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Topological materials may exhibit Hall-like currents flowing transversely to the applied electric field even in the absence of a magnetic field. In graphene superlattices, which have broken inversion symmetry, topological currents…

The electronic transport properties of graphene-based superlattice structures are investigated. A graphene-based modulation-doped superlattice structure geometry is proposed and consist of periodically arranged alternate layers:…

Mesoscale and Nanoscale Physics · Physics 2013-11-25 Dima Bolmatov , Chung-Yu Mou

We study a novel type of graphene-based superlattices formed owing to a periodic modulation of the Fermi surface. Such a modulation is possible for graphene deposited on a striped substrate made of materials with substantially different…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 P. V. Ratnikov , A. P. Silin

We consider a junction between two topological insulators, and calculate the properties of the interface states with an effective low energy Hamiltonian for topological insulators with a single cone on the surface. This system bears a close…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Christophe De Beule , Bart Partoens

Zigzag graphene nanoribbons patterned on graphane are studied using spin-polarized ab initio calculations. We found that the electronic and magnetic properties of the graphene/graphane superlattice strongly depends on the degree of…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 A. D. Hernandez-Nieves , B. Partoens , F. M. Peeters

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

While the Dirac band structure of graphene has established it as a leading platform for ultrafast optoelectronics, its non-perturbative nonlinear response under intense excitation remains poorly understood. Here, we report ultrafast…

Optics · Physics 2026-04-27 Xiaolong Lv , Yu Zhang , Yuxuan Wei , Chuanshan Tian

Tridiagonal $k$-Toeplitz operators provide a natural framework for modelling one-dimensional $k$-periodic lattice systems. A fundamental connection is obtained between Coburn's lemma for tridiagonal $k$-Toeplitz operators and the existence…

Spectral Theory · Mathematics 2026-04-23 Yannick de Bruijn , Erik Orvehed Hiltunen

In this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model and use the transfer matrix method to solve the Dirac-like…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Jonas R. F. Lima , Anderson L. R. Barbosa , C. G. Bezerra , Luiz Felipe C. Pereira

This work presents a rigorous theory for topological photonic materials in one dimension. The main focus is on the existence and stability of interface modes that are induced by topological properties of the bulk structure. For a general 1D…

Mathematical Physics · Physics 2022-12-28 Junshan Lin , Hai Zhang

Topological photonic insulators show promise for applications in compact integrated photonic circuits due to their ability to transport light robustly through sharp bendings. The number of topological edge states relies on the difference…

Applied Physics · Physics 2024-01-19 Weiyuan Tang , Mudi Wang , Shaojie Ma , C. T. Chan , Shuang Zhang

This paper reports on the topological effects of three-dimensional (3D) porous graphene with tunable pore sizes and a preserved 2D graphene system of Dirac quasiparticles on its electrical properties. This 3D architecture is characterized…

Materials Science · Physics 2020-02-20 Takuya Okamoto , Yoshikazu Ito , Naoka Nagamura , Keishi Akada , Takeshi Fujita , Yukio Kawano

Topological transitions are fundamental phenomena in electronics, photonics, and quantum technologies. However, the scalability and tunability of Topological transitions in these systems have still been constrained by their material…

Optics · Physics 2025-11-18 Bo Tian , Xi Zhang , Ruitao Wu , Yuquan Zhang , Luping Du , Xiaocong Yuan

Dirac energy-dispersions are responsible of the extraordinary transport properties of graphene. This motivated the quest for engineering such energy dispersions also in photonics, where they have been predicted to lead to many exciting…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Erik P. Navarro-Barón , Herbert Vinck-Posada , Alejandro González-Tudela

We explore the emergence and active control of optical bistability in a two-level atom near a graphene sheet. Our theory incorporates self-interaction of the optically-driven atom and its coupling to electromagnetic vacuum modes, both of…

Quantum Physics · Physics 2023-01-24 Mikkel Have Eriksen , Jakob E. Olsen , Christian Wolff , Joel D. Cox

Quite recently a novel variety of unconventional fourfold linear band degeneracy points has been discovered in certain condensed-matter systems. Contrary to the standard 3-D Dirac monopoles, these quadruple points referred to as the…

Optics · Physics 2019-12-17 Mengying Hu , Kun Ding , Tong Qiao , Xi Jiang , Qiang Wang , Shining Zhu , Hui Liu

A graphene superlattice is formed by a one-dimensional periodic potential and is characterized by the emergence of new Dirac points in the electronic structure. The group velocity of graphene's massless Dirac fermions at the new points is…

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Graphene has exceptional optical, mechanical and electrical properties, making it an emerging material for novel optoelectronics, photonics and for flexible transparent electrode applications. However, the relatively high sheet resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 Guang-Xin Ni , Yi Zheng , Sukang Bae , Chin Yaw Tan , Orhan Kahya , Jing Wu , Byung Hee Hong , Kui Yao , Barbaros Özyilmaz

Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…