Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Yannouleas, Constantine, Landman, Uzi
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866915063189733376
author Yannouleas, Constantine
Landman, Uzi
author_facet Yannouleas, Constantine
Landman, Uzi
contents For moiré bilayer TMD superlattices, full-configuration-interaction (FCI) calculations are presented that take into account both the intra-moiré-quantum-dot (MQD) charge-carrier Coulombic interactions, as well as the crystal-field effect from the surrounding moiré pockets (inter-moiré-QD interactions). The effective computational embedding strategy introduced here allows for an FCI methodogy that enables the complete interpretation of the counterintuitive experimental observations reported recently in the context of moiré TMD superlattices at integer fillings $ν=2$ and 4. Two novel states of matter are reported: (i) a genuinely quantum-mechanical supercrystal of $sliding$ Wigner molecules (WMs) for unstrained moiré TMD materials (when the crystal field is commensurate with the trilobal symmetry of the confining potential in each embedded MQD) and (ii) a supercrystal of $pinned$ Wigner molecules when the crystal field is incommensurate with the trilobal symmetry or straining of the whole material is involved. The case of $ν=3$ is an exception, in that even the unstrained case is associated with a supercrystal of pinned WMs, which is due to the congruence of intrinsic (that of the WM) and external (that of the confining potential of the MQD) $C_3$ point-group symmetries. Furthermore, it is shown that the unrestricted Hartree-Fock approach fails to describe the supercrystal of sliding WMs in the unstrained case, providing a qualitative agreement only in the case of a supercrystal of pinned WMs
format Preprint
id arxiv_https___arxiv_org_abs_2407_02527
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices
Yannouleas, Constantine
Landman, Uzi
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Quantum Physics
For moiré bilayer TMD superlattices, full-configuration-interaction (FCI) calculations are presented that take into account both the intra-moiré-quantum-dot (MQD) charge-carrier Coulombic interactions, as well as the crystal-field effect from the surrounding moiré pockets (inter-moiré-QD interactions). The effective computational embedding strategy introduced here allows for an FCI methodogy that enables the complete interpretation of the counterintuitive experimental observations reported recently in the context of moiré TMD superlattices at integer fillings $ν=2$ and 4. Two novel states of matter are reported: (i) a genuinely quantum-mechanical supercrystal of $sliding$ Wigner molecules (WMs) for unstrained moiré TMD materials (when the crystal field is commensurate with the trilobal symmetry of the confining potential in each embedded MQD) and (ii) a supercrystal of $pinned$ Wigner molecules when the crystal field is incommensurate with the trilobal symmetry or straining of the whole material is involved. The case of $ν=3$ is an exception, in that even the unstrained case is associated with a supercrystal of pinned WMs, which is due to the congruence of intrinsic (that of the WM) and external (that of the confining potential of the MQD) $C_3$ point-group symmetries. Furthermore, it is shown that the unrestricted Hartree-Fock approach fails to describe the supercrystal of sliding WMs in the unstrained case, providing a qualitative agreement only in the case of a supercrystal of pinned WMs
title Crystal-field effects in the formation of Wigner-molecule supercrystals in moiré TMD superlattices
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2407.02527