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The interplay of charge, spin, lattice, and orbital degrees of freedom leads to a wide range of emergent phenomena in strongly correlated systems. In heterobilayer transition metal dichalcogenide moir\'e systems, recent observations of Mott…

A new implementation of stochastic many-body perturbation theory for periodic 2D systems is presented. The method is used to compute quasiparticle excitations in twisted bilayer phosphorene. Excitation energies are studied using stochastic…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Jacob Brooks , Guorong Weng , Stephanie Taylor , Vojtech Vlcek

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…

The moir\'e pattern observed in stacked non-commensurate crystal lattices, such as hetero-bilayers of transition metal dichalcogenides, produces a periodic modulation of their bandgap. Excitons subjected to this potential landscape exhibit…

Other Condensed Matter · Physics 2021-09-08 I. R. Lavor , D. R. da Costa , L. Covaci , M. V. Milošević , F. M. Peeters , A. Chaves

Twisted bilayer transition metal dichalcogenides have emerged as important model systems for the investigation of correlated electron physics because their interaction strength, carrier concentration, band structure, and inversion symmetry…

Strongly Correlated Electrons · Physics 2021-09-01 Jiawei Zang , Jie Wang , Jennifer Cano , Andrew J. Millis

An accurate description of the low-energy electronic bands in twisted bilayer graphene (tBLG) is of great interest due to their relation to correlated electron phases, such as superconductivity and Mott-insulator behavior at half-filling.…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Daniel Bennett , Daniel T. Larson , Louis Sharma , Stephen Carr , Efthimios Kaxiras

Observation of strong correlations and superconductivity in twisted-bilayer-graphene have stimulated tremendous interest in fundamental and applied physics. In this system, the superposition of two twisted honeycomb lattices, generating a…

Quantum Gases · Physics 2023-03-14 Zengming Meng , Liangwei Wang , Wei Han , Fangde Liu , Kai Wen , Chao Gao , Pengjun Wang , Cheng Chin , Jing Zhang

Two-dimensional moir\'e materials offer a powerful, twist-tunable platform for engineering electronic bands and correlations, though most studies to date have focused on small twist angles where flat bands arise from symmetry-pinned…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Giovanny Espitia , Seung Hun Lee , Calvin Kaiyu Chiu , Junyeong Ahn , Mit H. Naik

Crystal symmetry governs the nature of electronic Bloch states. For example, in the presence of time reversal symmetry, the orbital magnetic moment and Berry curvature of the Bloch states must vanish unless inversion symmetry is broken. In…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sanfeng Wu , Jason S Ross , Grant Aivazian , Aaron Jones , Zaiyao Fei , Gui-Bin Liu , Wenguang Zhu , Di Xiao , Wang Yao , David Cobden , Xiaodong Xu

The theory of the shift current is thus far geometrical without being topological. This means that the real-space displacement/shift of a photoexcited quasiparticle depends on the geometric Berry phase, but the Berry phase is not quantized…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 A. Alexandradinata

Kondo physics and heavy-fermion behavior have been predicted and observed in moir\'e materials. The electric tunability of moir\'e materials allows an in-situ study of Kondo lattices' phase diagrams, which is not possible with their…

Mesoscale and Nanoscale Physics · Physics 2025-07-23 Antonio L. R. Manesco

Recent experimental discovery of fractional Chern insulators at zero magnetic field in moir\'e superlattices has sparked intense interests in bringing Landau level physics to flat Chern bands. In twisted MoTe$_2$ bilayers (tMoTe$_2$),…

Strongly Correlated Electrons · Physics 2025-02-25 Chong Wang , Xiao-Wei Zhang , Xiaoyu Liu , Jie Wang , Ting Cao , Di Xiao

In long-wavelength moir\'e patterns of homobilayer semiconductors, the layer pseudospin of electrons is subject to a sizable Zeeman field that is spatially modulated from the interlayer coupling in moir\'e. By interference of this spatial…

Mesoscale and Nanoscale Physics · Physics 2022-08-01 Dawei Zhai , Wang Yao

Novel superconducting phases have been found in various moir\'e heterostructures based on hexagonal lattices. However, the archetypal high-temperature superconductors (cuprates, iron-based and nickelate families) all share a square lattice…

Strongly Correlated Electrons · Physics 2026-03-13 Toshikaze Kariyado , Yusuf Wicaksono , Ashvin Vishwanath , Pavel Volkov , Zhu-Xi Luo

The long wavelength moir\'e superlattices in twisted 2D structures have emerged as a highly tunable platform for strongly correlated electron physics. We study the moir\'e bands in twisted transition metal dichalcogenide homobilayers,…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Trithep Devakul , Valentin Crépel , Yang Zhang , Liang Fu

We report a twisted triple bilayer graphene platform consisting of three units of Bernal bilayer graphene consecutively twisted at 1.49{\deg} and 1.68{\deg}. We demonstrate the atomic reconstruction between the two competing moir\'e…

Twisted heterostructures of van der Waals materials have received much attention for their many remarkable properties. Here, we present a comprehensive theory of the long-range ordered magnetic phases of twisted bilayer $\alpha$-RuCl$_3$…

Materials Science · Physics 2023-10-20 Muhammad Akram , Jesse Kapeghian , Jyotirish Das , Roser Valenti , Antia S. Botana , Onur Erten

Twisted van der Waals bilayers provide an ideal platform to study the electron correlation in solids. Of particular interest is the 30 degree twisted bilayer honeycomb lattice system, which possesses an incommensurate moire pattern and…

Materials Science · Physics 2021-03-02 Yu-Hao Shen , Wen-Yi Tong , He Hu , Jun-Ding Zheng , Chun-Gang Duan

Twisted bilayers of two-dimensional semiconductors offer a versatile platform to engineer quantum states for charge carriers using moir\'e superlattice effects. Among the systems of recent interest are twistronic MoSe${}_{2}$/WSe${}_{2}$…

Mesoscale and Nanoscale Physics · Physics 2023-11-30 Isaac Soltero , Mikhail A. Kaliteevski , James G. McHugh , Vladimir V. Enaldiev , Vladimir I. Fal'ko

Twisted bilayers of transition metal dichalcogenides (TMDC) form moir\'e superlattices resulting in moir\'e minibands in momentum space and hosting localized excitons in real space. While moir\'e superlattices provide access to Mott-Hubbard…