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Topological transitions are fundamental phenomena in electronics, photonics, and quantum technologies. However, the scalability and tunability of Topological transitions in these systems have still been constrained by their material…

Optics · Physics 2025-11-18 Bo Tian , Xi Zhang , Ruitao Wu , Yuquan Zhang , Luping Du , Xiaocong Yuan

The discoveries of numerous exciting phenomena in twisted bilayer graphene (TBG) are stimulating significant investigations on moir\'e structures that possess a tunable moir\'e potential. Optical response can provide insights into the…

Topological materials ranging from topological insulators to semimetals host many novel quantum phenomena including quantum spin Hall effect and topological Fermi arcs. Transitions between these topological phases have attracted much…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Changcang Qiao , Chen-Chia Hsu , Tao Zhang , Zhiming Sun , Dong Qian , Yang-hao Chan , Peng Chen

Moir\'e heterostructures provide a powerful framework for tailoring electronic band structures via controlled long-range periodic superlattice potentials. Beyond widely studied moir\'e-tailored flat bands, folded band structures can host…

Strongly Correlated Electrons · Physics 2026-04-29 R. Ganser , M. P. T. Masilamani , B. Geldiyev , M. M. Hirschmann , A. Consiglio , J. Schusser , D. Di Sante , M. Ünzelmann , F. Reinert

We study one-dimensional, interacting, gapped fermionic systems described by variants of the Peierls-Hubbard model and characterize their phases via a topological invariant constructed out of their Green's functions. We demonstrate that the…

Strongly Correlated Electrons · Physics 2012-11-19 Salvatore R. Manmana , Andrew M. Essin , Reinhard M. Noack , Victor Gurarie

Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number Pr=1.07. Depending on the angle of inclination and the imposed temperature difference, the flow…

Pattern Formation and Solitons · Physics 2020-08-26 Florian Reetz , Tobias M. Schneider

Moir\'e heterostructures hold the promise to provide platforms to tailor strongly correlated and topological states of matter. Here, we theoretically propose the emergence of an effective, rectangular moir\'e lattice in twisted bilayers of…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Yifan Gao , Ammon Fischer , Lennart Klebl , Martin Claassen , Angel Rubio , Li Huang , Dante Kennes , Lede Xian

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing…

Mesoscale and Nanoscale Physics · Physics 2024-03-15 Selma Franca , Adolfo G. Grushin

We develop a comprehensive theory of twisted bilayer magnetism. Starting from the first-principles calculations of two-dimensional honeycomb magnet CrI3, we construct the generic spin models that represent a broad class of twisted bilayer…

Strongly Correlated Electrons · Physics 2022-06-13 Kyoung-Min Kim , Do Hoon Kiem , Grigory Bednik , Myung Joon Han , Moon Jip Park

Recent discoveries have demonstrated that matter can be distinguished on the basis of topological considerations, giving rise to the concept of topological phase. Introduced originally in condensed matter physics, the physics of topological…

Plasma Physics · Physics 2021-07-01 Jeffrey B. Parker

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

The discovery of topological insulators and semimetals has opened up a new perspective to understand materials. Owing to the special band structure and enlarged Berry curvature, the linear responses are strongly enhanced in topological…

Materials Science · Physics 2020-05-26 Jonathan Noky , Yan Sun

We present comprehensive theoretical studies on the lattice relaxation and the electronic structures in general non-symemtric twisted trilayer graphenes. By using an effective continuum model, we show that the relaxed lattice structure…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Naoto Nakatsuji , Takuto Kawakami , Mikito Koshino

We investigate topological properties of density matrices motivated by the question to what extent phenomena like topological insulators and superconductors can be generalized to mixed states in the framework of open quantum systems. The…

Quantum Physics · Physics 2015-05-01 Jan Carl Budich , Sebastian Diehl

From studies of exotic quantum many-body phenomena to applications in spintronics and quantum information processing, topological materials are poised to revolutionize the condensed matter frontier and the landscape of modern materials…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Ningyuan Jia , Clai Owens , Ariel Sommer , David Schuster , Jonathan Simon

Moir\'e patterns are omnipresent. They are important for any overlapping periodic phenomenon, from vibrational and electromagnetic, to condensed matter. Here we show, both theoretically and via experimental simulations by ultracold atoms,…

It is well-known that in two dimensions Turing systems produce spots, stripes and labyrinthine patterns, and in three dimensions lamellar and spherical structures or their combinations are observed. We study transitions between these states…

Statistical Mechanics · Physics 2007-05-23 Teemu Leppanen , Mikko Karttunen , R. A. Barrio , Kimmo Kaski

When two periodic potentials compete in materials, one may adopt the other, which straightforwardly generates topological defects. Of particular interest are domain walls in charge-, dipole-, and spin-ordered systems, which govern…

Strongly Correlated Electrons · Physics 2019-10-09 Jae Whan Park , Gil Young Cho , Jinwon Lee , Han Woong Yeom

We explore the moir\'e magnon bands in twisted bilayer magnets with next-nearest neighboring Dzyaloshinskii-Moriya interactions, assuming that the out-of-plane collinear magnetic order is preserved under weak interlayer coupling. By…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Yu-Hang Li , Ran Cheng

We introduce topological methods for quantifying spatially heterogeneous dynamics, and use these tools to analyze particle-tracking data for a quasi-two-dimensional granular system of air-fluidized beads on approach to jamming. In…

Soft Condensed Matter · Physics 2007-08-30 A. R. Abate , D. J. Durian