scholarly journals Accurate six-band nearest-neighbor tight-binding model for the π-bands of bulk graphene and graphene nanoribbons

2011 ◽  
Vol 109 (10) ◽  
pp. 104304 ◽  
Author(s):  
Timothy B. Boykin ◽  
Mathieu Luisier ◽  
Gerhard Klimeck ◽  
Xueping Jiang ◽  
Neerav Kharche ◽  
...  
Keyword(s):  
Nearest Neighbor ◽  
Graphene Nanoribbons ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model

scholarly journals ON THE VERDET CONSTANT AND FARADAY ROTATION FOR GRAPHENE-LIKE MATERIALS

2013 ◽  
Vol 25 (04) ◽  
pp. 1350007 ◽  
Author(s):  
MIKKEL H. BRYNILDSEN ◽  
HORIA D. CORNEAN
Keyword(s):  
Taylor Expansion ◽  
Nearest Neighbor ◽  
Tight Binding ◽  
Transverse Component ◽  
Tight Binding Model ◽  
Binding Model ◽  
Gauge Invariant ◽  
Verdet Constant ◽  
Absolute Value ◽  
Computable Formula

We present a rigorous and rather self-contained analysis of the Verdet constant in graphene-like materials. We apply the gauge-invariant magnetic perturbation theory to a nearest-neighbor tight-binding model and obtain a relatively simple and exactly computable formula for the Verdet constant, at all temperatures and all frequencies of sufficiently large absolute value. Moreover, for the standard nearest-neighbor tight-binding model of graphene we show that the transverse component of the conductivity tensor has an asymptotic Taylor expansion in the external magnetic field where all the coefficients of even powers are zero.

Quantum cascade laser gain medium modeling using a second-nearest-neighbor tight-binding model

2005 ◽  
Vol 37 (6) ◽  
pp. 410-424 ◽  
Author(s):  
Jeremy Green ◽  
Timothy B. Boykin ◽  
Corrie D. Farmer ◽  
Michel Garcia ◽  
Charles N. Ironside ◽  
...  
Keyword(s):  
Quantum Cascade Laser ◽  
Nearest Neighbor ◽  
Tight Binding ◽  
Gain Medium ◽  
Tight Binding Model ◽  
Binding Model ◽  
Quantum Cascade ◽  
Laser Gain

scholarly journals Next-Nearest-Neighbor Tight-Binding Model of Plasmons in Graphene

Graphene ◽  
2013 ◽  
Vol 02 (03) ◽  
pp. 97-101 ◽  
Author(s):  
Vladimir Kadirko ◽  
Klaus Ziegler ◽  
Eugene Kogan
Keyword(s):  
Nearest Neighbor ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model

scholarly journals Possible Three-Dimensional Topological Insulator in Pyrochlore Oxides

Symmetry ◽  
2020 ◽  
Vol 12 (7) ◽  
pp. 1076
Author(s):  
Izumi Hase ◽  
Takashi Yanagisawa
Keyword(s):  
Band Structure ◽  
Topological Insulator ◽  
Nearest Neighbor ◽  
Tight Binding ◽  
Three Dimensional ◽  
Tight Binding Model ◽  
Coupling Constant ◽  
Binding Model ◽  
Effective Spin ◽  
Pyrochlore Oxides

A Kene–Mele-type nearest-neighbor tight-binding model on a pyrochlore lattice is known to be a topological insulator in some parameter region. It is an important task to realize a topological insulator in a real compound, especially in an oxide that is stable in air. In this paper we systematically performed band structure calculations for six pyrochlore oxides A2B2O7 (A = Sn, Pb, Tl; B = Nb, Ta), which are properly described by this model, and found that heavily hole-doped Sn2Nb2O7 is a good candidate. Surprisingly, an effective spin–orbit coupling constant λ changes its sign depending on the composition of the material. Furthermore, we calculated the band structure of three virtual pyrochlore oxides, namely In2Nb2O7, In2Ta2O7 and Sn2Zr2O7. We found that Sn2Zr2O7 has a band gap at the k = 0 (Γ) point, similar to Sn2Nb2O7, though the band structure of Sn2Zr2O7 itself differs from the ideal nearest-neighbor tight-binding model. We propose that the co-doped system (In,Sn)2(Nb,Zr)2O7 may become a candidate of the three-dimensional strong topological insulator.

scholarly journals Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method

2020 ◽  
Vol 233 ◽  
pp. 05011
Author(s):  
N.A. Khan ◽  
J.P. Santos Pires ◽  
J.M. Viana Parente Lopes ◽  
J.M.B. Lopes dos Santos
Keyword(s):  
Nearest Neighbor ◽  
Tight Binding ◽  
Localization Length ◽  
Polynomial Method ◽  
Tight Binding Model ◽  
Weak Disorder ◽  
Binding Model ◽  
One Dimensional ◽  
Open Boundaries ◽  
Kernel Polynomial Method

In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for α > 1 and a localization length which diverges as ξ ∝ (1 – α)–1 for α → 1–, at all energies in the weak disorder limit (as previously seen in [12]).

scholarly journals Third nearest neighbor parameterized tight binding model for graphene nano-ribbons

AIP Advances ◽  
2017 ◽  
Vol 7 (7) ◽  
pp. 075212 ◽  
Author(s):  
Van-Truong Tran ◽  
Jérôme Saint-Martin ◽  
Philippe Dollfus ◽  
Sebastian Volz
Keyword(s):  
Nearest Neighbor ◽  
Tight Binding ◽  
Tight Binding Model ◽  
Binding Model
Sign in / Sign up

Export Citation Format

Share Document