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Recent theoretical and experimental works on carbon nanotubes and graphene samples have revealed that spin-orbit interactions, though customarily ignored in carbon-based materials, are more important and complex than it was thought. We…

Materials Science · Physics 2015-05-20 M. P. López-Sancho , M. C. Muñoz

We compute analytic expressions for the edge states in a zigzag Kane-Mele nanoribbon (KMNR) by solving the eigenvalue equations in presence of intrinsic and Rashba spin-orbit couplings. Owing to the P-T symmetry of the Hamiltonian the edge…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Priyanka Sinha , Sudin Ganguly , Saurabh Basu

Using a tight binding model, we theoretically study the electronic properties of zigzag boron-carbon-nitride (BCN) nanoribbons where the outermost C atoms of zigzag graphene nanoribbons are replaced with B and N atoms. We show that the flat…

Materials Science · Physics 2013-05-23 Tomoaki Kaneko , Kikuo Harigaya

Using the Tight Binding (TB) parameters extracted from Density Functional Theory (DFT) and Recursive Green's Function method, it is shown that skewed-zigzag black phosphorous (phosphorene) nanoribbons obtain large and tuneable bandgap in…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Sima Shekarforoush , Farhad Khoeini , Daryoush Shiri

We extensively characterize the electronic structure of ultra-narrow graphene nanoribbons (GNRs) with armchair edges and zig-zag termini that have 5 carbon atoms across their width (5-AGNRs), as synthesised on Au(111). Scanning tunnelling…

We develop the tight-binding model to study electronic and optical properties of graphane. The strong sp3 chemical bondings among the carbon and hydrogen atoms induce a special band structure and thus lead to the rich optical excitations.…

Materials Science · Physics 2016-10-31 M. H. Lee , H. C. Chung , J. M. Lu , C. P. Chang , M. F. Lin

Using a multi-orbital tight-binding model, we have studied the edge states of zigzag silicene, germanene, and stanene nanoribbons (ZSiNRs, ZGeNRs and ZSnNRs, respectively) in the presence of the Coulomb interaction and a vertical electric…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Ayami Hattori , Keiji Yada , Masaaki Araidai , Masatoshi Sato , Kenji Shiraishi , Yukio Tanaka

Using a continuum Dirac theory, we study the density and spin response of zigzag edge terminated graphene ribbons subjected to edge potentials and Zeeman fields. Our analytical calculations of the density and spin responses of the closed…

Mesoscale and Nanoscale Physics · Physics 2010-11-23 Somnath Bhowmick , Vijay B. Shenoy

We computed the phase diagram of the zigzag graphene nanoribbons as a function of on-site repulsion, doping, and disorder strength. The topologically ordered phase undergoes topological phase transitions into crossover phases, which are new…

Strongly Correlated Electrons · Physics 2024-04-08 Hoang Anh Le , In Hwan Lee , Young Heon Kim , S. -R. Eric Yang

Motivated by the experimental identification of magnetic compounds consisting of zigzag chains, we analyze the band structure topology of magnons in ferromagnets on a zigzag lattice. We account for the general lattice geometry by including…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Skandan Subramanian , Tom Berlijn , Lucas Lindsay , Randy S. Fishman , John W. Villanova

We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover…

Mesoscale and Nanoscale Physics · Physics 2025-09-08 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

A systematic study of the electronic properties of single layer Sb (antimonene) nanoribbons is presented. By using a 6-orbital tight-binding Hamiltonian, we study the electronic band structure of finite ribbons with zigzag or armchair…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Edo van Veen , Jin Yu , Mikhail I. Katsnelson , Rafael Roldan , Shengjun Yuan

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

We explore nanoribbons from topological two-dimensional stanene as channel material in tunnel field effect transistors. This novel technological option offers the possibility to build pure one-dimensional (1D) channel devices (comprised of…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Enrique G. Marin , Damiano Marian , Giuseppe Iannaccone , Gianluca Fiori

Using the Kane-Mele-Hubbard model in the unrestricted mean field approximation, the effect of spin-orbit coupling, as an intrinsic parameter, and an in-plane transverse electric field, as an external parameter, on the electronic and…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 J. Ghorbani , M. Ghaffarian

Matrix elements of electron-light interactions for armchair and zigzag graphene nanoribbons are constructed analytically using a tight-binding model. The changes in wavenumber ($\Delta n$) and pseudospin are the necessary elements if we are…

Materials Science · Physics 2011-09-05 K. Sasaki , K. Kato , Y. Tokura , K. Oguri , T. Sogawa

Graphene zigzag nanoribbons, initially in a topologically ordered state, undergo a topological phase transition into crossover phases distinguished by quasi-topological order. We computed mutual information for both the topologically…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 In-Hwan Lee , Hoang-Anh Le , S. -R. Eric Yang

Graphene-based nanostructures exhibit a vast range of exciting electronic properties that are absent in extended graphene. For example, quantum confinement in carbon nanotubes and armchair graphene nanoribbons (AGNRs) leads to the opening…

We have studied the adsorption of Li atoms at the hollow sites of graphene nanoribbons (zigzag and armchair), graphene, and fullerenes by means of density functional theory calculations including local and semilocal functionals. The binding…

Materials Science · Physics 2015-05-14 Chananate Uthaisar , Veronica Barone , Juan E. Peralta

We numerically compute the density of states (DOS) of interacting disordered zigzag graphene nanoribbon (ZGNR) having midgap states showing $e/2$ fractional edge charges. The computed Hartree-Fock DOS is linear at the critical disorder…

Strongly Correlated Electrons · Physics 2020-07-23 S. -R. Eric Yang , Min-Chul Cha , Hye Jeong Lee , Young Heon Kim