Half-integer
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Skyrmion Knots in Frustrated Magnets Open
A magnetic Skyrmion is a stable two-dimensional nanoparticle describing a localized winding of the magnetization in certain magnetic materials. Skyrmions are the subject of intense experimental and theoretical investigation and have potent…
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Twisted bilayer graphene. VI. An exact diagonalization study at nonzero integer filling Open
Using exact diagonalization, we research the projected Hamiltonian with the Coulomb interaction in the eight flat bands of first magic angle twisted bilayer graphene. Employing the U(4) [U(4) × U(4)] symmetries in the nonchiral (chiral) fl…
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Topological Bloch oscillations Open
Bloch oscillations originate from the translational symmetry of crystals.\nThese oscillations occur with a fundamental period that a semiclassical\nwavepacket takes to traverse a Brillouin-zone loop. We introduce a new type of\nBloch oscil…
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There are many ways to spin a photon: Half-quantization of a total optical angular momentum Open
Photons can have a half-integer angular momentum.
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Violation of cluster decomposition and absence of light cones in local integer and half-integer spin chains Open
We compute the ground-state correlation functions of an exactly solvable chain of integer spins, recently introduced in [R. Movassagh and P. W. Shor, arXiv:1408.1657], whose ground state can be expressed in terms of a uniform superposition…
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On probability measures arising from lattice points on circles Open
A circle, centered at the origin and with radius chosen so that it has non-empty intersection with the integer lattice , gives rise to a probability measure on the unit circle in a natural way. Such measures, and their weak limits, are …
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Fractional edge reconstruction in integer quantum Hall phases Open
Protected edge modes are the cornerstone of topological states of matter. The simplest example is provided by the integer quantum Hall state at Landau level filling unity, which should feature a single chiral mode carrying electronic excit…
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AdS/CFT in Fractional Dimension and Higher-Spins at One Loop Open
Large-N, ϵ -expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently that the sph…
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Mesons in a soft-wall AdS-Schwarzschild approach at low temperature Open
We derive a holographic soft-wall approach in five dimensional\nAdS-Schwarzschild space for the description of mesons at finite temperature. In\nthis first application we consider the small temperature limit and derive\nanalytical expressi…
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Observation of fractional spin textures in a Heusler material Open
Recently a zoology of non-collinear chiral spin textures has been discovered, most of which, such as skyrmions and antiskyrmions, have integer topological charges. Here we report the experimental real-space observation of the formation and…
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Self-organised fractional quantisation in a hole quantum wire Open
We have investigated hole transport in quantum wires formed by electrostatic confinement in strained germanium two-dimensional layers. The ballistic conductance characteristics show the regular staircase of quantum levels with plateaux at …
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Compact star in general F(R) gravity: Inevitable degeneracy problem and non-integer power correction Open
We investigate a compact star in the general F(R) gravity. Developing a novel formulation in the spherically symmetric and static space-time with the matter, we confirm that an arbitrary relation between the mass M and the radius Rs of the…
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Two-spinor description of massive particles and relativistic spin projection operators Open
On the basis of the Wigner unitary representations of the covering group ISL(2,C) of the Poincar\'{e} group, we obtain spin-tensor wave functions of free massive particles with arbitrary spin. The wave functions automatically satisfy the D…
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Unifying polar and nematic active matter: emergence and co-existence of half-integer and full-integer topological defects Open
The presence and significance of active topological defects is increasingly realised in diverse biological and biomimetic systems. We introduce a continuum model of polar active matter, based on conservation laws and symmetry arguments, th…
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Stable skyrmion bundles at room temperature and zero magnetic field in a chiral magnet Open
Topological spin textures are characterized by magnetic topological charges, Q , which govern their electromagnetic properties. Recent studies have achieved skyrmion bundles with arbitrary integer values of Q , opening possibilities for ex…
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Efficient transfer of DNP‐enhanced <sup>1</sup> H magnetization to half‐integer quadrupolar nuclei in solids at moderate spinning rate Open
