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Ordered media often support vortex structures with intriguing topological properties. Here, we investigate non-Abelian vortices in tetrahedral order, which appear in the cyclic phase of spin-2 Bose--Einstein condensates and in the…

Quantum Gases · Physics 2023-08-22 Hermanni Rajamäki , Toni Annala , Mikko Möttönen

Recent vigorous investigations of topological order have not only discovered new topological states of matter but also shed new light to "already known" topological states. One established example with topological order is the valence bond…

High Energy Physics - Theory · Physics 2013-04-30 Kazuki Hasebe , Keisuke Totsuka

Topology profoundly influences diverse fields of science, providing a powerful framework for classifying phases of matter and predicting nontrivial excitations, such as solitons, vortices, and skyrmions. These topological defects are…

Topological matter in 3D is characterized by the presence of a topological BF term in its long-distance effective action. We show that, in 3D, there is another marginal term that must be added to the action in order to fully determine the…

Strongly Correlated Electrons · Physics 2015-05-27 M. Cristina Diamantini , Pasquale Sodano , Carlo A. Trugenberger

Particle-like topological magnetic defects that can propagate in all spatial directions open a new dimension for design of magnetic memory and data processing devices. We show that three-dimensional magnetic skyrmions can be stabilized in…

Strongly Correlated Electrons · Physics 2022-01-04 Evgenii Barts , Maxim V. Mostovoy

Observation of topological phases beyond two-dimension (2D) has been an open challenge for ultracold atoms. Here, we realize for the first time a 3D spin-orbit coupled nodal-line semimetal in an optical lattice and observe the bulk line…

Quantum Gases · Physics 2019-08-01 Bo Song , Chengdong He , Sen Niu , Long Zhang , Zejian Ren , Xiong-Jun Liu , Gyu-Boong Jo

Superconductors exhibit unconventional electronic and magnetic properties if the Cooper pair wave function breaks additional symmetries of the normal phase. Rotational symmetries in spin- and orbital spaces, as well as discrete symmetries…

Superconductivity · Physics 2010-11-16 J. A. Sauls , M. Eschrig

We study an effective model of two interacting species of bosons in two dimensions, which is amenable to sign problem free Monte Carlo simulations. In addition to conventional ground states, we access a paired superfluid which is also a…

Strongly Correlated Electrons · Physics 2016-04-06 Snir Gazit , Ashvin Vishwanath

Symmetry breaking phase transitions from less to more ordered phases will typically produce topological defects in the ordered phase. Kibble-Zurek theory predicts that for any second-order phase transition, such as the early universe, the…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Alexander J. Shook , Daksh Malhotra , Aymar Muhikira , Vaisakh Vadakkumbatt , John P. Davis

The vortex line density of turbulent superfluid He3-B at very low temperature is deduced by detecting the shadow of ballistic quasiparticles which are Andreev reflected by quantized vortices. Until now the measured total shadow has been…

Statistical Mechanics · Physics 2009-11-13 C. F. Barenghi , Y. A. Sergeev , N. Suramlishvili , P. J. van Dijk

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under…

Quantum Gases · Physics 2015-06-15 Shi-Liang Zhu , Z. D. Wang , Y. -H. Chan , L. -M. Duan

One of the most sought-after objects in topological quantum matter systems is a vortex carrying half a quantum of circulation. They were originally predicted to exist in superfluid 3He-A, but have never been resolved there. Here we report…

Other Condensed Matter · Physics 2016-12-21 S. Autti , V. V. Dmitriev , J. T. Mäkinen , A. A. Soldatov , G. E. Volovik , A. N. Yudin , V. V. Zavjalov , V. B. Eltsov

Topological magnetic (anti)skrymions are robust string-like objects heralded as potential components in next-generation topological spintronics devices due to their manipulability via low-energy stimuli such as magnetic fields, heat, and…

Crystalline symmetries have played a central role in the identification of topological materials. The use of symmetry indicators and band representations have enabled a classification scheme for crystalline topological materials, leading to…

Band topology, or global wave-function structure that enforces novel properties in the bulk and on the surface of crystalline materials, is currently under intense investigations for both fundamental interest and its technological promises.…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Weiliang Yao , Chenyuan Li , Lichen Wang , Shangjie Xue , Yang Dan , Kazuki Iida , Kazuya Kamazawa , Kangkang Li , Chen Fang , Yuan Li

Spin liquids are exotic quantum states characterized by the existence of fractional and deconfined quasiparticle excitations, referred to as spinons and visons. Their fractional nature establishes topological properties such as a protected…

Strongly Correlated Electrons · Physics 2017-12-20 Jonas Sonnenschein , Johannes Reuther

Supersolid is a long-sought exotic phase of matter, which is characterized by the coexistence of a diagonal long-range order of solid and an off-diagonal long-range order of superfluid. Possible candidates to realize such a phase have been…

Quantum Gases · Physics 2016-08-10 Wei Han , Gediminas Juzeliūnas , Wei Zhang , Wu-Ming Liu

Observing the structure of quantized vortices can provide evidence for the pairing nature of a superfluid or superconductor and pinpoint its order parameter. Spin-triplet superfluid $^3$He supports a variety of vortices, calculated and…

Superconductivity · Physics 2026-04-15 Riku Rantanen , Mikael Huppunen , Erkki Thuneberg , Vladimir Eltsov

Dirac fermions in $2+1$ dimensions with dynamically generated anticommuting SO(3) antiferromagnetic (AFM) and Z$_2$ Kekul\'e valence-bond solid (KVBS) masses map onto a field theory with a topological $\theta$-term. This term provides a…

Strongly Correlated Electrons · Physics 2021-10-13 Toshihiro Sato , Martin Hohenadler , Tarun Grover , John McGreevy , Fakher F. Assaad

Persistent topological defects and textures are particularly dramatic consequences of superfluidity. Among the most fascinating examples are the singular vortices arising from the rotational symmetry group SO(3), with surprising topological…

Quantum Gases · Physics 2020-07-01 L. S. Weiss , M. O. Borgh , A. Blinova , T. Ollikainen , M. Möttönen , J. Ruostekoski , D. S. Hall