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Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

Dirac-like band crossings are paradigms in condensed matter systems to emulate high-energy physics phenomena. They are associated with two aspects: gap and tilting. The ability to design sign-changing gap gives rise to band topology,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Amir Youssefi , Ahmad Motavassal , Shingo Kono , Seyed Akbar Jafari , Tobias J. Kippenberg

Controlling the bandstructure of Dirac materials is of wide interest in current research but has remained an outstanding challenge for systems such as monolayer graphene. In contrast, Bernal bilayer graphene (BLG) offers a highly flexible…

Strain engineering of graphene takes advantage of one of the most dramatic responses of Dirac electrons enabling their manipulation via strain-induced pseudo-magnetic fields. Numerous theoretically proposed devices, such as resonant…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 R. Banerjee , V. -H. Nguyen , T. Granzier-Nakajima , L. Pabbi , A. Lherbier , A. R. Binion , J. -C. Charlier , M. Terrones , E. W. Hudson

Silicene, the two-dimensional allotrope of silicon, is predicted to exist in a low-buckled honeycomb lattice, characterized by semimetallic electronic bands with graphenelike energy-momentum dispersions around the Fermi level (represented…

Materials Science · Physics 2018-01-10 A. Sindona , A. Cupolillo , F. Alessandro , M. Pisarra , D. C. Coello Fiallos , S. M. Osman , L. S. Caputi

The band spectrum of bosonic atoms in two-dimensional honeycomb optical lattices with the graphene-type structure has been studied. The dispersion laws in the bands and the one-particle spectral densities are calculated for the normal phase…

Quantum Gases · Physics 2014-10-01 I. V. Stasyuk , I. R. Dulepa , O. V. Velychko

We study the electronic states of graphene in piecewise constant potentials using the continuum Dirac equation appropriate at low energies, and a transfer matrix method. For superlattice potentials, we identify patterns of induced Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. P. Arovas , L. Brey , H. A. Fertig , Eun-Ah Kim , K. Ziegler

Nearly aligned graphene on hexagonal boron nitride (G/BN) can be accurately modeled by a Dirac Hamiltonian perturbed by smoothly varying moir\'e pattern pseudospin fields. Here, we present the moir\'e-band model of G/BN for arbitrary small…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Jeil Jung , Evan Laksono , Ashley M. DaSilva , Allan H. MacDonald , Marcin Mucha-Kruczyński , Shaffique Adam

In this article we develop an effective medium model to characterize the electron wave propagation in graphene based nanostructures with an electrostatic and magnetic vector potentials imposed on their surface. We use a numerical algorithm…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 David E. Fernandes

\textit{Holey Graphene} (HG) is a widely used graphene material for the synthesis of high-purity and highly crystalline materials. In this work, we explore the electronic properties of a periodic distribution of lattice holes, demonstrating…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

Topological insulators (TIs) are an emerging class of materials that host highly robust in-gap surface/interface states while maintaining an insulating bulk. While most notable scientific advancements in this field have been focused on TIs…

We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably, we find a robust presence and connection with pairs of…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lorenzo Resca , Nicholas A. Mecholsky , Ian L. Pegg

We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler

Twisting van der Waals heterostructures to induce correlated many-body states provides a novel tuning mechanism in solid-state physics. In this work, we theoretically investigate the fate of the surface Dirac cone of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Jennifer Cano , Shiang Fang , J. H. Pixley , Justin H. Wilson

Silicene, as the silicon analog of graphene, has been successfully fabricated by epitaxial growing on various substrates. Similar to free-standing graphene, free-standing silicene possesses a honeycomb structure and Dirac-cone-shaped energy…

Materials Science · Physics 2015-09-02 Hongxia Zhong , Ruge Quhe , Yangyang Wang , Junjie Shi , Jing Lu

In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index…

Optics · Physics 2015-10-21 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Zhenkun Wu , Yanpeng Zhang

Semi-metals are characterized by nodal band structures that give rise to exotic electronic properties. The stability of Dirac semi-metals, such as graphene in two spatial dimensions (2D), requires the presence of lattice symmetries, while…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Robert-Jan Slager , Vladimir Juricic , Ville Lahtinen , Jan Zaanen

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

The two inequivalent valleys in graphene preclude the protection against inter-valley scattering offered by an odd-number of Dirac cones characteristic of Z2 topological insulator phases. Here we propose a way to engineer a chiral…

Materials Science · Physics 2015-07-14 Yafei Ren , Xinzhou Deng , Changsheng Li , Jeil Jung , Changgan Zeng , Zhenyu Zhang , Qian Niu , Zhenhua Qiao

Energy band structure of the bilayer graphene superlattices with $\delta$-function magnetic barriers and zero average magnetic flux is studied within the four-band continuum model, using the transfer matrix method. The periodic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-09-29 C. Huy Pham , T. Thuong Nguyen , V. Lien Nguyen