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We investigated a two-dimensional superfluid model immersed in a black hole spacetime and hypothesize that if a black hole collides with a thin superfluid film, it will trigger a topological phase transition within the superfluid,…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Cristian R. Ghezzi , Paulo S. Custodio

We propose a mathematical model for fluids in multiphase flows in order to establish a solid theoretical foundation for the study of their complex topology, large geometric deformations, and topological changes such as merging. Our modeling…

Algebraic Topology · Mathematics 2019-02-19 Qinghai Zhang , Zhixuan Li

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants…

Strongly Correlated Electrons · Physics 2017-05-31 Hassan Shapourian , Ken Shiozaki , Shinsei Ryu

Thermal counterflow of superfluid $^4$He past a cylinder produces quasi-steady eddies not only downstream but also anomalously upstream. However, the mechanism and organizing principles behind the observed multistable wake topologies (0-,…

Fluid Dynamics · Physics 2026-02-09 Yingxuan Hu , Wenling Huang , Shihao Yang , Limin Qiu , Wei Guo , Shiran Bao

In superfluid $^3$He-B confined in a slab geometry, domain walls between regions of different order parameter orientation are predicted to be energetically stable. Formation of the spatially-modulated superfluid stripe phase has been…

We systematically investigate the topological properties of spin polarized Rydberg-dressed fermionic atoms loaded in a bilayer optical lattice. Through tuning the Rydberg coupling strength and the inter-layer tunneling amplitude, we…

Superconductivity · Physics 2022-07-20 Ching-Yu Huang , Jiapei Zhuang , Po-Yao Chang , Daw-Wei Wang

The two known mechanisms for superflow are the gradient of the U(1) phase and the spin-orbit-gauge symmetry. We find the third mechanism, namely a spatial variation of the order-parameter morphology protected by a hidden su(2) symmetry in a…

Quantum Gases · Physics 2020-03-18 Emi Yukawa , Masahito Ueda

We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Eslam Khalaf

Supersolids are states of matter that spontaneously break two continuous symmetries: translational invariance due to the appearance of a crystal structure and phase invariance due to phase locking of single-particle wave functions,…

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio

We investigate the stability of helical superfluid phase in a spin-orbit coupled Fermi gas loaded in a bilayer optical lattice. The phase diagram of the system is constructed in the mean field framework. We investigate the topological…

Quantum Gases · Physics 2015-06-12 Xiaosen Yang , Beibing Huang , Hai-Qing Lin

Topological classification in our previous paper [K. Shiozaki and M. Sato, Phys. Rev. B ${\bf 90}$, 165114 (2014)] is extended to nonsymmorphic crystalline insulators and superconductors. Using the twisted equivariant $K$-theory, we…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Ken Shiozaki , Masatoshi Sato , Kiyonori Gomi

We prove that a system of non-interacting electrons proximity coupled to a conventional s-wave superconductor cannot realize a time reversal invariant topological phase. This is done by showing that for such a system, in either one or two…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Arbel Haim , Erez Berg , Karsten Flensberg , Yuval Oreg

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

Superfluid 3He-A displays the largest variety in vortex structure among the presently known coherent quantum systems. The experimentally verified information comes mostly from NMR measurements on the rotating fluid, from which the…

Condensed Matter · Physics 2007-05-23 R. Blaauwgeers , V. B. Eltsov , M. Krusius , J. Ruohio , R. Schanen

Twisted nodal superconductors have been shown to exhibit chiral topological superconductivity under broken time-reversal symmetry. Here we show how a time-reversal preserving topological superconductivity can be induced in nodal triplet…

Superconductivity · Physics 2024-06-12 Kevin P. Lucht , Pavel A. Volkov , J. H. Pixley

We consider a layered superconductor with a complex order parameter whose phase switches sign from one layer to the next. This system is shown to exhibit gapless superconductivity for sufficiently large interlayer pairing or interlayer…

Condensed Matter · Physics 2016-08-31 A. M. Tikofsky , D. B. Bailey

Non-Hermiticity appears ubiquitously in various open classical and quantum systems and enriches classification of topological phases. However, the role of nonsymmorphic symmetry, crystalline symmetry accompanying fractional lattice…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Daichi Nakamura , Yutaro Tanaka , Ken Shiozaki , Kohei Kawabata

Even when ideal solids are insulating, their states with crystallographic defects may have superfluid properties. It became clear recently that edge dislocations in $^4$He featuring a combination of microscopic quantum roughness and…

Quantum Gases · Physics 2025-07-28 Anatoly Kuklov , Lode Pollet , Nikolay Prokof'ev , Boris Svistunov

The single helical Fermi surface on the surface state of three-dimensional topological insulator Bi2Se3 is constrained by the time-reversal invariant bulk topology to possess a spin-singlet superconducting pairing symmetry. In fact, the…

Superconductivity · Physics 2019-07-24 P. Neha , P. K. Biswas , Tanmoy Das , S. Patnaik