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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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Moiré exciton condensate: Nonlinear Dirac point, broken-symmetry Bloch waves, and unusual optical selection rules

- 10 Oct 2022 - 
TL;DR: In this paper , the authors studied the properties of moir´e exciton condensate within the mean-field theory, with special focus on the exciton-exciton interaction effect on the nonlinear Bloch band and Bloch waves of excitoncondensate in moir\'e potential.

Universal scaling near band-tuned metal-insulator phase transitions

TL;DR: In this article , a theory for band-tuned metal-insulator transitions based on the Kubo formalism is presented, which exhibits scaling of the resistivity curves, in the regime where $T\tau>1$ or $T \tau > 1$ where $\tau$ is the scattering time and $\mu$ the chemical potential.

Magnetic excitations, phase diagram, and order-by-disorder in the extended triangular-lattice Hubbard model

TL;DR: In this article , the magnetic excitations of the triangular lattice Hubbard model including next-nearest neighbor hopping were studied and the magnon spectra were computed within a self-consistent random phase approximation.
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3/2 magic angle quantization rule of flat bands in twisted bilayer graphene and its relationship to the quantum Hall effect

TL;DR: In this paper , it was shown that for high-order magic angles, the zero flat band modes converge into coherent Landau states with a dispersion of π 2 = 1/3 π π + 1 − π − ε, where π is a coupling parameter that incorporates the twist angle and energetic scales.

General scatterings and electronic states in the quantum-wire network of moir\'e systems

TL;DR: In this paper , the authors investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems and construct general operators which describe various scattering processes in the system.
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).
Journal ArticleDOI

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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