Constructions of Unextendible Maximally Entangled Bases in $${{\mathbb{C}}}^{d}\otimes {{\mathbb{C}}}^{d^{\prime} }$$

Zhang, Guijun; Tao, Yuan-Hong; Han, Yi-Fan; Yong, Xin-Lei; Fei, Shao-Ming

doi:10.1038/s41598-018-21561-0

Cited by 15 publications

(8 citation statements)

References 27 publications

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“…Among other interesting effects, the presence of the Fermi arcs allows for the closed surface-bulk orbits when a magnetic field is perpendicular to a slab of Weyl semimetal. [34,48] These orbits were experimentally identified via the quantum oscillations measurements in ref. [49].…”

Section: Introductionmentioning

confidence: 99%

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

et al. 2020

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The transport properties and electron states in cylinder nanowires of Dirac and Weyl semimetals are studied paying special attention to the structure and properties of the surface Fermi arcs. The latter make the electric charge and current density distributions in nanowires strongly nonuniform as the majority of the charge density is accumulated at the surface. It is found that a Weyl semimetal wire also supports a magnetization current localized mainly at the surface because of the Fermi arcs contribution. By using the Kubo linear response approach, the direct current (DC) conductivity is calculated and it is found that its spatial profile is nontrivial. By explicitly separating the contributions of the surface and bulk states, it is shown that when the electric chemical potential and/or the radius of the wire is small, the electron transport is determined primarily by the Fermi arcs and the electrical conductivity is much higher at the surface than in the bulk. Due to the rise of the surface‐bulk transition rate, the relative contribution of the surface states to the total conductivity gradually diminishes as the chemical potential increases. In addition, the DC conductivity at the surface demonstrates noticeable peaks when the Fermi level crosses energies of the surface states.

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Section: Introductionmentioning

confidence: 99%

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

et al. 2020

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“…Weyl semimetals, three-dimensional (3D) materials with Weyl points in band structures [1][2][3][4], have attracted considerable interest [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] in recent years owing to their fundamental importance in mimicking Weyl fermions in particle physics and their exotic topological properties. In the context of solid-state materials, the linear energy band dispersion around a Weyl point determines the semimetal property with a zero density of states (DOS) at zero energy.…”

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confidence: 99%

Topological Amorphous Metals

et al. 2019

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“…DSM has also gathered significant interest because of its characteristic quantum transport originating from the non-trivial electronic structure; for examples, surface conduction based on Fermi-arcs [9] and negative magnetoresistance induced by chiral anomaly [10,11]. In paticular, the existence of novel orbital trajectories under a magnetic field, so called Weylorbit, which consists of both the surface Fermi-arcs and bulk chiral modes, has been predicted [12,13].…”

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confidence: 99%

“…This coexistence of the 2D feature and its 3D angle dependence can not be explained either by a simple 2D nor 3D model. Novel orbital trajectory, so called Weyl-orbit, has been theoretically predicted for topological semimetals under a magnetic field [12,13], where the two Fermi arcs on opposite surfaces of the sample are connected by the bulk chiral mode (N = 0 Landau level). Quantum oscillations from the Weyl-orbit occur at the following magnetic fields,…”

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confidence: 99%

Molecular beam epitaxy of three-dimensionally thick Dirac semimetal Cd3As2 films

et al. 2019

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Rapid progress of quantum transport study in topological Dirac semimetal, including observations of quantum Hall effect in two-dimensional (2D) Cd 3 As 2 samples, has uncovered even more interesting quantum transport properties in high-quality and three-dimensional (3D) samples. However, such 3D Cd 3 As 2 films with low carrier density and high electron mobility have been hardly obtained. Here we report the growth and characterization of 3D thick Cd 3 As 2 films adopting molecular beam epitaxy. The highest electron mobility (µ = 3 × 10 4 cm 2 /Vs) among the reported film samples has been achieved at a low carrier density (n = 5 × 10 16 cm −3 ). In the magnetotransport measurement, Hall plateau-like structures are commonly observed in spite of the 3D thick films (t = 120 nm). On the other hand, field angle dependence of the plateau-like structures and corresponding Shubunikov-de Haas oscillations rather shows a 3D feature, suggesting the appearance of unconventional magnetic orbit, also distinct from the one described by the semiclassical Weyl-orbit equation.

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Constructions of Unextendible Maximally Entangled Bases in $${{\mathbb{C}}}^{d}\otimes {{\mathbb{C}}}^{d^{\prime} }$$

Cited by 15 publications

References 27 publications

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

Topological Amorphous Metals

Molecular beam epitaxy of three-dimensionally thick Dirac semimetal Cd3As2 films

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