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We propose twisted bilayers of certain group IV and IVB trigonal transition metal dichalcogenides (TMDs) MX$_{2}$ (M$=$Zr, Hf, Sn and X$=$S, Se) as moir\'{e} materials. In monolayer form these TMDs have conduction band minima near the three…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Chao Lei , Perry T. Mahon , Allan H. MacDonald

We consider the dimer Hubbard model within Dynamical Mean Field Theory to study the interplay and competition between Mott and Peierls physics. We describe the various metal-insulator transition lines of the phase diagram and the break down…

Strongly Correlated Electrons · Physics 2018-01-17 O. Nájera , M. Civelli , V. Dobrosavljević , M. J. Rozenberg

Moir\'e patterns with angular mismatch in van der Waals heterostructures composed of atomically thin semiconducting materials are a fascinating platform to engineer the optically generated excitonic properties towards novel quantum…

Mesoscale and Nanoscale Physics · Physics 2020-12-17 Keisuke Shinokita , Yuhei Miyauchi , Kenji Watanabe , Takashi Taniguchi , Kazunari Matsuda

Transition metal dichalcogenide superlattices provide an exciting new platform for exploring and understanding a variety of phases of matter. The moir\'e continuum Hamiltonian, of two-dimensional jellium in a modulating potential, provides…

Strongly Correlated Electrons · Physics 2024-02-16 Yubo Yang , Miguel Morales , Shiwei Zhang

The geometry and binding energy of excitons, set by electron-hole wavefunction distributions, are fundamental factors that underpin their many-body interactions and determine optoelectronic properties of semiconductors. However, in typical…

Extended efforts have been devoted to the study of strongly-interacting excitons and their dynamics, towards macroscopic quantum states of matter such as Bose-Einstein condensates of excitons and polaritons. Momentum-direct layer-hybridized…

We consider a minimal model to investigate the quantum phases of hardcore, polarized dipolar atoms confined in multilayer optical lattices. The model is a variant of the extended Bose-Hubbard model, which incorporates intralayer repulsion…

Moir\'e superlattices open an unprecedented opportunity for tailoring interactions between quantum particles and their coupling to electromagnetic fields. Strong superlattice potential generates moir\'e minibands of excitons -- bound pairs…

Materials Science · Physics 2020-02-25 Yanhao Tang , Jie Gu , Song Liu , Kenji Watanabe , Takashi Taniguchi , James Hone , Kin Fai Mak , Jie Shan

The functional form of Coulomb interactions in the transition metal dichalcogenides and other van der Waals solids is critical to many of their unique properties, e.g. strongly-correlated electron states, superconductivity and emergent…

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald

The emerging field of twistronics, which harnesses the twist angle between two-dimensional materials, represents a promising route for the design of quantum materials, as the twist-angle-induced superlattices offer means to control topology…

Van der Waals heterostructures constitute a platform for investigating intriguing many-body quantum phenomena. In particular, transition-metal dichalcogenide (TMD) hetero-bilayers host long-lived interlayer excitons which exhibit permanent…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Daniel Erkensten , Samuel Brem , Raül Perea-Causin , Ermin Malic

Twisted two-dimensional semiconductors generate a moir\'e landscape that confines excitons (bound electron-hole pairs) into programmable lattices, offering routes to efficient light sources, sensing, and room-temperature information…

We investigated metal-insulator transitions for double layer two-dimensional electron hole systems in transition metal dicalcogenides (TMDC) stacked on opposite sides of thin layers of boron nitride (BN). The interparticle interaction is…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 S. T. Chui , Ning Wang , B. Tanatar

We describe exciton-polariton modes formed by the interaction between excitons in a 2D layer of a transition metal dichalcogenide embedded in a cylindrical microcavity and the microcavity photons. For this, an expression for the excitonic…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 José Nuno S. Gomes , Carlos Trallero-Giner , Nuno M. R. Peres , Mikhail I. Vasilevskiy

We study the Extended Bose-Hubbard Model with a three-body onsite interaction. Using an exact diagonalization method and a variational Matrix Product States algorithm, \emph{Alps mps-optim}, we compute and analyse the energy charge gap and…

Quantum Gases · Physics 2020-09-09 Henry Otobrise , Kunle Adegoke

Appropriately designed transition metal oxide heterostructures involving small band gap Mott insulators are argued to support spatially separated electron and hole gasses at equilibrium. Spatial separations and carrier densities favoring…

Strongly Correlated Electrons · Physics 2010-08-05 Andrew J. Millis , Darrell G. Schlom

Semiconductor moir\'e heterostructures exhibit rich correlation-induced many-body phenomena with signatures of emergent magnetism, Mott insulating states or generalized Wigner crystals observed in optical spectroscopy by probing intralayer…

Moir\'e superlattices can induce correlated-electronic phases in twisted van-der-Waals materials. Strongly correlated quantum phenomena emerge, such as superconductivity and the Mott-insulating state. However, moir\'e superlattices produced…

Twisted hexagonal boron nitride (thBN) exhibits emergent ferroelectricity due to the formation of moir\'e superlattices with alternating AB and BA domains. These domains possess electric dipoles, leading to a periodic electrostatic…

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