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Electronic band structure for electrons bound on periodic minimal surfaces is differential-geometrically formulated and numerically calculated. We focus on minimal surfaces because they are not only mathematically elegant (with the surface…

材料科学 · 物理学 2009-11-07 H. Aoki , M. Koshino , D. Takeda , H. Morise

Massless Dirac particles on the helicoid are theoretically investigated. With its possible application being helical graphene, we explore how the peculiarities of Dirac particles appear on the curved, screw-symmetric surface. The zweibein…

介观与纳米尺度物理 · 物理学 2015-11-25 Masataka Watanabe , Hisato Komatsu , Naoto Tsuji , Hideo Aoki

We investigate the band structure of electrons bound on periodic curved surfaces. We have formulated Schr\"{o}dinger's equation with the Weierstrass representation when the surface is minimal, which is numerically solved. Bands and the…

材料科学 · 物理学 2009-11-10 H. Aoki , M. Koshino , D. Takeda , H. Morise , K. Kuroki

We present the theory describing the various surface electronic states arisen from the mixing of conduction and valence bands in a strained mercury telluride (HgTe) bulk material. We demonstrate that the strain-induced band gap in the…

介观与纳米尺度物理 · 物理学 2019-04-17 O. V. Kibis , O. Kyriienko , I. A. Shelykh

We present a theoretical study on the band structures of the electron constrained to move along triply-periodic minimal surfaces. Three well known surfaces connected via Bonnet transformations, namely P-, D-, and G-surfaces, are considered.…

材料科学 · 物理学 2009-11-11 Nobuhisa Fujita , Osamu Terasaki

The electronic band structure of Bi is calculated using state of the art electronic structure methods, including density functional theory and G$_0$W$_0$ quasiparticle approximations. The delicate ordering of states at the L point of the…

材料科学 · 物理学 2022-08-29 Christian König , James C. Greer , Stephen Fahy

A scattering method is used to calculate the surface band structure of Al(111) from 8.6 eV below the Fermi level to 9 eV above it. This method has rarely been implemented previously. The complete complex bulk and surface band structure is…

材料科学 · 物理学 2011-04-07 M. N. Read

It is demonstrated theoretically that the strong interaction between electrons in periodical structures and a high-frequency electromagnetic field suppresses the Bragg reflection of the electrons. As a result, the band gaps in electron…

介观与纳米尺度物理 · 物理学 2015-10-06 O. V. Kibis

Electron distributions produced by grazing impact of fast protons on Mg(0001), Cu(111), Ag(111) and Au(111) surfaces are investigated, focusing on the effects of the electronic band structure. The process is described within the…

原子物理 · 物理学 2015-06-18 C. D. Archubi , M. Faraggi , V. M. Silkin , M. S. Gravielle

Dirac points are found to emerge due to the crossing of bands in the electronic structure of bilayer graphene for configurations in which the alignment between two hexagonal lattices preserves the parallelism of the armchair/zigzag lines…

介观与纳米尺度物理 · 物理学 2021-06-07 V. Nam Do

Graphite is an example of a layered material that can be bent to form fullerenes which promise important applications in electronic nanodevices. The spheroidal geometry of a slightly elliptically deformed sphere was used as a possible…

材料科学 · 物理学 2007-05-23 Richard Pincak , Michal Pudlak

Band structure determines the motion of electrons in a solid, giving rise to exotic phenomena when properly engineered. Drawing an analogy between electrons and photons, artificially designed optical lattices indicate the possibility of a…

Density functional theory with local density approximation for exchange and correlation functional is used to tune the electronic band structure of silicene monolayer. The cohesive energy of free standing monolayer is increasing…

材料科学 · 物理学 2015-06-17 Gul Rahman

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

强关联电子 · 物理学 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

The electronic band structure of crystals is generally influenced by the periodic arrangement of their constituent atoms. Specifically, the emerging two-dimensional (2D) layered structures have shown different band structures with respect…

材料科学 · 物理学 2017-01-04 Seho Yi , Jin-Ho Choi , Kimoon Lee , Sung Wng Kim , Chul Hong Park , Jun-Hyung Cho

The minimal nearest-neighbor tight-binding model with the Peierls substitution is employed to describe the electronic structure of Bernal-stacked graphite subject to tilted magnetic fields. We show that while the presence of the in-plane…

介观与纳米尺度物理 · 物理学 2011-05-05 Nataliya A. Goncharuk , Ludvik Smrcka

We consider a magnetic skyrmion crystal formed at the surface of a topological insulator. Incorporating the exchange interaction between the helical Dirac surface states and the periodic N\'eel or Bloch skyrmion texture, we obtain the…

介观与纳米尺度物理 · 物理学 2022-02-15 Stefan Divic , Henry Ling , T. Pereg-Barnea , Arun Paramekanti

The electronic structure of Bernal-stacked graphite subject to tilted magnetic fields is studied theoretically. The minimal nearest-neighbor tight-binding model with the Peierls substitution is employed to describe the structure of Landau…

介观与纳米尺度物理 · 物理学 2012-08-14 Nataliya A. Goncharuk , Ludvik Smrcka

Using continuum elasticity theory, we describe the elastic behavior of helical coils with an asymmetric double-helix structure and identify conditions, under which they become very rigid. Theoretical insight gained for macro-structures…

软凝聚态物质 · 物理学 2017-06-13 David Tomanek , Arthur G. Every

A class of graphene wound into three-dimensional periodic curved surfaces ("graphitic zeolites") is proposed and their electronic structures are obtained to explore how the massless Dirac fermions behave on periodic surfaces. We find in the…

介观与纳米尺度物理 · 物理学 2016-02-17 Mikito Koshino , Hideo Aoki
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