hexagonal boron nitride (TTBN), the interplay between polar and nonpolar domains and their domain walls is shown to result in unconventional responses to external electric fields, including electric-field tunability of the moiré-of-moiré or super moiré pattern—features absent in bilayer counterparts. The paper demonstrates that at the vertices of super moiré domains, TTBN can support arrays of quantum dots hosting localized quantum harmonic oscillator states with diverse spatial symmetries, and that the shape of the array and spacing between the localized states can be dynamically reconfigured by electric fields. The local potentials for the quantum dot state are predicted to be sufficiently deep to support a series of quantum harmonic oscillator states with nonzero angular momentum.

Abstract

At very small twist angles, bilayer moiré systems exhibit characteristic stacking domain patterns, where the moiré length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of freedom in twisted trilayer systems give rise to richer and more intricate domain tessellations. In twisted trilayer hexagonal boron nitride (TTBN), the interplay between polar and nonpolar domains and their domain walls is shown to result in unconventional responses to external electric fields, including electric-field tunability of the moiré-of-moiré or super moiré pattern—features absent in bilayer counterparts. The paper demonstrates that at the vertices of super moiré domains, TTBN can support arrays of quantum dots hosting localized quantum harmonic oscillator states with diverse spatial symmetries, and that the shape of the array and spacing between the localized states can be dynamically reconfigured by electric fields. The local potentials for the quantum dot state are predicted to be sufficiently deep to support a series of quantum harmonic oscillator states with nonzero angular momentum.

Abstract

At very small twist angles, bilayer moiré systems exhibit characteristic stacking domain patterns, where the moiré length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of freedom in twisted trilayer systems give rise to richer and more intricate domain tessellations. In twisted trilayer hexagonal boron nitride (TTBN), the interplay between polar and nonpolar domains and their domain walls is shown to result in unconventional responses to external electric fields, including electric-field tunability of the moiré-of-moiré or super moiré pattern—features absent in bilayer counterparts. The paper demonstrates that at the vertices of super moiré domains, TTBN can support arrays of quantum dots hosting localized quantum harmonic oscillator states with diverse spatial symmetries, and that the shape of the array and spacing between the localized states can be dynamically reconfigured by electric fields. The local potentials for the quantum dot state are predicted to be sufficiently deep to support a series of quantum harmonic oscillator states with nonzero angular momentum.

Abstract

At very small twist angles, bilayer moiré systems exhibit characteristic stacking domain patterns, where the moiré length scale is determined solely by the twist angle. In contrast, the additional stacking and twisting degrees of freedom in twisted trilayer systems give rise to richer and more intricate domain tessellations. In twisted trilayer hexagonal boron nitride (TTBN), the interplay between polar and nonpolar domains and their domain walls is shown to result in unconventional responses to external electric fields, including electric-field tunability of the moiré-of-moiré or super moiré pattern—features absent in bilayer counterparts. The paper demonstrates that at the vertices of super moiré domains, TTBN can support arrays of quantum dots hosting localized quantum harmonic oscillator states with diverse spatial symmetries, and that the shape of the array and spacing between the localized states can be dynamically reconfigured by electric fields. The local potentials for the quantum dot state are predicted to be sufficiently deep to support a series of quantum harmonic oscillator states with nonzero angular momentum.