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Twisted bilayers of transition metal dichalcogenide semiconductors have enabled the discovery of superconductivity, ferromagnetism, correlated insulators and a series of new topological phases of matter. However, the connection between…

Van Hove singularities (VHS's) in the density of states play an outstanding and diverse role for the electronic and thermodynamic properties of crystalline solids. At the critical point the Fermi surface connectivity changes and topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Youngwook Kim , Patrick Herlinger , Pilkyung Moon , Mikito Koshino , Takashi Taniguchi , Kenji Watanabe , Jurgen. H Smet

Van Hove singularities (VHSs) amplify electronic correlations, providing a crucial platform for discovering novel quantum phase transitions. Here, we show that VHSs in multi-orbital systems can stabilize a variety of competing $\bm{Q}=0$…

Strongly Correlated Electrons · Physics 2026-02-03 Chen Lu , Lun-Hui Hu

New phases of matter can be stabilized by a combination of diverging electronic density of states, strong interactions, and spin-orbit coupling. Recent experiments in magic-angle twisted bilayer graphene (TBG) have uncovered a wealth of…

Twisted graphene bilayers (TGBs) have low-energy van Hove singularities (VHSs) that are strongly localized around AA-stacked regions of the moire pattern. Therefore, they exhibit novel many-body electronic states, such as Mott-like…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 Yi-Wen Liu , Jia-Bin Qiao , Chao Yan , Yu Zhang , Si-Yu Li , Lin He

Topological flat bands formed in two-dimensional lattice systems offer unique opportunity to study the fractional phases of matter in the absence of an external magnetic field. Celebrated examples include fractional quantum anomalous Hall…

Twisting bilayers of two-dimensional topological insulators has the potential to create unique quantum states of matter. Here, we successfully synthesized a twisted bilayer of germanene on Ge2Pt(101) with a 21.8$^o$ degrees twist angle,…

Arising from the extreme/saddle point in electronic bands, Van Hove singularity (VHS) manifests divergent density of states (DOS) and induces various new states of matter such as unconventional superconductivity. VHS is believed to exist in…

Moir\'e superlattices formed by semiconducting transition metal dichalcogenides (TMDs) provide a highly tunable platform for investigating strongly correlated and topological quantum phases. As a prototypical example, twisted bilayer MoTe2…

We present a theoretical study of an interaction-driven quantum phase diagram of twisted bilayer MoTe$_2$ at hole filling factor $\nu_h=1$ as a function of twist angle $\theta$ and layer potential difference $V_z$, where $V_z$ is generated…

Mesoscale and Nanoscale Physics · Physics 2024-01-19 Bohao Li , Wen-Xuan Qiu , Fengcheng Wu

Twisted bilayer MoTe$_2$ (tMoTe$_2$) has emerged as a robust platform for exploring correlated topological phases, notably supporting fractional Chern insulator (FCI) states at zero magnetic field across a wide range of twist angles. The…

Understanding and tuning correlated states is of great interest and significance to modern condensed matter physics. The recent discovery of unconventional superconductivity and Mott-like insulating states in magic-angle twisted bilayer…

Recent experiments have observed possible spin- and valley-polarized insulators and spin-triplet superconductivity in twisted double bilayer graphene, a moire structure consisting of a pair of Bernal-stacked bilayer graphene. Besides the…

Strongly Correlated Electrons · Physics 2020-08-12 Yi-Ting Hsu , Fengcheng Wu , S. Das Sarma

We investigate the nonequilibrium topological phases of monolayer 1T$^\prime$--MoS$_2$ under high-frequency circularly polarized driving using a low-energy $k\!\cdot\!p$ Hamiltonian combined with a van Vleck expansion. The off-resonant…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Mohammad Mortezaei Nobahari

The interplay of high-order Van Hove singularities and topology plays a central role in determining the nature of the electronic correlations governing the phase of a system with unique signatures characterising their presence. Layered van…

Strongly Correlated Electrons · Physics 2026-01-08 David T. S. Perkins , Anirudh Chandrasekaran , Joseph J. Betouras

Experiments on twisted double bilayer tungsten diselenide have demonstrated that moir'e semiconductors can realize a relativistic Mott transition, i.e., a quantum phase transition from a Dirac semimetal to a correlated insulating state, by…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Bilal Hawashin , Julian Kleeschulte , David Kurz , Aiman Al-Eryani , Michael M. Scherer

The stacking and bending of graphene are trivial but extremely powerful agents of control over graphene's manifold physics. By changing the twist angle, one can drive the system over a plethora of exotic states via strong electron…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Jana Vejpravova , Barbara Pacakova , Mildred S. Dresselhaus , Jing Kong , Martin Kalbac

Recent experiments have observed correlated insulating and possible superconducting phases in twisted homobilayer transition metal dichalcogenides (TMDs). Besides the spin-valley locked moire bands due to the intrinsic Ising spin-orbit…

Strongly Correlated Electrons · Physics 2021-12-01 Yi-Ting Hsu , Fengcheng Wu , S. Das Sarma

Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatile platform for exploring band topology, interaction-driven phases, and magnetic orders. We study the interaction-driven phases in twisted TMD homobilayers and their…

Strongly Correlated Electrons · Physics 2024-09-12 Taige Wang , Trithep Devakul , Michael P. Zaletel , Liang Fu

Twisted van der Waals heterostructures with flat electronic bands have recently emerged as a platform for realizing correlated and topological states with an extraordinary degree of control and tunability. In graphene-based moir\'e…

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