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We investigate the reflection of a Gaussian beam impinging upon the surface of an epsilon-near-zero (ENZ) medium. In particular, we discuss the occurrence of Goos-H\"anchen and Imbert-Fedorov shifts. Our calculations reveal that spatial…

Optics · Physics 2020-02-19 Arttu Nieminen , Andrea marini , Marco Ornigotti

We study the interplay of general relativity, the equivalence principle, and high-precision experiments involving atomic transitions and g factor measurements. In particular, we derive a generalized Dirac Hamiltonian, which describes both…

High Energy Physics - Phenomenology · Physics 2019-04-26 Ulrich D. Jentschura

We highlight the correspondence between one-dimensional Lorentz transformations, which relate events observed from two distinct inertial reference frames, and ray transfer transformations in Gaussian optics. Specifically, we identify…

Optics · Physics 2026-01-22 M. A. Bouchene

The hexagonal warping effect on transport properties and Goos-H\"anchen (GH) lateral shift of electrons on the surface of a topological insulator with a potential barrier is investigated theoretically. Due to the warped Fermi surface for…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Hassan Ghadiri , Alireza Saffarzadeh

As a paraxial wave packet is reflected or refracted from a planar interface separating two material media, it experiences spatial and angular shifts of its center position with respect to predictions of the geometrical ray picture. These…

Optics · Physics 2025-09-09 Yahong Chen , Sergey A. Ponomarenko

Goos-Hanchen (GH) and Imbert-Fedorov (IF) shifts are lateral and transverse displacements of a wavepacket reflecting off a surface. A dramatic real-space manifestation of wavepacket phases, they have traditionally been analyzed in a model…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Li-kun Shi , Justin C. W. Song

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

We theoretically predict a giant quantized Goos-H\"{a}nchen (GH) effect on the surface of graphene in quantum Hall regime. The giant quantized GH effect manifests itself as an angular shift whose quantized step reaches the order of mrad for…

It is demonstrated that both transmission and reflection coefficients associated to the Klein paradox at a step barrier are positive and less than unity, so that the particle-antiparticle pair creation mechanism commonly linked to this…

Quantum Physics · Physics 2008-02-23 Daniela Dragoman

Recently Gouy rotation was observed with focused non-relativistic electron vortex beams. If the electrons in vortex beams are very fast we have to take into account relativistic effects to completely describe the Gouy phase on them. Exact…

Quantum Physics · Physics 2015-09-02 Robert J. Ducharme , Irismar Gonçalves da Paz

Using the energy spectrum of a system made of graphene subjected to a linear barrier potential, we study the Goos-H\"anshen shifts. The calculation is done by first determining the corresponding phase shifts via the transmission and…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 Miloud Mekkaoui , Radouane El Kinani , Ahmed Jellal

A theoretical analysis of the lateral displacement (Goos-H\"anchen shift) of spatially limited beams reflected from Attenuated Total Reflection (ATR) devices in the Otto configuration is presented when backward surface plasmon polaritons…

Optics · Physics 2015-04-29 Mariana Zeller , Mauro Cuevas , Ricardo A. Depine

The simple reflection of a light beam of finite transverse extent from a homogenous interface gives rise to a surprisingly large number of subtle shifts and deflections which can be seen as diffractive corrections to the laws of geometrical…

Optics · Physics 2012-11-15 Jörg B Götte , Mark R Dennis

Reflection and transmission of electrons scattered by a rectangular potential step in the presence of an external magnetic field parallel to the electron beam is described with the use of the Dirac equation. It is shown that in addition to…

Quantum Physics · Physics 2020-06-24 Wlodek Zawadzki , Pawel Pfeffer

Gross-Neveu model in 2+1 dimensions exhibits a continuous transition from gapless Dirac semimetal to the gapped quantum anomalous Hall (QAH) insulator at a finite (attractive) coupling, at which the inversion and time-reversal symmetry…

Strongly Correlated Electrons · Physics 2025-12-08 Gabriel Osiander Rein , Fakher F. Assaad , Igor F. Herbut

We investigate the particle-antiparticle symmetry of the gravitationally coupled Dirac equation, both on the basis of the gravitational central-field problem and in general curved space-time backgrounds. First, we investigate the…

General Physics · Physics 2019-12-20 U. D. Jentschura

We take graphene as an example to demonstrate that the present widely adopted expression is only the scattering component of a true 2D group delay in the condensed matter context, in which the spatial Goos-H\"{a}nchen (GH) shift along an…

Mesoscale and Nanoscale Physics · Physics 2012-08-09 Yu Song , Han-Chun Wu , Yong Guo

We study the inelastic scattering of two-dimensional massless Dirac fermions by an inhomogeneous time-dependent driving field. As a physical realization we consider a monolayer graphene normally illuminated with a circularly polarized laser…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 A. Huamán , Gonzalo Usaj

We studied the transport properties of electrons in graphene as they are scattered by a double barrier potential in the presence of an inhomogeneous magnetic field. We computed the transmission coefficient and Goos-H\"anchen like shifts for…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We present a theoretical study of the spatial Goos-H\"anchen shift occurring at the interface between two different photonic graphene lattices. Numerical simulations of light propagation in such a wave guiding system are also presented to…

Optics · Physics 2016-12-21 Simon Grosche , Alexander Szameit , Marco Ornigotti