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Two-dimensional tight-binding models for quasicrystals made of plaquettes with commensurate areas are considered. Their energy spectrum is computed as a function of an applied perpendicular magnetic field. Landau levels are found to emerge…

Disordered Systems and Neural Networks · Physics 2018-10-22 Jean-Noël Fuchs , Rémy Mosseri , Julien Vidal

We review the level spectroscopy, which is a powerful method of analyzing the numerical data with respect to the Berezinskii-Kosterlitz-Thouless quantum phase transition in one dimension. We focus on its physical meaning and also its…

Statistical Mechanics · Physics 2013-10-15 Kiyomi Okamoto

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

The control over light propagation and localization in photonic crystals offers wide applications from sensing and on-chip routing to lasing and quantum light-matter interfaces. While in electronic crystals magnetic fields can be used to…

Optics · Physics 2023-06-07 René Barczyk , L. Kuipers , Ewold Verhagen

The principal use of photonic crystals is to engineer the photonic density of states, which controls light-matter coupling. We theoretically show that strained 2D photonic crystals can generate artificial electromagnetic fields and highly…

Optics · Physics 2021-01-13 J. Guglielmon , M. C. Rechtsman , M. I. Weinstein

Interacting electrons in flat bands give rise to a variety of quantum phases. One fundamental aspect of such states is the ordering of the various flavours - such as spin or valley - that the electrons can undergo and the excitation…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

We describe an experimental technique to measure the chemical potential, $\mu$, in atomically thin layered materials with high sensitivity and in the static limit. We apply the technique to a high quality graphene monolayer to map out the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Fangyuan Yang , Alexander A. Zibrov , Ruiheng Bai , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

One-atom thick crystalline layers and their vertical heterostructures carry the promise of designer electronic materials that are unattainable by standard growth techniques. In order to realize their potential it is necessary to isolate…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Chih-Pin Lu , Martin Rodriguez-Vega , Guohong Li , Adina Luican-Mayer , K. Watanabe , T. Taniguchi , Enrico Rossi , Eva Y. Andrei

The Landau level spectra and the quantum Hall effect of ABA-stacked multilayer graphenes are studied in the effective mass approximation. The low-energy effective mass Hamiltonian may be partially diagonalized into an approximate…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Mikito Koshino , Edward McCann

We use the gauge/gravity correspondence to show that in its context there appear Landau levels when studying the excitations of the fundamental degrees of freedom of a strongly coupled plasma subject to a magnetic field of arbitrary…

High Energy Physics - Theory · Physics 2022-06-29 Uriel Elinos , Leonardo Patino

The phase diagram of an interacting two-dimensional electron system in a high magnetic field is enriched by the varying form of the effective Coulomb interaction, which depends strongly on the Landau level index. While the fractional…

We develop a theoretical framework for Landau levels in quasi-periodic twisted bilayer graphene at a $30^\circ$ twist angle, a system without translational symmetry but possessing 12-fold rotational symmetry. Using a quasi-band formalism,…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Masaru Hitomi , Takuto Kawakami , Mikito Koshino

At high magnetic fields and low temperatures, numerous extreme type-II superconductors exhibit Landau quantization of electronic motion. We present an analytic construction of the quasiparticle spectrum in this regime, based on the…

Superconductivity · Physics 2007-05-23 Zlatko Tesanovic , Pedro D. Sacramento

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We study the structure of 2D electronic states in a strong magnetic field in the presence of a large number of resonant scatterers. For an electron in the lowest Landau level, we derive the exact density of states by mapping the problem…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 T. V. Shahbazyan , S. E. Ulloa

When electrons moving in two-dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels, which are the basis for the quantum Hall effect. Landau levels can also arise from pseudomagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Zheyu Cheng , Yi-jun Guan , Haoran Xue , Yong Ge , Ding Jia , Yang Long , Shou-qi Yuan , Hong-xiang Sun , Yidong Chong , Baile Zhang

We investigate the competition between electron-solid and quantum-liquid phases in graphene, which arise in partially filled Landau levels. The differences in the wave function describing the electrons in the presence of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 M. E. Knoester , Z. Papic , C. Morais Smith

Landau level spectroscopy has been employed to probe the electronic structure of the valence band in a series of p-type HgTe/HgCdTe quantum wells with both normal and inverted ordering of bands. We find that the standard axial-symmetric…

We experimentally observe photonic Landau levels that arise due to a strain-induced pseudomagnetic field in a silicon photonic crystal slab. The Landau levels are dispersive (i.e., they are not flat bands) due to the distortion of the unit…

We study the Landau levels associated with electrons moving in a magnetic field in the presence of a continuous distribution of disclinations, a magnetic screw dislocation and a dispiration. We focus on the influence of these topological…

Quantum Physics · Physics 2009-11-06 G. de A. Marques , Claudio Furtado , V. B. Bezerra , Fernando Moraes
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