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Symmetry is fundamental to topological phases. In the presence of a gauge field, spatial symmetries will be projectively represented, which may alter their algebraic structure and generate novel topological phases. We show that the…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Y. X. Zhao , Yue-Xin Huang , Shengyuan A. Yang

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

The recent discovery of topological flat bands in twisted transition metal dichalcogenide homobilayers and multilayer graphene has sparked significant research interest. We propose a new platform for realizing tunable topological moire flat…

Materials Science · Physics 2025-07-08 Xilong Xu , Haonan Wang , Li Yang

We demonstrate that altermagnetism provides a field-free mechanism for stabilizing finite-momentum superconductivity in two dimensions. Using a non-perturbative static path approximation Monte Carlo approach, we show that a d-wave…

Superconductivity · Physics 2026-05-11 Amrutha N Madhusuthanan , Madhuparna Karmakar

A hard proximity-induced superconducting gap has recently been observed in semiconductor nanowire systems at low magnetic fields. However, in the topological regime at high magnetic fields, a soft gap emerges and represents a fundamental…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Constantin Schrade , Manisha Thakurathi , Christopher Reeg , Silas Hoffman , Jelena Klinovaja , Daniel Loss

Altermagnetic phase is recently found as a new magnetic phase in addition to the conventional collinear spin orders, and great efforts have been made to explore novel effects and potential applications in such materials. Here, we show that…

Materials Science · Physics 2025-03-05 Bo-Wen Yu , Bang-Gui Liu

Altermagnets are a novel class of magnetic systems characterized by their momentum-dependent spin splitting without net magnetization. In this work, we extend established Euclidean tight-binding models of altermagnets to regular hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Eric Petermann , Kristian Mæland , Haye Hinrichsen , Björn Trauzettel

Altermagnets provide a natural platform for studying and exploiting piezomagnetism. In this paper, we introduce a class of insulating altermagnets in two dimensions (2D) referred to as Dirac quadrupole altermagnets, and show based on…

Strongly Correlated Electrons · Physics 2026-04-22 H. Radhakrishnan , B. Bell , C. Ortix , J. W. F. Venderbos

Motivated by the abundance of symmetry breaking states in magic-angle twisted bilayer graphene and other two-dimensional materials, we study superconducting (SC) and charge orders in two-dimensional topological flat bands in the strong…

Strongly Correlated Electrons · Physics 2024-09-16 Penghao Zhu , Shi Feng , Yuan-Ming Lu

Magnetic topological insulators can host chiral 1D edge channels at zero magnetic field, when a magnetic gap opens at the Dirac point in the band structure of 2D topological surface states, leading to the quantum anomalous Hall effect in…

Phase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of…

Mesoscale and Nanoscale Physics · Physics 2021-06-15 C. Dutreix , M. Bellec , P. Delplace , F. Mortessagne

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

Topological defects play a critical role across many fields, mediating phase transitions and macroscopic behaviors as they move through space. Their role as robust information carriers has also generated much attention. However, controlling…

We apply a multiscale modeling approach to study lattice reconstruction in marginally twisted bilayers of transition metal dichalcogenides (TMD). For this, we develop DFT-parametrized interpolation formulae for interlayer adhesion energies…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 V. V. Enaldiev , V. Zólyomi , C. Yelgel , S. J. Magorrian , V. I. Fal'ko

We study the effects of interband pairing in two-band s-wave and d-wave superconductors with D4h symmetry in both time-reversal invariant as well as time-reversal symmetry breaking states. The presence of interband pairing qualitatively…

Superconductivity · Physics 2023-10-19 M. F. Holst , M. Sigrist , K. V. Samokhin

The electronic spectra of altermagnets are a fertile ground for nontrivial topology due to the unique interplay between time-reversal and crystalline symmetries. This is reflected in the unconventional Zeeman splitting between bands of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Daniil S. Antonenko , Rafael M. Fernandes , Jorn W. F. Venderbos

Electronic phases of matter, such as magnetism and superconductivity, are defined and distinguished by their order parameters that quantify the spontaneous symmetry breaking underlying each phase. The simplest cases are the uniform…

As the Fermi level and band structure of two-dimensional materials are readily tunable, they constitute an ideal platform for exploring Lifshitz transition, a change in the topology of a material's Fermi surface. Using tetralayer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Yanmeng Shi , Shi Che , Kuan Zhou , Supeng Ge , Ziqi Pi , Timothy Espiritu , Takashi Taniguchi , Kenji Watanabe , Yafis Barlas , Roger Lake , Chun Ning Lau

We explore the possibilities for spin-singlet superconductivity in newly discovered altermagnets. Investigating $d$-wave altermagnets, we show that finite-momentum superconductivity can easily emerge in altermagnets even though they have no…

Superconductivity · Physics 2024-03-29 Debmalya Chakraborty , Annica M. Black-Schaffer

Altermagnets combine vanishing net magnetization with nonrelativistic, momentum-dependent spin splitting, offering a new paradigm for spintronics. Spin-crystal symmetry coupling, namely spin-lattice locking, is the defining mechanism of…