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We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 A. De Martino , L. Dell'Anna , L. Handt , A. Miserocchi , R. Egger

We investigate non-Hermitian photonic crystals in which the lossy and lossless constituents share the same real permittivity and differ only in their imaginary part. We characterize the complex band structure and reflection response of both…

Optics · Physics 2026-04-08 Jin Xu , Daniel Cui , Aaswath P. Raman

We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli contrasts. We derive the equivalent fields when the cluster of…

Analysis of PDEs · Mathematics 2020-02-24 Habib Ammari , Durga Prasad Challa , Anupam Pal Choudhury , Mourad Sini

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

Efficient transmissive pure-phase resonances are highly desirable for optical modulation and wavefront engineering. Here, we propose a novel principle to realize a pure-phase resonance in an extremely broad transmission band, as opposed to…

Optics · Physics 2023-11-16 Ki Young Lee , Kwang Wook Yoo , Francesco Monticone , Jae Woong Yoon

The novel physics of twisted bilayer graphene has motivated extensive studies of magic-angle flat bands hosted by moir\'e structures in electronic, photonic and acoustic systems. On the other hand, bound states in the continuum (BICs) have…

Optics · Physics 2022-07-13 Lei Huang , Weixuan Zhang , Xiangdong Zhang

We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the $(1/2,0)\oplus(0,1/2)$ representation of the homogeneous Lorentz group. Using $U(1)_{em}$ gauge principle we…

High Energy Physics - Phenomenology · Physics 2011-04-22 E. G. Delgado-Acosta , Mauro Napsuciale , Simon Rodriguez

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

Two-dimensional Dirac semimetal with tilted Dirac cone has recently attracted increasing interest. Tilt of Dirac cone can be realized in a number of materials, including deformed graphene, surface state of topological crystalline insulator,…

Strongly Correlated Electrons · Physics 2018-11-21 Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

We address the problem of barrier tunneling in the two-dimensional T_3 lattice (dice lattice). In particular we focus on the low-energy, long-wavelength approximation for the Hamiltonian of the system, where the lattice can be described by…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 D. F. Urban , D. Bercioux , M. Wimmer , W. Häusler

This is a numerical study of quasiparticle localization in symmetry class \textit{BD} (realized, for example, in chiral \textit{p}-wave superconductors), by means of a staggered-fermion lattice model for two-dimensional Dirac fermions with…

Mesoscale and Nanoscale Physics · Physics 2015-03-14 M. V. Medvedyeva , J. Tworzydło , C. W. J. Beenakker

Two-dimensional semimetals with tilted Dirac cones in the electronic band structure are shown to exhibit spatial separation of carriers belonging to different valleys under illumination. In stark contrast to gapped Dirac materials this…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 A. Wild , E. Mariani , M. E. Portnoi

We study a mass splitting of light vector, axial-vector and pseudoscalar mesons in isospin medium in the framework of hard-wall model. We write an effective mass definition for the interacting gauge fields and scalar field introduced in…

High Energy Physics - Theory · Physics 2016-03-23 Shahin Mamedov

We present an effective medium theory that can predict the effective permittivity and permeability of a geometrically anisotropic two-dimensional metamaterial composed with a rectangular array of elliptical cylinders. It is possible to…

Optics · Physics 2016-11-10 Xiujuan Zhang , Ying Wu

Stacking three monolayers of graphene with a twist generally produces two moir\'e patterns. A moir\'e of moir\'e structure then emerges at larger distance where the three layers periodically realign. We devise here an effective low-energy…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Yuncheng Mao , Daniele Guerci , Christophe Mora

Two-dimensional (2D) materials, especially their most prominent member, graphene, have greatly influenced many scientific areas. Moreover, they have become a base for investigating the relativistic properties of condensed matter within the…

Artificial magnetic field in electromagnetism is becoming an emerging way as a robust control of light based on its geometric and topological nature. Other than demonstrating topological photonics properties in the diffractive regime using…

Optics · Physics 2021-08-20 Fu Liu , Tao Xu , Saisai Wang , Zhi Hong Hang , Jensen Li

Unique and highly tunable optical properties of PT-symmetric systems and metamaterials enable a plenty of entirely new linear and nonlinear optical phenomena with numerous applications, e.g., for designing subdiffraction lenses,…

Optics · Physics 2019-04-15 Denis Novitsky , Alexander Shalin , Andrey Novitsky

We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized…

Materials Science · Physics 2015-06-04 Mario Silveirinha , Nader Engheta

We investigate theoretically and numerically the photonic band structure in the optical domain of an array of core-shell metal-semiconductor nanowires. Corresponding negative-index photonic bands are calculated, showing isotropic…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 D. R. Abujetas , R. Paniagua-Domínguez , M. Nieto-Vesperinas , J. A. Sánchez-Gil