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Two-component fermionic superfluids on a lattice with an external non-Abelian gauge field give access to a variety of topological phases in presence of a sufficiently large spin imbalance. We address here the important issue of…

Superconductivity · Physics 2010-12-13 A. Kubasiak , P. Massignan , M. Lewenstein

We present a unified framework to systematically embed complex knotted and linked structures, beyond the torus family, into diverse topological phases, including Hopf insulators, classical spin liquids, topological semimetals, and…

Strongly Correlated Electrons · Physics 2025-03-27 Snigdh Sabharwal

Rapid new developments have occurred in superfluid hydrodynamics since the discovery of a host of unusual phenomena which arise from the diverse structure and dynamics of quantized vortices in 3He superfluids. These have been studied in…

Superconductivity · Physics 2011-02-28 A. P. Finne , V. B. Eltsov , R. Hanninen , N. B. Kopnin , J. Kopu , M. Krusius , M. Tsubota , G. E. Volovik

Magnetic spin topological textures recently found their electrical counterparts in polar topologies emerging from the condensation of inhomogeneous polar atomic distortions. Here, we further extend the concept to other non-polar atomic…

Materials Science · Physics 2025-10-10 Fernando Gómez-Ortiz , Louis Bastogne , Philippe Ghosez

Topologically protected spin states hold great promise for applications in next generation of memory circuits and spintronic devices. These intriguing textures typically emerge in bulk materials or heterostructures with broken inversion…

We introduce structural heterogeneity, a new topological characteristic for semi-ordered materials that captures their degree of organisation at a mesoscopic level and tracks their time-evolution, ultimately detecting the order-disorder…

Topological materials have gained significant attention in condensed matter physics due to their unique electronic and transport properties. Three-dimensional (3D) topological materials are characterized by robust electronic states that are…

Materials Science · Physics 2025-01-03 Jaime Sánchez-Barriga , Oliver J. Clark , Oliver Rader

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

The superfluid $^3$He formed by spin-triplet $p$-wave Cooper pairs is a typical topological superfluid. In the superfluid $^3$He B-phase, several kinds of vortices classified by spatial symmetries $P_1$, $P_2$, and $P_3$ are produced, where…

Superconductivity · Physics 2015-04-14 Yasumasa Tsutsumi , Takuto Kawakami , Ken Shiozaki , Masatoshi Sato , Kazushige Machida

By means of quantum Monte Carlo simulations we study phase diagrams of dipolar bosons in a square optical lattice. The dipoles in the system are parallel to each other and their orientation can be fixed in any direction of the…

Quantum Gases · Physics 2022-06-15 Jin Zhang , Chao Zhang , Jin Yang , Barbara Capogrosso-Sansone

Crystalline symmetries give rise to topological invariants that can distinguish quantum phases of matter. Understanding these in strongly interacting systems is an ongoing research direction requiring non-perturbative methods. Recent…

Strongly Correlated Electrons · Physics 2026-04-23 Naren Manjunath , Maissam Barkeshli

Topological excitations keep fascinating physicists since many decades. While individual vortices and solitons emerge and have been observed in many areas of physics, their most intriguing higher dimensional topological relatives, skyrmions…

Quantum Gases · Physics 2015-01-29 Márton Kanász-Nagy , Balázs Dóra , Eugene A. Demler , Gergely Zaránd

Topological phases in magnetic materials offer novel tunability of topological properties via varying the underlying magnetism. We show that three dimensional Kitaev materials can provide a great opportunity for controlling…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Tomonari Mizoguchi , Yong Baek Kim

Spin liquids represent exotic types of quantum matter that evade conventional symmetry-breaking order even at zero temperature. Exhaustive classifications of spin liquids have been carried out in several systems, particularly in the…

Strongly Correlated Electrons · Physics 2014-11-19 Johannes Reuther , Shu-Ping Lee , Jason Alicea

Topological phases realized in time-reversal invariant (TRI) systems are foundational to experimental study of the broader canon of topological condensed matter as they do not require exotic magnetic orders for realization. We therefore…

Mesoscale and Nanoscale Physics · Physics 2025-04-02 R. Flores-Calderon , Ashley M. Cook

A chiral supersolid is a quantum phase that simultaneously exhibits crystalline order, superfluidity, and topological spin texture, with spontaneously broken translational, U(1) gauge, and chiral symmetries. Here, we demonstrate a chiral…

Quantum Gases · Physics 2025-08-21 Biao Dong , Xiao-Fei Zhang , Wei Han , Renyuan Liao , Xue-Ying Yang , Wu-Ming Liu , Yong-Chang Zhang

A topologically ordered material is characterized by a rare quantum organization of electrons that evades the conventional spontaneously broken symmetry based classification of condensed matter. Exotic spin transport phenomena such as the…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 D. Hsieh , Y. Xia , L. Wray , D. Qian , A. Pal , J. H. Dil , F. Meier , J. Osterwalder , G. Bihlmayer , C. L. Kane , Y. S. Hor , R. J. Cava , M. Z. Hasan

Cold atoms experiments offer invaluable information on superfluid dynamics, including decay cascades of topological defects. While the cascade properties are well established for Bose systems, our understanding of their behavior in Fermi…

Quantum Gases · Physics 2018-06-27 Gabriel Wlazłowski , Kazuyuki Sekizawa , Maciej Marchwiany , Piotr Magierski

A topological insulator is characterized by spin-momentum locking on its boundary. The spin momentum locking on the surface of a three dimensional topological insulator leads to the existence of a non-trivial Berry's phase which leads to…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , S. Jia , A. Fedorov , J. H. Dil , F. Meier , B. Slomski , J. Osterwalder , R. J. Cava , M. Z. Hasan