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A hallmark of symmetry-protected topological phases (SPTs) are topologically protected boundary states, which are immune to perturbations that respect the protecting symmetry. It is commonly believed that any perturbation that destroys an…

Higher-order topological phases (HOTPs) feature protected gapless modes on boundaries of higher codimension, such as the corners or hinges of a crystal. They are understood as being protected by lattice symmetries: If the latter are broken,…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Shahroze Shahab , Hui Liu , Daniel Varjas , Ion Cosma Fulga

The bound states that can occur in a superfluid vortex have recently called for attention owing to the capability of detecting them experimentally. However, a detailed theoretical account for the presence of these vortex bound states is…

Superconductivity · Physics 2019-07-01 S. Simonucci , P. Pieri , G. Calvanese Strinati

We investigate the structure of vortex-bound states in spin-singlet chiral superconductors with ($d_{x^2-y^2} \pm i d_{xy}$)-wave and ($d_{xz} \pm id_{yz}$)-wave pairing symmetries. It is found that vortices in the ($d_{xz} \pm…

Superconductivity · Physics 2016-03-15 Darrick Lee , Andreas P. Schnyder

We analyze the dynamics of BPS 3-vortex solutions. First, for unexcited vortices, we study the 2-dimensional moduli space of centred vortices with $y \to -y$ symmetry, and its metric. We identify the 1-dimensional subspaces describing the…

High Energy Physics - Theory · Physics 2025-02-24 A. Alonso-Izquierdo , N. S. Manton , J. Mateos Guilarte , M. Rees , A. Wereszczynski

We study axis-symmetric Onsager clustered states of a neutral point vortex system confined to a two-dimensional disc. Our analysis is based on the mean field of bounded point vortices in the microcanonical ensemble. The clustered vortex…

Quantum Gases · Physics 2023-08-17 Yanqi Xiong , Jiawen Chen , Xiaoquan Yu

One-dimensional valence bond solid (VBS) states represent the simplest symmetry protected topological phases. We show that their ground state entanglement spectrum contains both topological and non-topological structures. For the $SO(3)$…

Strongly Correlated Electrons · Physics 2014-06-30 Wen-Jia Rao , Guang-Ming Zhang , Kun Yang

We measure the response of a rotating sample of superfluid $^3$He-B to spin-down to rest in the zero-temperature limit. Deviations from perfect cylindrical symmetry in the flow environment cause the initial response to become turbulent. The…

Other Condensed Matter · Physics 2018-02-22 J. T. Mäkinen , V. B. Eltsov

We focus on BPS solutions of the gauged O(3) Sigma model, due to Schroers, and use these ideas to study the geometry of the moduli space. The model has an asymmetry parameter $\tau$ breaking the symmetry of vortices and antivortices on the…

High Energy Physics - Theory · Physics 2021-05-04 Rene Garcia

Motivated by the on-going rotating cryostat experiments in ISSP, Univ. of Tokyo, we explore the textures and vortices in superfluid 3He-A phase confined in narrow cylinders, whose radii are R=50mum and 115mum. The calculations are based on…

Superconductivity · Physics 2015-05-13 Y. Tsutsumi , K. Machida

We investigate a magnetic susceptibility of vortices in the B phase of multicomponent triplet superfluid $^3$He focusing on a contribution of bound fermionic states localized within vortex cores. Several order parameter configurations…

Other Condensed Matter · Physics 2011-09-15 I. M. Khaymovich , M. A. Silaev

It is suggested that the center vortex confinement mechanism, familiar in hadronic physics, may have some relevance to high-T$_\text{c}$ phenomena. We focus specifically on the transition from the superconducting phase to the pseudogap…

Strongly Correlated Electrons · Physics 2019-11-22 Jeff Greensite , Kazue Matsuyama

Steady-state turbulent motion is created in superfluid 3He-B at low temperatures in the form of a turbulent vortex front, which moves axially along a rotating cylindrical container of 3He-B and replaces vortex-free flow with vortex lines at…

Other Condensed Matter · Physics 2013-05-29 J. J. Hosio , V. B. Eltsov , R. de Graaf , P. J. Heikkinen , R. Hanninen , M. Krusius , V. S. L'vov , G. E. Volovik

We report the observation of vortex formation upon the absorption of a thermal neutron in a rotating container of superfluid $^3$He-B. The nuclear reaction n + $^3$He = p + $^3$H + 0.76MeV heats a cigar shaped region of the superfluid into…

My contribution to this collection of articles in honor of David Lee and John Reppy on their 90th birthdays is a reflection on the remarkable phenomenology of the excitation spectra of superfluid $^3$He, in particular the B-phase which was…

Superconductivity · Physics 2022-06-27 J. A. Sauls

We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

Strongly Correlated Electrons · Physics 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

Quantum Gases · Physics 2011-08-11 Harmen J. Warringa , Armen Sedrakian

We investigate a number of fermionic condensate phases on the honeycomb lattice, to determine whether topological defects (vortices and edges) in these phases can support bound states with zero energy. We argue that topological zero modes…

Superconductivity · Physics 2009-06-08 Doron L. Bergman , Karyn Le Hur

The quantitative analysis of the "catastrophic relaxation" of the coherent spin precession in $^3$He-B is presented. This phenomenon has been observed below the temperature about 0.5 T$_c$ as an abrupt shortening of the induction signal…

Soft Condensed Matter · Physics 2009-11-11 Yu. M. Bunkov , V. S. L'vov , G. E. Volovik

We study surface effects of neutron $^{3}P_{2}$ superfluids in neutron stars. $^{3}P_{2}$ superfluids are in uniaxial nematic (UN), D$_{2}$ biaxial nematic (BN), or D$_{4}$ BN phase, depending on the strength of magnetic fields from small…

Nuclear Theory · Physics 2020-03-09 Shigehiro Yasui , Chandrasekhar Chatterjee , Muneto Nitta