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Although much progress has been made on the physics of magic angle twisted bilayer graphene at integer fillings, little attention has been given to fractional fillings. Here we show that the three-peak structure of Wannier orbitals,…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Kevin Zhang , Yang Zhang , Liang Fu , Eun-Ah Kim

The creation of moir\'e superlattices in twisted bilayers of two-dimensional crystals has been utilised to engineer quantum material properties in graphene and transition metal dichalcogenide (TMD) semiconductors. Here, we examine the…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 J. G. McHugh , V. V. Enaldiev , V. I. Fal'ko

Experimental results indicating the existence of the high magnetic field Wigner Crystal have been available for a number of years. While variational wavefunctions have demonstrated the instability of the Laughlin liquid to a Wigner Crystal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Narevich , Ganpathy Murthy , H. A. Fertig

Transition metal dichalcogenide (TMD) bilayers have recently emerged as a robust and tunable moir\'e system for studying and designing correlated electron physics. In this work, by combining large-scale first principle calculation and…

Strongly Correlated Electrons · Physics 2020-12-30 Yang Zhang , Noah F. Q. Yuan , Liang Fu

The Wigner localization is an electron phase at low densities when the electrons are sharply localized around equilibrium positions. The simulation of the Wigner localization phenomenon requires careful treatment of the many-body…

Computational Physics · Physics 2023-06-28 Xue Quan , Huajie Chen

Moir\'e super-potentials in two-dimensional materials allow unprecedented control of the ratio between kinetic and interaction energy. By this, they pave the way to study a wide variety of strongly correlated physics under a new light. In…

Strongly Correlated Electrons · Physics 2022-01-03 Amir Dalal , Jonathan Ruhman

We report studies of pinning mode resonances of magnetic field induced bilayer Wigner crystals of bilayer hole samples with negligible interlayer tunneling and different interlayer separations d, in states with varying layer densities,…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zhihai Wang , Yong P. Chen , Han Zhu , L. W. Engel , D. C. Tsui , E. Tutuc , M. Shayegan

We have measured magnetic field dependences of the attenuation and velocity of surface acoustic waves in a high-mobility $n$-GaAs/AlGaAs structure with a wide quantum well. The results allowed us to find the complex conductance,…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 I. L. Drichko , I. Yu. Smirnov , A. V. Suslov , L. N. Pfeiffer , K. W. West , Y. M. Galperin

We consider a two-dimensional electron or hole system at zero temperature and low carrier densities, where the long-range Coulomb interactions dominate over the kinetic energy. In this limit the clean system will form a Wigner crystal.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Klaus Voelker , Sudip Chakravarty

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

Strongly Correlated Electrons · Physics 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu

Relationship among Wigner crystal, charge order and Mott insulator is studied by the path-integral renormalization group method for two-dimensional lattices with long-range Coulomb interaction. In contrast to Hartree-Fock results, the solid…

Strongly Correlated Electrons · Physics 2007-05-23 Yohei Noda , Masatoshi Imada

We theoretically study a generalized Hubbard model on moir\'e superlattices of twisted bilayers, and find very rich filling-factor-dependent quantum phase diagrams tuned by interaction strength and twist angle. Strong long-range Coulomb…

Strongly Correlated Electrons · Physics 2020-11-11 Haining Pan , Fengcheng Wu , Sankar Das Sarma

Due to the forming of low-energy flat bands, the moir\'e superlattices of the transition metal dichalcogenides are fascinating platforms for studying novel correlated states when such flat bands are fractionally filled, with the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Bingbing Wang , Junxi Yu , Cheng-Cheng Liu

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin

We study the cohesive energy and elastic properties as well as normal modes of the Wigner and bubble crystals of the two-dimensional electron system (2DES) in higher Landau levels. Using a simple Hartree-Fock approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. M. Ettouhami , F. D. Klironomos , Alan T. Dorsey

The search for theoretically predicted Wigner crystal in one-dimensional (1D) wires of structurally disordered materials exhibiting properties of charge-density-waves have remained unsuccessful. Based on the results of a low temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Atikur Rahman , Milan K. Sanyal

We review recent transport experiments that reveal two-threshold voltage-current characteristics, marked by a significant increase in noise between the two threshold voltages, at low electron densities in the insulating regime in…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Alexander A. Shashkin , Sergey V. Kravchenko

We present numerical evidence for the crystallization of magnons below the saturation field at non-zero temperatures for the highly frustrated spin-half kagome Heisenberg antiferromagnet. This phenomenon can be traced back to the existence…

Strongly Correlated Electrons · Physics 2020-09-16 J. Schnack , J. Schulenburg , A. Honecker , J. Richter

We directly visualize a two-dimensional anisotropic Wigner crystal and its quantum melting in monolayer 1T-ReSe2 using non-invasive scanning tunnelling microscopy. In crystals with anisotropic effective mass, an electron's quantum…

The metal-insulator transition (MIT) remains among the most thoroughly studied phenomena in solid state physics, but the complexity of the phenomena, which usually involves cooperation of many degrees of freedom including orbitals,…

Strongly Correlated Electrons · Physics 2019-01-29 Kristjan Haule , Gheorghe L. Pascut