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Dirac points in two-dimensional (2D) materials have been a fascinating subject of research, with graphene as the most prominent example. However, the Dirac points in existing 2D materials, including graphene, are vulnerable against…

Materials Science · Physics 2017-10-13 Shan Guan , Ying Liu , Zhi-Ming Yu , Shan-Shan Wang , Yugui Yao , Shengyuan A. Yang

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

We study the band structures and the associated contact points for a phosphorene superlattice made up of two periodic areas. We use the boundary conditions to extract an equation describing the dispersion relation after obtaining the…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Jilali Seffadi , Ilham Redouani , Youness Zahidi , Ahmed Jellal

We investigated proximity-induced superconductivity in a graphene-insulating InO bilayer system through gate-controlled transport measurements. Distinct oscillations in the differential conductance are observed across both the electron and…

Superconductivity · Physics 2025-04-08 Yuxiao Wu , Udit Khanna , Eyal Walach , Efrat Shimshoni , Aviad Frydman

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

We investigate superconductivity in strain-engineered graphene using a self-consistent Bogoliubov-de Gennes approach. Challenging the paradigm that the high density of states in flat bands universally enhances pairing, we identify a…

Superconductivity · Physics 2026-01-14 Tao Zhou

Engineering superlattices (SLs) - which are spatially periodic potential landscapes for electrons - is an emerging approach for the realization of exotic properties, including superconductivity and correlated insulators, in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2024-12-19 Vinay Kammarchedu , Derrick Butler , Asmaul Smitha Rashid , Aida Ebrahimi , Morteza Kayyalha

We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 J. H. Bardarson , J. Tworzydło , P. W. Brouwer , C. W. J. Beenakker

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

Twisted bilayer graphene (TBG) exhibits a wide range of intriguing physical properties, such as superconductivity, ferromagnetism, and superlubricity. Depending on the twist angle, periodic moir\'e superlattices form in twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Vahid Morovati , Zhiming Xue , Kenneth M. Liechti , Rui Huang

The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Yuan Cao , Valla Fatemi , Shiang Fang , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Pablo Jarillo-Herrero

The interlayer coupling can be used to engineer the electronic structure of van der Waals heterostructures (superlattices) to obtain properties that are not possible in a single material. So far research in heterostructures has been focused…

In stacks of two-dimensional crystals, mismatch of their lattice constants and misalignment of crystallographic axes lead to formation of moir\'{e} patterns. We show that moir\'{e} superlattice effects persist in twisted bilayer graphene…

A so-called artificial graphene is an artificial material whose low-energy carriers are described by the massless Dirac equation. Applying a periodic potential with triangular symmetry to a two-dimensional electron gas is one way to make…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Pilkwang Kim , Cheol-Hwan Park

Klein tunneling and conductance for Dirac fermions in ABC-stacked trilayer graphene (ABC-TLG) through symmetric and asymmetric double potential barriers are investigated using the two and six-band continuum model. Numerical results for our…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Abderrahim El Mouhafid , Ahmed Jellal , Miloud Mekkaoui

Superlattices are artificial periodic nanostructures which can control the flow of electrons. Their operation typically relies on the periodic modulation of the electric potential in the direction of electron wave propagation. Here we…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 Hugen Yan , Xuesong Li , Bhupesh Chandra , George Tulevski , Yanqing Wu , Marcus Freitag , Wenjuan Zhu , Phaedon Avouris , Fengnian Xia

We review the transmission of Dirac electrons through a potential barrier in the presence of circularly polarized light. A different type of transmission is demonstrated and explained. Perfect transmission for nearly head-on collision in…

Mesoscale and Nanoscale Physics · Physics 2014-08-28 Godfrey Gumbs , Danhong Huang , Andrii Iurov , Bo Gao

High-mobility graphene hosting massless charge carriers with linear dispersion provides a promising platform for electron optics phenomena. Inspired by the physics of dielectric optical micro-cavities where the photon emission…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Jule-Katharina Schrepfer , Szu-Chao Chen , Ming-Hao Liu , Klaus Richter , Martina Hentschel

Single-layer graphenes subject to periodic lateral strains are artificial crystals that can support boundary spectra with an intrinsic polarity. These are analyzed by comparing the effects of periodic magnetic fields and strain-induced…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Vo Tien Phong , E. J. Mele