Melting of generalized Wigner crystals in transition metal dichalcogenide heterobilayer Moiré systems.
Journal
Nature communications
ISSN: 2041-1723
Titre abrégé: Nat Commun
Pays: England
ID NLM: 101528555
Informations de publication
Date de publication:
19 Nov 2022
19 Nov 2022
Historique:
received:
27
01
2022
accepted:
18
10
2022
entrez:
19
11
2022
pubmed:
20
11
2022
medline:
20
11
2022
Statut:
epublish
Résumé
Moiré superlattice systems such as transition metal dichalcogenide heterobilayers have garnered significant recent interest due to their promising utility as tunable solid state simulators. Recent experiments on a WSe
Identifiants
pubmed: 36402757
doi: 10.1038/s41467-022-34683-x
pii: 10.1038/s41467-022-34683-x
pmc: PMC9675862
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
7098Commentaires et corrections
Type : ErratumIn
Informations de copyright
© 2022. The Author(s).
Références
Wu, F., Lovorn, T., Tutuc, E. & MacDonald, A. H. Hubbard model physics in transition metal dichalcogenide Moire bands. Phys. Rev. Lett. 121, 026402 (2018).
doi: 10.1103/PhysRevLett.121.026402
Naik, M. H. & Jain, M. Ultraflatbands and shear solitons in Moire patterns of twisted bilayer transition metal dichalcogenides. Phys. Rev. Lett. 121, 266401 (2018).
doi: 10.1103/PhysRevLett.121.266401
Andrei, E. Y. et al. The marvels of moiré materials. Nat. Rev. Mater. 6, 201–206 (2021).
doi: 10.1038/s41578-021-00284-1
Tang, Y. et al. Simulation of Hubbard model physics in WSe
doi: 10.1038/s41586-020-2085-3
Regan, E. C. et al. Mott and generalized Wigner crystal states in WSe
doi: 10.1038/s41586-020-2092-4
Huang, X. et al. Correlated insulating states at fractional fillings of the WS
doi: 10.1038/s41567-021-01171-w
Xu, Y. et al. Correlated insulating states at fractional fillings of moirésuperlattices. Nature 587, 214–218 (2020).
doi: 10.1038/s41586-020-2868-6
Li, W. et al. Local sensing of correlated electrons in dual-moiré heterostructures using dipolar excitons. Preprint at http://arxiv.org/abs/2111.09440 (2021).
Pan, H., Wu, F. & Das Sarma, S. Quantum phase diagram of a Moiré-Hubbard model. Phys. Rev. B 102, 201104 (2020).
doi: 10.1103/PhysRevB.102.201104
Padhi, B., Setty, C. & Phillips, P. W. Doped twisted bilayer graphene near magic angles: proximity to Wigner crystallization, not Mott insulation. Nano Lett. 18, 6175–6180 (2018).
doi: 10.1021/acs.nanolett.8b02033
Padhi, B., Chitra, R. & Phillips, P. W. Generalized Wigner crystallization in Moire materials. Phys. Rev. B 103, 125146 (2021).
doi: 10.1103/PhysRevB.103.125146
Li, H. et al. Imaging two-dimensional generalized Wigner crystals. Nature 597, 650–654 (2021).
doi: 10.1038/s41586-021-03874-9
Spivak, B. & Kivelson, S. A. Phases intermediate between a two-dimensional electron liquid and Wigner crystal. Phys. Rev. B 70, 155114 (2004).
doi: 10.1103/PhysRevB.70.155114
Spivak, B. & Kivelson, S. A. Transport in two dimensional electronic micro-emulsions. Ann. Phys. 321, 2071–2115 (2006).
doi: 10.1016/j.aop.2005.12.002
Jamei, R., Kivelson, S. & Spivak, B. Universal aspects of coulomb-frustrated phase separation. Phys. Rev. Lett. 94, 056805 (2005).
doi: 10.1103/PhysRevLett.94.056805
Jin, C. et al. Stripe phases in WSe
doi: 10.1038/s41563-021-00959-8
Li, T. et al. Continuous Mott transition in semiconductor moiré superlattices. Nature 597, 350–354 (2021).
doi: 10.1038/s41586-021-03853-0
Ghiotto, A. et al. Quantum criticality in twisted transition metal dichalcogenides. Nature 597, 345–349 (2021).
doi: 10.1038/s41586-021-03815-6
Coppersmith, S. N., Fisher, D. S., Halperin, B. I., Lee, P. A. & Brinkman, W. F. Dislocations and the commensurate-incommensurate transition in two dimensions. Phys. Rev. B 25, 349–363 (1982).
doi: 10.1103/PhysRevB.25.349
Kivelson, S. A., Fradkin, E. & Emery, V. J. Electronic liquid-crystal phases of a doped Mott insulator. Nature 393, 550–553 (1998).
doi: 10.1038/31177
Serre, J.-P. Linear Representations of Finite Groups (Springer Science & Business Media, 2012)
Fernandes, R. M. & Venderbos, J. W. F. Nematicity with a twist: rotational symmetry breaking in a moiré superlattice. Sci. Adv. 6 https://doi.org/10.1126/sciadv.aba8834 (2020).
Kivelson, S. A. et al. How to detect fluctuating stripes in the high-temperature superconductors. Rev. Mod. Phys. 75, 1201–1241 (2003).
doi: 10.1103/RevModPhys.75.1201
Venderbos, J. W. F. & Fernandes, R. M. Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene. Phys. Rev. B 98, 245103 (2018).
doi: 10.1103/PhysRevB.98.245103
Hecker, M. & Schmalian, J. Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi
doi: 10.1038/s41535-018-0098-z
Little, A. et al. Three-state nematicity in the triangular lattice antiferromagnet Fe
doi: 10.1038/s41563-020-0681-0
Li, H. et al. Imaging moiréflat bands in three-dimensional reconstructed WSe
Shimazaki, Y. et al. Optical signatures of periodic charge distribution in a Mott-like correlated insulator state. Phys. Rev. X 11, 021027 (2021).
Zhou, Y. et al. Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure. Nature 595, 48–52 (2021).
doi: 10.1038/s41586-021-03560-w
Smoleński, T. et al. Signatures of Wigner crystal of electrons in a monolayer semiconductor. Nature 595, 53–57 (2021).
doi: 10.1038/s41586-021-03590-4
Swendsen, R. H. & Wang, J.-S. Nonuniversal critical dynamics in Monte Carlo simulations. Phys. Rev. Lett. 58, 86–88 (1987).
doi: 10.1103/PhysRevLett.58.86
Wolff, U. Collective Monte Carlo updating for spin systems. Phys. Rev. Lett. 62, 361–364 (1989).
doi: 10.1103/PhysRevLett.62.361
Heringa, J. R. & Blöte, H. W. J. Geometric cluster Monte Carlo simulation. Phys. Rev. E 57, 4976–4978 (1998).
doi: 10.1103/PhysRevE.57.4976
Matty, M. Monte Carlo data for “Melting of generalized Wigner crystals in transition metal dichalcogenide heterobilayer Moiré systems”. https://doi.org/10.5281/zenodo.7120826 (2022).
Matty, M. KimGroup/tmd_moire_monte_carlo: Manuscript code. https://doi.org/10.5281/zenodo.7120887 (2022).