Moiré flat Chern bands and correlated quantum anomalous Hall states generated by spin-orbit couplings in twisted homobilayer 
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Zhou, Benjamin T.; Egan, Shannon; Franz, Marcel

doi:10.1103/physrevresearch.4.l012032

Cited by 12 publications

(5 citation statements)

References 48 publications

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“…2b. Studies of twisted 2D materials have established that the interlayer coupling within a twisted bilayer structure has the general form 21,24,[44][45][46]…”

Section: Resultsmentioning

confidence: 99%

“…The momentum transfer processes above are central ingredients in the celebrated Bistrizer-MacDonald (BM) model of small-angle twisted bilayer graphene 21 and its variants for other twisted materials with two K-valleys 24,46 , where the two valleys are modeled separately by valley-dependent low-energy effective Hamiltonians. However, the BM-type continuum model designed for the small twist-angle limit will fail to describe the maximally twisted double-layer STVS superconductor.…”

Section: Resultsmentioning

confidence: 99%

“…We further note that inter-layer spatial displacements between two layers due to angular twist can generally introduce nonzero phases in the inter-layer tunneling term in Eq. ( 13) 24,46 . As we explain in Supplementary Note 9, such phases cancel out in the total phase of Cooper pairs due to the spinless time-reversal symmetry T 0 and thus do not affect our analysis on the superconducting phase.…”

Section: Methodsmentioning

confidence: 99%

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Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

et al. 2023

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Recent studies point to an exotic spin-triplet valley-singlet (STVS) superconducting phase in certain two-valley electron liquids, including rhombohedral trilayer graphene, Bernal bilayer graphene and ZrNCl, which nevertheless admits only trivial topology. Here, we predict that upon twisting two layers of STVS superconductors, a chiral $$f\pm {{{{{{{\rm{i}}}}}}}}{f}^{{\prime} }$$ f ± i f ′ -wave superconducting phase emerges near the ‘maximal’ twist angle of 30∘ where the system becomes an extrinsic quasi-crystal with 12-fold tiling. The resulting composite hosts an odd number of chiral Majorana edge modes and a single non-Abelian Majorana zero mode (MZM) in the vortex core. Through detailed symmetry analysis and microscopic modelling, we demonstrate that the non-Abelian topological superconductivity (TSC) forms robustly near the maximal twist when the isolated Fermi pockets coalesce into a single connected Fermi surface in the moiré Brillouin zone. Our results establish the large-twist-angle engineering, with distinct underlying moiré physics from magic-angle graphene, as a viable route toward non-Abelian TSC.

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“…2b. Studies of twisted 2D materials have established that the interlayer coupling within a twisted bilayer structure has the general form 21,24,[44][45][46]…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

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Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

et al. 2023

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“…tioned above are topologically trivial. The nontrivial band topology was first theoretically proposed in AA-stacked t-MoTe 2 [88] in 2019, and in t-WSe 2 [29,89] , t-MoS 2 [90] later. For the moiré homobilayers with spin-allowed interlayer hopping, the Hamilton of this system could be mapped to a Kane-Mele model which hosts a topological band structure with nonzero Chern numbers [29,88] .…”

Section: Quantum Simulation Of the Kane-mele Modelmentioning

confidence: 91%

Recent progress on fabrication and flat-band physics in 2D transition metal dichalcogenides moiré superlattices

Huang¹,

Han²,

Dai³

et al. 2023

J. Semicond.

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Moiré superlattices are formed when overlaying two materials with a slight mismatch in twist angle or lattice constant. They provide a novel platform for the study of strong electronic correlations and non-trivial band topology, where emergent phenomena such as correlated insulating states, unconventional superconductivity, and quantum anomalous Hall effect are discovered. In this review, we focus on the semiconducting transition metal dichalcogenides (TMDs) based moiré systems that host intriguing flat-band physics. We first review the exfoliation methods of two-dimensional materials and the fabrication technique of their moiré structures. Secondly, we overview the progress of the optically excited moiré excitons, which render the main discovery in the early experiments on TMD moiré systems. We then introduce the formation mechanism of flat bands and their potential in the quantum simulation of the Hubbard model with tunable doping, degeneracies, and correlation strength. Finally, we briefly discuss the challenges and future perspectives of this field.

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“…因为二硫化钼的导带自旋-轨道相互作用很弱, 有可能会导致上下自旋的莫尔平带交错在一起, 与转角双层石墨烯一样保持电子的四重简并度. 但是实验发现二硫化钼的导带电子具有很强的关联作用 [98,99] , 这种强关联效应可能会打破谷和自旋的锁定效应, 导致不同自旋电子填充顺序的改变. 理论预言在同质莫尔超晶格的导带中同样可以诱发非平凡拓扑能带 [100] , 如图2(f) 所示.…”

Section: 单层二硫化钼由钼原子和硫原子组成从结构unclassified

Experimental research progress of electronic band structure and low temperature transport based on molybdenum disulfide

吴帆帆¹,

季怡汝²,

杨威³

et al. 2022

Acta Phys. Sin.

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Molybdenum disulfide is a layered transition metal chalcogenide semiconductor. It has many applications in the fields of two-dimensional spintronics, Valley electronics and optoelectronics. This review takes molybdenum disulfide as a representative to systematically introduce the energy band structures of single layer, bilayer and twisted bilayer Molybdenum disulfide, as well as the latest experimental progress on it’s low-temperature electrical transport, such as superconductivity and strong correlation phenomenon. Finally, two dimensional transition metal chalcogenide moiré superlattice’s challenges in optimizing contact and sample quality are analyzed and look forward to the future development of this field.

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Moiré flat Chern bands and correlated quantum anomalous Hall states generated by spin-orbit couplings in twisted homobilayer MoS2

Cited by 12 publications

References 48 publications

Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

Recent progress on fabrication and flat-band physics in 2D transition metal dichalcogenides moiré superlattices

Experimental research progress of electronic band structure and low temperature transport based on molybdenum disulfide

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