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Graphene super-structures have been widely studied but the original structure of the SU(2) Hamiltonian was never modified. We study SU(2)xSU(2) super-structures arising from spatial modulation of spin-orbit interactions and derive an…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Lucia Lenz , Dario Bercioux

The engineering of specialty lasers with unconventional mode structures is one of the modern challenges in the development of integrated coherent sources. Examples include the use of bound states in the continuum, microlasers with orbital…

In this article we discuss a procedure to solve the one dimensional (1D) Schroedinger Equation for a periodic potential, which may be well suited to teach band structure theory. The procedure is conceptually very simple, so that it may be…

Physics Education · Physics 2016-08-16 Constantino A. Utreras-Díaz

The origin of many quantum-material phenomena is intimately related to the presence of flat electronic bands. In quantum simulation, such bands have been realized through line-graph lattices, a class of lattices known to exhibit flat bands.…

Strongly Correlated Electrons · Physics 2022-05-23 Christie S. Chiu , Annette N. Carroll , Nicolas Regnault , Andrew A. Houck

Graphene- the wonder material has attracted a great deal of attention from varied fields of condensed matter physics, materials science and chemistry in recent times. Its 2D atomic layer structure and unique electronic band structure makes…

Materials Science · Physics 2011-08-23 Deep Jariwala , Anchal Srivastava , Pulickel Ajayan

The spectrum of excitations a two-dimensional, planar honeycomb lattice of two-level atoms coupled by the in-plane electromagnetic field may exhibit band gaps that can be opened either by applying an external magnetic field or by breaking…

Quantum Physics · Physics 2024-03-27 Pierre Wulles , Sergey E. Skipetrov

We present mathematical details of the construction of a topological invariant for periodically driven two-dimensional lattice systems with time-reversal symmetry and quasienergy gaps, which was proposed recently by some of us. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 David Carpentier , Pierre Delplace , Michel Fruchart , Krzysztof Gawędzki , Clément Tauber

The recent experimental observations of designer Dirac Fermions and topological phases in molecular graphene are addressed theoretically. Using scattering theory we calculate the electronic structure of finite lattices of scattering centers…

Mesoscale and Nanoscale Physics · Physics 2013-12-18 H. Hammar , P. Berggren , J. Fransson

This paper presents an analysis of the band structure of a spacetime potential lattice created by a standing electromagnetic wave. We show that there are energy band gaps. We estimate the effect, and propose a measurement that could confirm…

Quantum Physics · Physics 2009-11-08 L. P. Horwitz , E. Z. Engelberg

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…

Materials Science · Physics 2017-01-04 Seho Yi , Jin-Ho Choi , Kimoon Lee , Sung Wng Kim , Chul Hong Park , Jun-Hyung Cho

Exploratory variational pseudopotential density functional calculations are performed for the electronic properties of many-electron systems in the 3D cartesian coordinate grid (CCG). The atom-centered localized gaussian basis set,…

Chemical Physics · Physics 2015-05-18 Amlan K Roy

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

The band structure and electronic properties in a series of vinylene-linked heterocyclic conducting polymers are investigated using density functional theory (DFT). In order to accurately calculate electronic band gaps, we utilize hybrid…

Materials Science · Physics 2015-03-13 Bryan M. Wong , Joseph G. Cordaro

The chemical potential of the electron gas on a two-dimensional recttangular lattice is determined.An approximate expression for exp(-mu/T) is obtained,and its second order approximation is discussed to some extent.This result will find…

Strongly Correlated Electrons · Physics 2007-05-23 V. Celebonovic

Knowing the band structure of materials is one of the prerequisites to understand their properties. Therefore, especially in the last decades, angle-resolved photoemission spectroscopy (ARPES) has become a highly demanded experimental tool…

Materials Science · Physics 2017-10-17 A. M. Shuvaev , V. Dziom , N. N. Mikhailov , Z. D. Kvon , Y. Shao , D. N. Basov , A. Pimenov

The electronic properties of $\pi$-conjugated two-dimensional (2D) polymers near the Fermi level are determined by structural topology and chemical composition. Thus, tight-binding (TB) calculations of the corresponding fundamental network…

The interplay of topological characteristics in real space and reciprocal space can lead to the emergence of unconventional topological phases. In this Letter, we implement a novel mechanism for generating higher-Chern flat bands on the…

Strongly Correlated Electrons · Physics 2021-11-23 Yifei Guan , Oleg V. Yazyev , Alexander Kruchkov

We study the electronic structure of multilayer graphenes with a mixture of Bernal and rhombohedral stacking and propose a general scheme to understand the electronic band structure of an arbitrary configuration. The system can be viewed as…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Mikito Koshino , Edward McCann

We study flat bands of periodic graphs in a Euclidean space. These are infinitely degenerate eigenvalues of the corresponding adjacency matrix, with eigenvectors of compact support. We provide some optimal recipes to generate desired bands,…

Mathematical Physics · Physics 2023-04-28 Mostafa Sabri , Pierre Youssef

Recent experimental discoveries of graphene-stabilized patches of two-dimensional (2D) metals have motivated also their computational studies. However, so far the studies have been restricted to ideal and infinite 2D metallic monolayers,…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Janne Nevalaita , Pekka Koskinen