We show herein how the proton magnetization enhanced by dynamic nuclear polarization (DNP) can be efficiently transferred at moderate magic‐angle spinning (MAS) frequencies to half‐integer quadrupolar nuclei, S ≥ 3/2, using the Dipolar‐med…
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Lattice Point Visibility on Generalized Lines of Sight Open
For a fixed $b\in\mathbb{N}=\{1,2,3,\ldots\}$ we say that a point $(r,s)$ in the integer lattice $\mathbb{Z} \times \mathbb{Z}$ is $b$-visible from the origin if it lies on the graph of a power function $f(x)=ax^b$ with $a\in\mathbb{Q}$ an…
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Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands Open
Twisted double- and mono-bilayer graphene are graphene-based moiré materials hosting strongly correlated fermions in a gate-tunable conduction band with a topologically non-trivial character. Using unbiased exact diagonalization complement…
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Anisotropy as a diagnostic test for distinct tensor-network wave functions of integer- and half-integer-spin Kitaev quantum spin liquids Open
Contrasting ground states of quantum magnets with the integer and half-integer spin moments are the manifestation of many-body quantum interference effects. In this work, we investigate the distinct nature of the integer and half-integer s…
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Residual entropy and spin fractionalizations in the mixed-spin Kitaev model Open
We investigate ground-state and finite temperature properties of the mixed-spin $(s, S)$ Kitaev model. When one of spins is half-integer and the other is integer, we introduce two kinds of local symmetries, which results in a macroscopic d…
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Half-integer Shapiro steps in strong ferromagnetic Josephson junctions Open
We report the experimental observation of half-integer Shapiro steps in the\nstrong ferromagnetic Josephson junction (Nb-NiFe-Nb) by investigating the\ncurrent-phase relation under radiofrequency microwave excitation. The\nhalf-integer Sha…
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Improved NMR transfer of magnetization from protons to half-integer spin quadrupolar nuclei at moderate and high magic-angle spinning frequencies Open
Half-integer spin quadrupolar nuclei are the only magnetic isotopes for the majority of the chemical elements. Therefore, the transfer of polarization from protons to these isotopes under magic-angle spinning (MAS) can provide precious ins…
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Discrete scattering by a pair of parallel defects Open
Scattering of a time-harmonic anti-plane shear wave due to either a pair of crack tips or a pair of rigid constraint tips on square lattice is considered. The two problems correspond to the so-called zero-offset case of scattering due to a…
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Chirality-dependent electron transport in Weyl semimetal p–n–p junctions Open
Recently discovered Weyl semimetals have received considerable research interest due to the exotic Weyl fermion-like excitations and the nontrivial π Berry phase near the band degenerate points. Here we show that by constructing a Weyl sem…
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Topological Magnetoelectric Effect: Nonlinear Time‐Reversal‐Symmetric Response, Witten Effect, and Half‐Integer Quantum Hall Effect Open
Topological insulators (TIs) in three space dimensions can be characterized by a quantized magnetoelectric coefficient. However, this coupling does not have experimentally observable consequences in the presence of time‐reversal symmetry, …
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Generation of Half-Integer Harmonics and Efficient THz-to-Visible\n Frequency Conversion in Strained Graphene Open
We study the generation of harmonics from graphene under the influence of an\nartificial magnetic field, generated via bending of a graphene flake. We show\nhow the Landau level structure induced by the pseudomagnetic field breaks the\ncen…
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Numerical modeling of a proton spin-flipping system in the spin transparency mode at an integer spin resonance in JINR's Nuclotron Open
In this paper we propose a lattice insertion for the Nuclotron ring called a “spin navigator” that can adjust any direction of the proton polarization in the orbital plane using weak solenoids. The polarization control is realized in the s…
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Geometric Progression of Optical Vortices Open
We study coaxial superpositions of Gaussian optical vortices described by a geometric progression. The topological charge (TC) is obtained for all variants of such superpositions. The TC can be either integer or half-integer in the initial…
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Ground state degeneracy in quantum spin systems protected by crystal symmetries Open
We develop a no-go theorem for two-dimensional bosonic systems with crystal symmetries: if there is a half-integer spin at a rotation center, where the point-group symmetry is $\mathbb D_{2,4,6}$, such a system must have a ground-state deg…
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Higher spin analogs of linearized topologically massive gravity and linearized new massive gravity Open
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