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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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Topological charge pumping in quasiperiodic systems characterized by the Bott index

TL;DR: In this article, the Bott index is used to characterize the fractal structure of charge pumping in quasiperiodic systems, using a real-space formulation called Bott index.
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Quantum physics in connected worlds

TL;DR: Theoretical research into many-body quantum systems has mostly focused on regular structures which have a small, simple unit cell and where a vanishingly small fraction of the pairs of the constituents directly interact as mentioned in this paper .
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Leaky exciton condensates in transition metal dichalcogenide moiré bilayers

TL;DR: In this article , the authors analyzed the properties of leaky condensates in the context of twisted bilayers of transition metal dichalcogenides, which host strongly interacting excitons and an indirect bandgap.
Journal ArticleDOI

Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model

- 07 Feb 2022 - 
TL;DR: In this paper , the authors investigated the possible superconducting pairings in a two-dimensional single band Rashba-Hubbard model using a random-phase approximation in the presence of nearest and next-nearest neighbor hopping.
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Topological and Stacked Flat Bands in Bilayer Graphene with a Superlattice Potential

TL;DR: Bilayer graphene in the presence of a superlattice potential can be an alternative platform to realize moir\ifmmode \acute{}\else \'{}\fi{}e physics as mentioned in this paper .
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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