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Physical Review X, ISSN 2160-3308, 2016, Volume 6, Issue 3, p. 031003
Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology.... 
INSULATORS | PHASE | PHYSICS, MULTIDISCIPLINARY | WEYL FERMION SEMIMETAL | ARCS | Physics - Mesoscale and Nanoscale Physics
Journal Article
Nano Letters, ISSN 1530-6984, 10/2015, Volume 15, Issue 10, pp. 6974 - 6978
Journal Article
New Journal of Physics, ISSN 1367-2630, 12/2018, Volume 20, Issue 12, p. 123002
Similar to Weyl fermions, a recently discovered topological fermion 'triple point' can be generated from the splitting of Dirac fermion in the systems with... 
Dirac fermions | Weyl fermions | topological materials | topological phase transition | electronic structure | triple points | PHYSICS, MULTIDISCIPLINARY | HALL | SEMIMETAL | TOTAL-ENERGY CALCULATIONS | Fast food industry | Brand loyalty | Symmetry
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2017, Volume 119, Issue 21, p. 213901
Topological semimetals, representing a new topological phase that lacks a full band gap in bulk states and exhibiting nontrivial topological orders, recently... 
CRYSTALS | SPIN | PHYSICS, MULTIDISCIPLINARY | WEYL POINTS | Physics - Optics
Journal Article
Physical Review Letters, ISSN 0031-9007, 09/2017, Volume 119, Issue 11, p. 113901
We theoretically demonstrate that a type-II class of tilted Dirac cones can emerge in generalized twodimensional anisotropic lattice arrangements. This is... 
SURFACE-STATES | PHYSICS, MULTIDISCIPLINARY | CONES | RINGS | TOPOLOGICAL FERMI ARCS | CRYSTALS | GRAPHENE | SEMIMETAL | WEYL POINTS
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 09/2018, Volume 474, Issue 2217, p. 20180160
We investigate the points of constancy in the piecewise constant solution profiles of the periodic linearized Korteweg-deVries equation with step function... 
Kummer sum | Dispersive quantization | Linearized Korteweg–deVries equation | Weyl sum | Point of constancy | linearized Korteweg-deVries equation | EXPONENTIAL-SUMS | point of constancy | MULTIDISCIPLINARY SCIENCES | dispersive quantization | INTEGER
Journal Article
New Journal of Physics, ISSN 1367-2630, 03/2017, Volume 19, Issue 3, p. 35001
The transition metal dipnictides TaAs2, TaSb2, NbAs2 and NbSb2 have recently sparked interest for exhibiting giant magnetoresistance. While the exact nature of... 
magnetoresistance | Weyl semimetal | chiral anomaly | Zeeman splitting | AUGMENTED-WAVE METHOD | LOCALIZED WANNIER FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | NBAS2 | TAAS2 | ELECTRONIC-STRUCTURE | TOOL | Magnetic fields | Magnetism
Journal Article
Nature Physics, ISSN 1745-2473, 2019, Volume 15, Issue 7, pp. 645 - 645
Unconventional chiral particles have recently been predicted to appear in certain three-dimensional crystal structures containing three-or more-fold linear... 
PHYSICS, MULTIDISCIPLINARY | WEYL POINTS | SEMIMETAL | Current carriers | Acoustic mapping | Relativistic theory | Metamaterials | Topology | Frequency ranges | Crystal structure
Journal Article
Physical Review Letters, ISSN 0031-9007, 04/2018, Volume 120, Issue 14, p. 146601
We show that, under a strong magnetic field, a 3D nodal-line semimetal is driven into a topological insulating phase in which the electronic transport takes... 
FERMI ARCS | WEYL | STATES | PHYSICS, MULTIDISCIPLINARY | DISCOVERY | Physics - Mesoscale and Nanoscale Physics
Journal Article
Laser & Photonics Reviews, ISSN 1863-8880, 02/2018, Volume 12, Issue 2, pp. 1700271 - n/a
Manipulation of momentum space in photonic structures has enabled a range of physical phenomena including negative refraction, slow light, enhanced... 
topological photonics | spin‐angular momentum | gyroids | Weyl points | spin-angular momentum | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | LIGHT | CRYSTALS | FERMIONS | OPTICS | Optoelectronics | Photonic crystals | Data processing | Topology | Energy gap | Biomimetics | Monopoles | Chirality | Circularity | Angular momentum | Dichroism | Quantum theory | Spintronics | Photonic band gaps
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2019, Volume 371, Issue 1, pp. 357 - 386
Let K be a number field with algebraic closure \overline K, and let S be a finite set of places of K containing all the infinite ones. Let {\it\Gamma }_0 be a... 
division group | linear forms in logarithms | Weyl sums | integral point | canonical height | Arithmetical dynamical system | multiplicative group | FORMS | MATHEMATICS | division point | Erdos-Turan theorem | logarithmic equidistribution | Koksma's inequality
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2018, Volume 121, Issue 17, p. 176601
The complex optical conductivity of the half-Heusler compound GdPtBi is measured in a frequency range from 20 to 22 000 cm(-1) (2.5 meV-2.73 eV) at... 
SURFACE | WEYL | PHYSICS, MULTIDISCIPLINARY | HEUSLER COMPOUNDS | BEHAVIOR
Journal Article
OPERATORS AND MATRICES, ISSN 1846-3886, 06/2019, Volume 13, Issue 2, pp. 349 - 361
Spectral mapping theorems for Weyl spectrum and isolated spectral points were discussed by Gramsch, Lay and Oberai, etc. In this paper, L(X) means the space of... 
MATHEMATICS | Weyl spectrum | B-Weyl spectrum | spectral mapping theorem | isolated spectral point | Weyl theorem | FREDHOLM OPERATORS
Journal Article
CHINESE PHYSICS B, ISSN 1674-1056, 07/2019, Volume 28, Issue 7, p. 77303
We discuss and illustrate the appearance of topological fermions and bosons in triple-point metals where a band crossing of three electronic bands occurs close... 
NODES | STATES | topological metals | PHYSICS, MULTIDISCIPLINARY | SEMIMETAL | topological phonons | BERRYS PHASE | THERMAL-CONDUCTIVITY | SIGNATURE | thermoelectrics | ALLOYS | SUPERCONDUCTOR | electronic structure | WEYL FERMIONS | SURFACE
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 10/2017, Volume 14, Issue 5, pp. 1 - 15
In this paper, a class of singular Sturm–Liouville problems with transmission conditions at finite interior points is studied. The equation, center and radius... 
47E05 | transmission conditions | 34B24 | limit circle | Mathematics, general | Weyl function | Mathematics | Sturm–Liouville problems | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | OPERATORS | Sturm-Liouville problems
Journal Article
Physical Review Letters, ISSN 0031-9007, 09/2017, Volume 119, Issue 13, p. 136401
We predict the existence of triple point fermions in the band structure of several half-Heusler topological insulators by ab initio calculations and the Kane... 
SURFACE-STATES | PHASE | PHYSICS, MULTIDISCIPLINARY | WEYL SEMIMETAL | DISCOVERY | ARCS | Physics - Materials Science
Journal Article
Physics Letters A, ISSN 0375-9601, 06/2019, Volume 383, Issue 17, pp. 2139 - 2144
In this work, which is based on spin-2 vectors and traceless spin-2 tensors, an effective Hamiltonian is constructed with a linearly dispersive five-fold... 
Topological band | Chern | Spin-2 | PHASE | PHYSICS, MULTIDISCIPLINARY | WEYL | DIRAC SEMIMETAL | DISCOVERY
Journal Article