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Related papers: Photonic Shankar skyrmion

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We present a model of a topological semimetal in three dimensions (3D) whose energy spectrum exhibits a nodal line acting as a vortex ring; this in turn is linked by a pseudospin structure akin to that of a smoke ring. Contrary to a Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Lih-King Lim , Roderich Moessner

A Cm planar photonic material (two-dimensional) including the mirror reflection symmetry is explored where in the Dirac cones appeared at the high-symmetry points of the Brillouin zone boundary. By implementing the specific perturbation on…

Applied Physics · Physics 2020-05-26 J. Hajivandi , H. Kurt

Quantized responses are important tools for understanding and characterizing the universal features of topological phases of matter. In this work, we consider a class of topological crystalline insulators in $3$D with $C_n$ lattice rotation…

Strongly Correlated Electrons · Physics 2023-06-07 Julian May-Mann , Mark R. Hirsbrunner , Xuchen Cao , Taylor L. Hughes

In this work we propose a new route to describe topological excitations in magnetic systems through a single real scalar field. We show here that spherically symmetric structures in two spatial dimensions, which map helical excitations in…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 D. Bazeia , M. M. Doria , E. I. B. Rodrigues

Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topological solitons) in a 3D nonlinear photonic Chern…

Optics · Physics 2022-05-24 Rujiang Li , Pengfei Li , Yongtao Jia , Ying Liu

Electronic and topological properties of materials are derived from the interplay between crystalline symmetry and dimensionality. Simultaneously introducing 'forbidden' symmetries via quasiperiodic ordering with low-dimensionality into a…

Materials Science · Physics 2022-06-01 Jeffrey D. Cain , Amin Azizi , Matthias Conrad , Sinéad M. Griffin , Alex Zettl

Recently the possibility of achieving one-way backscatter immune transportation of light by mimicking the topological order present within certain solid state systems, such as topological insulators, has received much attention. Thus far…

Topological photonics was embarked from realizing the first-order chiral state in gyromagnetic media, but its higher-order states were mostly studied in dielectric lattice instead. In this paper we theoretically unveil a hierarchy of…

Optics · Physics 2026-01-14 Zhi-Kang Xiong , Y. Liu , Xiying Fan , Bin Zhou

We study the nucleation and collective dynamics of Shankar skyrmions [R. Shankar, Journal de Physique 38, 1405 (1977)] in the class of frustrated magnetic systems described by an SO(3) order parameter, including multi-lattice…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Ricardo Zarzuela , Héctor Ochoa , Yaroslav Tserkovnyak

The physics of phase transitions in low-dimensional systems has long been a subject of significant research interest. Long-range magnetic order in the strict two-dimensional limit, whose discovery circumvented the Mermin-Wagner theorem, has…

Paraxial light skyrmions are topological configurations that map a spatial domain of the field onto the full Poincar\'e sphere of polarization states. While optical skyrmions have been explored in continuous-wave regimes, their realization…

Optics · Physics 2025-10-17 David Marco , Luis Plaja , Carlos Hernández-García

Graphene is known as a two-dimensional Dirac semimetal, in which electron states are described by the Dirac equation of relativistic quantum mechanics. Three-dimensional analogues of graphene are characterized by Dirac points or lines in…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Ha-Jun Sung , Sunghyun Kim , In-Ho Lee , K. J. Chang

Nonlinear topological photonics is an emerging field aiming at extending the fascinating properties of topological states to the realm where interactions between the system constituents cannot be neglected. Interactions can indeed trigger…

The polariton, a quasiparticle formed by strong coupling of a photon to a matter excitation, is a fundamental ingredient of emergent photonic quantum systems ranging from semiconductor nanophotonics to circuit quantum electrodynamics.…

Quantum Gases · Physics 2024-03-21 Joonhyuk Kwon , Youngshin Kim , Alfonso Lanuza , Dominik Schneble

Light scattering from chiral plasmonic structures can create near fields with an asymmetry greater than the equivalent circularly polarised light, a property sometimes referred to as superchirality. These near fields with enhanced chiral…

We proposed a group-theory method to calculate topological invariant in bi-isotropic photonic crystals invariant under crystallographic point group symmetries. Spin Chern number has been evaluated by the eigenvalues of rotation operators at…

Optics · Physics 2016-02-11 Xiao-Dong Chen , Zi-Lan Deng , Wen-Jie Chen , Jia-Rong Wang , Jian-Wen Dong

We discuss topological electronic states described by the Dirac Hamiltonian plus an additional one in three-dimension. When the additional Hamiltonian is an element of an Abelian group, electronic states become topologically nontrivial even…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 Tetsuro Habe , Yasuhiro Asano

High-dimensional photonic states have significantly advanced the fundamentals and applications of light. However, it remains huge challenges to quantify arbitrary states in high-dimensional Hilbert spaces with spin and orbital angular…

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein