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The search for artificial topological superconductivity has been limited by the stringent conditions required for its emergence. As exemplified by the recent discoveries of various correlated electronic states in twisted van der Waals…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Shawulienu Kezilebieke , Viliam Vaňo , Md N. Huda , Markus Aapro , Somesh Chandra Ganguli , Peter Liljeroth , Jose L. Lado

The work intends to extend the moir\'e physics to three dimensions. Three-dimensional moir\'e patterns can be realized in ultracold atomic gases by coupling two spin states in spin-dependent optical lattices with a relative twist, a…

Quantum Gases · Physics 2024-10-31 Ce Wang , Chao Gao , Jing Zhang , Hui Zhai , Zhe-Yu Shi

We present a review of quasi-two-dimensional organic superconductors. These systems exhibit many interesting phenomena, including reduced dimensionality, strong electron-electron and electron-phonon interactions and the proximity of…

Strongly Correlated Electrons · Physics 2009-11-07 John Singleton , Charles Mielke

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

Twistronics, which exploits moire modulation of lattice and electronic structures in twisted bilayers, has emerged as a powerful approach to engineer novel quantum states. Recent efforts have expanded beyond two dimensional van der Waals…

Many new families of quasicrystal-forming magnetic alloys have been synthesized and studied in recent years. For small changes of composition, the alloys can go from quasiperiodic to periodic (approximant crystals) while conserving most of…

Strongly Correlated Electrons · Physics 2026-03-31 Anuradha Jagannathan

The stable magnetisation configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

Exotic electronic states are realized in novel quantum materials. This field is revolutionized by the topological classification of materials. Such compounds necessarily host unique states on their boundaries. Scanning tunneling microscopy…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Nurit Avraham , Jonathan Reiner , Abhay Kumar-Nayak , Noam Morali , Rajib Batabyal , Binghai Yan , Haim Beidenkopf

Semiconductor moir\'e superlattices provide a versatile platform to engineer new quantum solids composed of artificial atoms on moir\'e sites. Previous studies have mostly focused on the simplest correlated quantum solid - the Fermi-Hubbard…

Mathematicians have been interested in non-periodic tilings of space for decades; however, it was the unexpected discovery of non-periodically ordered structures in intermetallic alloys which brought this subject into the limelight. These…

Mathematical Physics · Physics 2019-06-26 Uwe Grimm , Peter Kramer

We investigate the superconducting instabilities of twisted bilayer graphene quasicrystals (TBGQC) obtained by stacking two monolayer graphene sheets with a $30^\circ$ relative twisting. The electronic energy spectrum of TBGQC contains…

Superconductivity · Physics 2025-02-10 Rasoul Ghadimi , Bohm-Jung Yang

Quasicrystals lack translational symmetry, but can still exhibit long-ranged order, promoting them to candidates for unconventional physics beyond the paradigm of crystals. Here, we apply a real-space functional renormalization group…

Strongly Correlated Electrons · Physics 2024-04-23 Jonas B. Profe , Carsten Honerkamp , Sebastian Achilles , Dante M. Kennes

We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $\pi$-conjugated chains as representative model…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Wojciech J. Jankowski , Robert-Jan Slager , Michele Pizzochero

Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

Deterministic quasiperiodicity in quantum systems has long been associated with localization, criticality, or glassy behavior, and has therefore been believed to suppress long-range order rather than stabilize it. Here we demonstrate the…

Quantum Gases · Physics 2026-01-09 Chao Zhang

Recently, superconductivity has been observed in twisted WSe$_2$ moir\'{e} structures (Xia et al., Nature 2024; Guo et al., Nature 2025). Its transition temperature is high, reaching a few percent of the Fermi temperature scale. Here, we…

Strongly Correlated Electrons · Physics 2025-04-02 Fang Xie , Lei Chen , Shouvik Sur , Yuan Fang , Jennifer Cano , Qimiao Si

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is…

Strongly Correlated Electrons · Physics 2007-05-23 Julien Vidal , Dominique Mouhanna , Thierry Giamarchi

Quasicrystals remain among the most intriguing materials in physics and chemistry. Their structure results in many unusual properties including anomalously low friction as well as poor electrical and thermal conductivity but it also…

Quantum Gases · Physics 2020-05-01 Guido Pupillo , Primoz Ziherl , Fabio Cinti

Superconducting circuits have attracted growing interest in recent years as a promising candidate for fault-tolerant quantum information processing. Extensive efforts have always been taken to completely shield these circuits from external…