6,402 research outputs found

    Stable nontrivial Z2 topology in ultrathin Bi (111) films: a first-principles study

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    Recently, there have been intense efforts in searching for new topological insulator (TI) materials. Based on first-principles calculations, we find that all the ultrathin Bi (111) films are characterized by a nontrivial Z2 number independent of the film thickness, without the odd-even oscillation of topological triviality as commonly perceived. The stable nontrivial Z2 topology is retained by the concurrent band gap inversions at multiple time-reversal-invariant k-points and associated with the intermediate inter-bilayer coupling of the multi-bilayer Bi film. Our calculations further indicate that the presence of metallic surface states in thick Bi(111) films can be effectively removed by surface adsorption.Comment: 5 pages, 3 figure

    Clinical experience of phacoemulsification for cataract patients with angle-closure glaucoma in 29 cases

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    AIM: To observe the clinical effect of phacoemulsification with foldable intraocular lens implantation on cataract with angle-closure glaucoma. <p>METHODS: Twenty-nine cases(29 eyes)of angle-closure glaucoma with cataract underwent phacoemulsification with foldable intraocular lens implantation, and the data of visual acuity, intraocular pressure, gonioscopy and complications after operation were statistically analyzed.<p>RESULTS:Postoperatively, 28 eyes(96.5%)visual acuity were improved. Intraocular pressure of 25 eyes(86.2%)were maintained at a normal level without any IOP lowering drug, intraocular pressure of 3 eyes(10.3%)were controlled by IOP lowering eye drops, intraocular pressure of 1 eye(3.5%)returned to normal by trabeculectomy. The chamber depth of 29 eyes was increased. 8 eyes were suffered from mild corneal edema, and returned to normal after treatment. <p>CONCLUSION: Characterized by decreasing intraocular pressure, opening anterior chamber, and raising visual acuity, phacoemulsification with foldable intraocular lens implantation is a good operative therapy for primary angle-closure glaucoma complicated with cataract with preoperative goniosynechia closed ≤270°

    The growth of the number of periodic orbits for annulus homeomorphisms and non-contractible closed geodesics on Riemannian or Finsler RP2\mathbb{R}P^2

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    In this article, we give a growth rate about the number of periodic orbits in the Franks type theorem obtained by the authors \cite{LWY}. As applications, we prove the following two results: there exist infinitely many distinct non-contractible closed geodesics on RP2\mathbb{R}P^2 endowed with a Riemannian metric such that its Gaussian curvature is positive, moreover, the number of non-contractible closed geodesics of length ≤l\leq l grows at least like l2l^2; and there exist either two or infinitely many distinct non-contractible closed geodesics on Finsler RP2\mathbb{R}P^2 with reversibility λ\lambda and flag curvature KK satisfying (λ1+λ)2<K≤1\left(\frac{\lambda}{1+\lambda}\right)^2<K\le 1, furthermore, if the second case happens, then the number of non-contractible closed geodesics of length ≤l\leq l grows at least like l2l^2
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