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Moiré heterostructures as a condensed-matter quantum simulator

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TLDR
In this article, the authors explore the idea of adopting twisted van der Waals heterostructures as a quantum simulation platform that enables the study of strongly correlated physics and topology in quantum materials.
Abstract
Twisted van der Waals heterostructures have latterly received prominent attention for their many remarkable experimental properties and the promise that they hold for realizing elusive states of matter in the laboratory We propose that these systems can, in fact, be used as a robust quantum simulation platform that enables the study of strongly correlated physics and topology in quantum materials Among the features that make these materials a versatile toolbox are the tunability of their properties through readily accessible external parameters such as gating, straining, packing and twist angle; the feasibility to realize and control a large number of fundamental many-body quantum models relevant in the field of condensed-matter physics; and finally, the availability of experimental readout protocols that directly map their rich phase diagrams in and out of equilibrium This general framework makes it possible to robustly realize and functionalize new phases of matter in a modular fashion, thus broadening the landscape of accessible physics and holding promise for future technological applications Moire heterostructures have latterly captured the attention of condensed-matter physicists This Review Article explores the idea of adopting them as a quantum simulation platform that enables the study of strongly correlated physics and topology in quantum materials

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Correlated insulators, semimetals, and superconductivity in twisted trilayer graphene

TL;DR: In this paper, the effects of interactions in a twisted trilayer graphene system close to the magic angle were investigated using a combination of analytical and numerical methods, with good agreement between the two approaches.
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Gate-tunable heavy fermions in a moiré Kondo lattice

TL;DR: In this paper , a synthetic Kondo lattice was realized in AB-stacked MoTe2/WSe2 bilayers, where the MoTe 2 layer was tuned to a Mott insulating state, supporting a triangular moir\'e lattice of local moments, and the WSe2 layer was doped with itinerant conduction carriers.
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Evidence for moiré intralayer excitons in twisted WSe2/WSe2 homobilayer superlattices

TL;DR: In this article , the authors reported the observation of moiré intralayer excitons in a WSe2/WSe2 T-HB with a small twist angle by measuring PL spectrum.
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Evidence of frustrated magnetic interactions in a Wigner–Mott insulator

TL;DR: In this paper , strong frustrated magnetic interactions in a Wigner-Mott insulator at a two-thirds (2/3) filling of the moiré lattice in angle-aligned WSe2/WS2 bilayers were investigated.
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Recent Advances in Ultrathin Chiral Metasurfaces by Twisted Stacking

TL;DR: A review of planar chiral metasurfaces can be found in this article , where the authors summarized and discussed the recent progress in planar metamaterials from the viewpoints of building blocks, fabrication methods, as well as circular dichroism and modulation thereof in twisted stacked nanostructures.
References
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Journal ArticleDOI

Simulating physics with computers

TL;DR: In this paper, the authors describe the possibility of simulating physics in the classical approximation, a thing which is usually described by local differential equations, and the possibility that there is to be an exact simulation, that the computer will do exactly the same as nature.
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Boron nitride substrates for high-quality graphene electronics

TL;DR: Graphene devices on h-BN substrates have mobilities and carrier inhomogeneities that are almost an order of magnitude better than devices on SiO(2).
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Unconventional superconductivity in magic-angle graphene superlattices

TL;DR: The realization of intrinsic unconventional superconductivity is reported—which cannot be explained by weak electron–phonon interactions—in a two-dimensional superlattice created by stacking two sheets of graphene that are twisted relative to each other by a small angle.
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Non-Abelian Anyons and Topological Quantum Computation

TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the ''ensuremath{ u}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.
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Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator

TL;DR: It is shown that linear junctions between superconductors mediated by the topological insulator form a nonchiral one-dimensional wire for Majorana fermions, and that circuits formed from these junctions provide a method for creating, manipulating, and fusing Majorana bound states.
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