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In this paper, we use Floquet theory to theoretically study the effect of monochromatic circularly and linearly polarized light on the Hofstadter butterfly in the square lattice, which is induced by uniform perpendicular magnetic field. In…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Ming Zhao , Qi Chen , Xue-Dong Tian , Liang Du

The properties of the Hofstadter butterfly, a fractal, self similar spectrum of a two dimensional electron gas, are studied in the case where the system is additionally illuminated with monochromatic light. This is accomplished by applying…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Martin Wackerl , Paul Wenk , John Schliemann

The magnetic field generated Hofstadter butterfly in single-twist trilayer graphene (TLG) is investigated using circularly polarized light (CPL) and longitudinal light emanating from a waveguide. We show that single-twist TLG has two…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Nadia Benlakhouy , Ahmed Jellal , Hocine Bahlouli

We investigate theoretically the spectrum of a graphene-like sample (honeycomb lattice) subjected to a perpendicular magnetic field and irradiated by circularly polarized light. This system is studied using the Floquet formalism, and the…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 S. H. Kooi , A. Quelle , W. Beugeling , C. Morais Smith

In this work we use Floquet-Bloch theory to study the influence of circularly and linearly polarized light on two-dimensional band structures with semi-Dirac band touching points, taking the anisotropic nearest neighbor hopping model on the…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Qi Chen , Liang Du , Gregory A. Fiete

We study the magnetic field induced Hofstadter butterfly in twisted bilayer graphene (TBG) in various kinds of situations. First, we study the equilibrium case and identify the interlayer hopping processes that are most crucial for the…

Mesoscale and Nanoscale Physics · Physics 2022-04-04 Nadia Benlakhouy , Ahmed Jellal , Hocine Bahlouli , Michael Vogl

The self-similar energy spectrum of a particle in a periodic potential under a magnetic field, known as the Hofstadter butterfly, is determined by the lattice geometry as well as the external field. Recent realizations of artificial gauge…

Quantum Gases · Physics 2017-07-05 F. Yılmaz , M. Ö. Oktel

Energy bands of electrons in a square lattice potential threaded by a uniform magnetic field exhibit a fractal structure known as the Hofstadter butterfly. Here we study a Fermi gas in a 2D optical lattice within a linear cavity with a tilt…

Quantum Gases · Physics 2020-02-06 Elvia Colella , Farokh Mivehvar , Francesco Piazza , Helmut Ritsch

Magnetic exchange couplings can be tuned by coupling to periodic light, where the frequency and amplitude are typically varied: a process known as Floquet engineering. The polarization of the light is also important, and in this paper, we…

Strongly Correlated Electrons · Physics 2021-05-04 V. L. Quito , Rebecca Flint

This study explores the impact of a strong perpendicular laser field on the electronic structure and optical conductivity of bilayer graphene. Employing the Floquet-Bloch theorem and a four-band Hamiltonian model, we calculate the optical…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 S. Sajad Dabiri , Hosein Cheraghchi , Fatemeh Adinehvand , Reza Asgari

In this work we theoretically study, using Floquet-Bloch theory, the influence of circularly and linearly polarized light on two-dimensional band structures with Dirac and quadratic band touching points, and flat bands, taking the nearest…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Liang Du , Xiaoting Zhou , Gregory A. Fiete

We study the Hofstadter butterfly spectrum in (1+3+1) chirally twisted multilayer graphene (CTMLG) subject to perpendicular magnetic field and light with different polarizations. We focus on the interplay between twist angles and…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Nadia Benlakhouy , Ahmed Jellal , Hocine Bahlouli , Pablo Díaz , David Laroze

We introduce the magnonic Floquet Hofstadter butterfly in the two-dimensional insulating honeycomb ferromagnet. We show that when the insulating honeycomb ferromagnet is irradiated by an oscillating space- and time-dependent electric field,…

Strongly Correlated Electrons · Physics 2018-10-29 S. A. Owerre

We analyzed polarization changes of light diffracted on planar chiral array from the standpoint of the Lorentz reciprocity lemma and found the bi-orthogonality in the polarization eigenstates for the waves diffracting though the grating in…

Materials Science · Physics 2009-09-29 S. L. Prosvirnin , N. I. Zheludev

Motivated by the recent experimental realization of twisted trilayer graphene and the observed superconductivity that is associated with its flat bands at specific angles, we study trilayer graphene under the influence of different forms of…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 I. A. Assi , J. P. F. LeBlanc , Martin Rodriguez-Vega , Hocine Bahlouli , Michael Vogl

Friedel's law states that the modulus of the Fourier transform of real functions is centrosymmetric, while the phase is antisymmetric. As a consequence of this, elastic scattering of plane wave photons or electrons within the first-order…

Optics · Physics 2016-10-05 Roeland Juchtmans , Giulio Guzzinati , Jo Verbeeck

We develop a theory of photoluminescence using a time-dependent Hartree-Fock approximation that is appropriate for the two-dimensional Wigner crystal in a strong magnetic field. The cases of localized and itinerant holes are both studied.…

Condensed Matter · Physics 2009-10-22 Dong-Zi Liu , H. A. Fertig , S. Das Sarma

We investigate the topological properties of photon-dressed energy bands in bilayer $\alpha-T_{3}$ lattices under off-resonant circularly polarized light, focusing on aligned and cyclic stacking configurations. Analytical expressions for…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 O. Benhaida , E. H. Saidi , L. B. Drissi , R. Ahl Laamara

Within the Floquet theory of periodically driven quantum systems, we developed the theory of light-induced modification of electronic states in semiconductor materials described by the Luttinger Hamiltonian (the electronic term $\Gamma_8$).…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 O. V. Kibis , M. V. Boev , V. M. Kovalev , I. A. Shelykh

We report on the effect of laser illumination with circularly polarized light on the electronic structure of AB-stacked graphite samples. By using Floquet theory in combination with Green's function techniques, we find that the polarized…

Mesoscale and Nanoscale Physics · Physics 2020-02-20 Hernan L. Calvo , Jose E. Barrios Vargas , Luis E. F. Foa Torres
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