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Two-dimensional (2D) materials have received a lot of interest over the past decade. Especially van der Waals (vdW) 2D materials, such as transition metal dichalcogenides (TMDCs), and their heterostructures exhibit semiconducting properties…

Recent experiments on the two dimensional electron gas in various semiconductor devices have revealed an unexpected metal-insulator transition and have challenged the previously held assumption that there is no such transition in two…

Strongly Correlated Electrons · Physics 2017-02-08 Sudip Chakravarty , Steven Kivelson , Chetan Nayak , Klaus Voelker

In long-wavelength moir\'e superlattices of stacked transition metal dichalcogenides (TMDs), structural reconstruction ubiquitously occurs, which has reported to impact significantly their electronic properties. However, complete…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Kai-Hui Li , Fei-Ping Xiao , Wen Guan , Yu-Long Xiao , Chang Xu , Jin-Ding Zhang , Chen-Fang Lin , Dong Li , Qing-Jun Tong , Si-Yu Li , An-Lian Pan

Moir\'e superlattices provide a highly tunable and versatile platform to explore novel quantum phases and exotic excited states ranging from correlated insulators1-17 to moir\'e excitons7-10,18. Scanning tunneling microscopy has played a…

Generalized Wigner Crystal (GWC) is a novel quantum phase of matter driven by further-range interaction at fractional fillings of a lattice. The role of further range interaction as the driver for the incompressible state is akin to Wigner…

Strongly Correlated Electrons · Physics 2024-10-10 Yiqing Zhou , D. N. Sheng , Eun-Ah Kim

We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical…

Strongly Correlated Electrons · Physics 2026-01-06 Agnes Valenti , Vladimir Calvera , Yubo Yang , Miguel A. Morales , Steven A. Kivelson , Ilya Esterlis , Shiwei Zhang

Stripe phases, in which the rotational symmetry of charge density is spontaneously broken, occur in many strongly correlated systems with competing interactions. One representative example is the copper-oxide superconductors, where stripe…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Chenhao Jin , Zui Tao , Tingxin Li , Yang Xu , Yanhao Tang , Jiacheng Zhu , Song Liu , Kenji Watanabe , Takashi Taniguchi , James C. Hone , Liang Fu , Jie Shan , Kin Fai Mak

Moir\'e superlattices formed by transition metal dichalcogenide (TMD) heterobilayers provide a versatile platform for studying strongly correlated electronic, excitonic, and topological phenomena in solids. In particular, angle-aligned…

Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron…

Strongly Correlated Electrons · Physics 2016-08-31 S. Kodiyalam , H. A. Fertig , S. Das Sarma

Atomically thin two-dimensional (2D) materials can be vertically stacked with van der Waals bonds, which enable interlayer coupling. In the particular case of transition metal dichalcogenide (TMD) bilayers, the relative direction between…

Moir\'e superlattices in transition metal dichalcogenide (TMD) heterostructures can host novel correlated quantum phenomena due to the interplay of narrow moir\'e flat bands and strong, long-range Coulomb interactions1-5. However,…

The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG…

Strongly Correlated Electrons · Physics 2025-01-03 Conor Smith , Yixiao Chen , Ryan Levy , Yubo Yang , Miguel A. Morales , Shiwei Zhang

The topological properties of Bloch bands are intimately tied to the structure of their electronic wavefunctions within the unit cell of a crystal. Here, we show that scanning tunneling microscopy (STM) measurements on the prototypical…

We explore various properties of classical one-dimensional Wigner solids in the presence of disorder at T=0 in the context of a recently discovered Anderson transition of plasma modes in the random potential system. The extent to which the…

Disordered Systems and Neural Networks · Physics 2011-11-09 Shimul Akhanjee , Joseph Rudnick

A mismatch of atomic registries between single-layer transition metal dichalcogenides (TMDs) in a two dimensional van der Waals heterostructure produces a moir\'e superlattice with a periodic potential, which can be fine-tuned by…

Twisted 2D bilayer materials are created by artificial stacking of two monolayer crystal networks of 2D materials with a desired twisting angle $\theta$. The material forms a moir\'e superlattice due to the periodicity of both top and…

Materials Science · Physics 2022-10-11 Yang Pan , Shutong Li , Mahfujur Rahaman , Ilya Milekhin , Dietrich R. T. Zahn

A candidate for the insulating phase of the 2D electron gas, seen in high mobility 2D MOSFETS and heterojunctions, is a Wigner crystal pinned by the incipient disorder. With this in view, we study the effect of collective pinning on the…

Strongly Correlated Electrons · Physics 2009-11-10 R. Chitra , T. Giamarchi

Stacking monolayer semiconductors results in moir\'e patterns that host many correlated and topological electronic phenomena, but measurements of the basic electronic structure underpinning these phenomena are scarce. Here, we investigate…

We explore the theory of electrons confined by one dimensional power law potentials. We calculate the density profile in the high density electron gas, the low density Wigner crystal, and the intermediate regime. We extract the momentum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Erich J. Mueller

We study the sliding state of a two-dimensional Wigner crystal in a strong magnetic field and a random impurity potential. Using a high-velocity perturbation theory, we compute the nonlinear conductivity, various correlation functions, and…

Condensed Matter · Physics 2009-10-22 Xuejun Zhu , P. B. Littlewood , A. J. Millis