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The behavior of relativistic particles in an electric and/or magnetic field is considered in the general case when the direction of propagation may differ from the direction of the field. A special attention is paid to the spin splitting…

Quantum Physics · Physics 2013-05-01 Tihomir G. Tenev , Nikolay V. Vitanov

We show that the Landau levels in epitaxial graphene in presence of localized defects are significantly modified compared to those of an ideal system. We report on magneto-spectroscopy experiments performed on high quality samples. Besides…

We calculate the Landau levels of a Kramers-Weyl semimetal thin slab in a perpendicular magnetic field $B$. The coupling of Fermi arcs on opposite surfaces broadens the Landau levels with a band width that oscillates periodically in $1/B$.…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 G. Lemut , A. Donís Vela , M. J. Pacholski , J. Tworzydło , C. W. J. Beenakker

Magnetic effects at optical frequencies are notoriously weak. This is evidenced by the fact that the magnetic permeability of nearly all materials is unity in the optical frequency range, and that magneto-optical devices (such as Faraday…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mikael C. Rechtsman , Julia M. Zeuner , Andreas Tünnermann , Stefan Nolte , Mordechai Segev , Alexander Szameit

Nonuniform elastic strain is known to induce pseudo-Landau levels in Dirac materials. But these pseudo-Landau levels are hardly resolvable in an analytic fashion when the strain is strong, because of the emerging complicated space…

Mesoscale and Nanoscale Physics · Physics 2023-06-05 Tianyu Liu , Hai-Zhou Lu

Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Yu. E. Lozovik , A. A. Sokolik

Magneto-transmission measurements in magnetic fields in the range B=20-60T have been performed to probe the H and K-point Landau level transitions in natural graphite. At the H-point, two series of transitions, whose energy evolves as…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 N. Ubrig , P. Plochocka , P. Kossacki , M. Orlita , D. K. Maude , O. Portugall , G. L. J. A. Rikken

The electronic properties of a graphene monolayer in a magnetic and a strain-induced pseudo-magnetic field are studied in the presence of spin-orbit interactions (SOI) that are artificially enhanced, e.g., by suitable adatom deposition. For…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 A. De Martino , A. Hütten , R. Egger

The specific topology of the line centered square lattice (known also as the Lieb lattice) induces remarkable spectral properties as the macroscopically degenerated zero energy flat band, the Dirac cone in the low energy spectrum, and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 M. Niţă , B. Ostahie , A. Aldea

We present magneto-Raman spectroscopy measurements on suspended graphene to investigate the charge carrier density-dependent electron-electron interaction in the presence of Landau levels. Utilizing gate-tunable magneto-phonon resonances,…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 J. Sonntag , S. Reichardt , L. Wirtz , B. Beschoten , M. I. Katsnelson , F. Libisch , C. Stampfer

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 four-dimensional Hamiltonian proposed to describe the band structure of the single-Dirac-cone family of topological insulators in the presence of a uniform perpendicular magnetic field. Surface Landau level(LL) states appear,…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Zhihua Yang , Jung Hoon Han

We study the spin-polarized $\nu=0$ Landau-level state of graphene. Due to the electron-hole attractive interaction, electrons and holes can bound into pairs. These pairs can then condense into a spin-triplet superfluid ground state: a spin…

Superconductivity · Physics 2015-06-16 Qing-feng Sun , X. C. Xie

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

The problem of Dirac fermions in graphite subject to a perpendicular magnetic field is studied. We show analytically that the weak inter-layer interaction between the graphene sheets leads to anomalies in the Shubnikov-de Haas and de…

Materials Science · Physics 2010-03-24 L. Smrcka , N. A. Goncharuk

In this Letter, we present a comprehensive study of magnetotransport in high-mobility trilayer graphene (TLG) devices under a transverse displacement field, focusing on symmetry-broken Landau levels (LLs) from monolayer-like and…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Simrandeep Kaur , Unmesh Ghorai , Abhisek Samanta , Kenji Watanabe , Takashi Taniguchi , Rajdeep Sensarma , Aveek Bid

The electronic structure of bilayer graphene under pressure develops very interesting features with an enhancement of the trigonal warping and a splitting of the parabolic touching bands at the K point of the reciprocal space into four…

Materials Science · Physics 2016-07-06 F Munoz , H. P. Ojeda Collado , Gonzalo Usaj , Jorge O. Sofo , C. A. Balseiro

The spectrum of massless Dirac fermions on the surface of a topological insulator in a perpendicular magnetic field $B$ contains a $B$-independent "zeroth Landau level", protected by chiral symmetry. If the Dirac equation is discretized on…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 A. Donís Vela , G. Lemut , J. Tworzydło , C. W. J. Beenakker

Graphene in the quantum Hall regime exhibits a multi-component structure due to the electronic spin and chirality degrees of freedom. While the applied field breaks the spin symmetry explicitly, we show that the fate of the chirality SU(2)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , R. Moessner , B. Doucot

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
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