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We consider superconducting properties of a two-dimensional Dirac material such as graphene under strain that produces a flat band spectrum in the normal state. We show that in the superconducting state, such a model results in a highly…

Superconductivity · Physics 2016-06-22 V. J. Kauppila , F. Aikebaier , T. T. Heikkilä

Lattice deformations in graphene couple to the low-energy electronic degrees of freedom as effective scalar and gauge fields. Using molecular dynamics simulations, we show that the optical component of the displacement field, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Christophe De Beule , Robin Smeyers , Wilson Nieto Luna , E. J. Mele , Lucian Covaci

Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity induced by strain. In this paper, we study the (semi-classical) dynamics of these…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Erik Díaz-Bautista , Maurice Oliva-Leyva

We analyze the scenario of modulating the potential strength of bound atoms in an optical honeycomb lattice patterned by an electric field to emulate uniaxial strain. This modulation can be achieved by a combination of the strength of the…

Materials Science · Physics 2023-03-06 A. López , B. Montañes , E. Medina

Topological non-trivial band structures are the core problem in the field of topological materials. In this paper, we investigate the topological band structure in a system with controllable Dirac points from the perspective of wave packet…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Dan-Dan Liang , Xin Shen , Zhi Li

Recent progress in optomechanical systems may soon allow the realization of optomechanical arrays, i.e. periodic arrangements of interacting optical and vibrational modes. We show that photons and phonons on a honeycomb lattice will produce…

Mesoscale and Nanoscale Physics · Physics 2015-08-06 M. Schmidt , V. Peano , F. Marquardt

Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene -- a honeycomb superlattice imposed on a semiconductor heterostructure -- which hosts the…

Superconductivity · Physics 2020-11-02 Tommy Li , Julian Ingham , Harley D. Scammell

We study the magnon bands of twisted bilayer honeycomb quantum magnets using linear spin wave theory. Although the interlayer coupling can be ferromagnetic or antiferromagnetic, we keep the intralayer one ferromagnetic to avoid possible…

Strongly Correlated Electrons · Physics 2021-08-11 Xingchuan Zhu , Huaiming Guo , Shiping Feng

We study tunneling across a strain-induced superlattice in graphene. In studying the effect of applied strain on the low-lying Dirac-like spectrum, both a shift of the Dirac points in reciprocal space, and a deformation of the Dirac cones…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

Lattice deformation resulting from elastic strain is known to spatially modulate the wave function overlap of the atoms on the lattice and can drastically alter the properties of the quasiparticles. Here we elaborate that a twist lattice…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Tianyu Liu , Zheng Shi

We present first-principles calculations of electronic structures of a class of two-dimensional (2D) honeycomb structures of group-V binary compounds. Our results show these new 2D materials are stable semiconductors with direct or indirect…

Materials Science · Physics 2015-12-11 Yaozhuang Nie , Mavlanjan Rahman , Daowei Wang , Can Wang , Guanghua Guo

Recent experiments reveal that a scanning tunneling microscopy (STM) probe tip can generate a highly localized strain field in a graphene drumhead, which in turn leads to pseudomagnetic fields in the graphene that can spatially confine…

We revisit the spectral problem for Bloch electrons in a two-dimensional bipartite honeycomb lattice under a uniform magnetic field. It is well-known that such a honeycomb structure is realized in graphene. We present a systematic framework…

High Energy Physics - Theory · Physics 2019-12-06 Yasuyuki Hatsuda

Strain engineering is one of the key technologies for using graphene as an electronic device: the strain-induced pseudo-gauge field reflects Dirac electrons, thus opening the so-called conduction gap. Since strain accumulates in…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Masahiko Hayashi , Hideo Yoshioka , Hikari Tomori , Akinobu Kanda

One of the intriguing characteristics of honeycomb lattices is the appearance of a pseudo-magnetic field as a result of mechanical deformation. In the case of graphene, the Landau quantization resulting from this pseudo-magnetic field has…

While "Dirac cone" dispersions can only be meaningfully defined in two dimensional (2D) systems, the notion of a Dirac point can be extended to three dimensional (3D) classical wave systems. We show that a simple cubic photonic crystal…

Materials Science · Physics 2013-11-01 Xueqin Huang , Fengming Liu , C. T. Chan

A properly strained graphene monolayer or bilayer is expected to harbour periodic pseudo-magnetic fields with high symmetry, yet to date, a convincing demonstration of such pseudo-magnetic fields has been lacking, especially for bilayer…

We prove that the two-dimensional Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities (Dirac points) at the vertices of its Brillouin zone. No assumptions…

Mathematical Physics · Physics 2012-06-19 Charles L. Fefferman , Michael I. Weinstein

We consider reduced-dimensionality models of honeycomb lattices in magnetic fields and report results about the spectrum, the density of states, self-similarity, and metal/insulator transitions under disorder. We perform a spectral analysis…

Mathematical Physics · Physics 2020-08-17 Simon Becker , Rui Han , Svetlana Jitomirskaya , Maciej Zworski

Strain engineering has emerged as a powerful tool to modify the optical and electronic properties of two-dimensional crystals. Here we perform a systematic study of strained semiconducting transition metal dichalcogenides. The effect of…

Materials Science · Physics 2015-11-24 Habib Rostami , Rafael Roldán , Emmanuele Cappelluti , Reza Asgari , Francisco Guinea