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We obtain analytical expressions for the eigenstates and the Landau level spectrum of biased graphene bilayers in a magnetic field. The calculations are performed in the context of a four-band continuum model and generalize previous…

介观与纳米尺度物理 · 物理学 2007-08-08 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

We obtain the exact wave function of a monolayer phosphorene under a low- intensity time-dependent magnetic field using the dynamical invariant method. We calculate the quantum-mechanical energy expectation value and the transition…

材料科学 · 物理学 2018-01-17 J. P. G. Nascimento , V. Aguiar , I. Guedes

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,…

介观与纳米尺度物理 · 物理学 2021-03-25 J. Sonntag , S. Reichardt , L. Wirtz , B. Beschoten , M. I. Katsnelson , F. Libisch , C. Stampfer

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…

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…

Landau level broadening mechanisms in electrically neutral and quasineutral graphene were investigated through micro-magneto-Raman experiments in three different samples, namely, a natural single-layer graphene flake and a back-gated…

Bilayer graphene in a magnetic field hosts a variety of ordered phases built from eight Landau levels close in energy to the neutrality point. These levels are characterized by orbital $n=0,1$, valley $\xi=+,-$ and spin…

介观与纳米尺度物理 · 物理学 2020-05-25 Brett R. Green , Jorge O. Sofo

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

介观与纳米尺度物理 · 物理学 2025-09-18 Aritra Ghosh

Using adiabatic expansions formalism, upper bounds for interband transitions for Bloch electrons in slowly varying in time electric fields are obtained. These bounds imply the validity of one-band approximation on long time scales.

数学物理 · 物理学 2009-11-13 Alexandrina Nenciu

We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of…

介观与纳米尺度物理 · 物理学 2020-10-28 Tobias Frank , Jaroslav Fabian

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a…

介观与纳米尺度物理 · 物理学 2020-01-08 Kyriakos Flouris , Miller Mendoza , Hans J. Herrmann

If bilayer graphene is placed in a high perpendicular magnetic field, several quantum Hall plateaus are observed at low enough temperatures. Of these, the $\sigma_{xy}=4ne^2/h$ sequence ($n\neq0$) is explained by standard Landau…

介观与纳米尺度物理 · 物理学 2013-05-30 Judit Sari , Csaba Toke

We investigate the electronic eigenstates of graphene quantum dots of realistic size (i.e., up to 80 nm diameter) in the presence of a perpendicular magnetic field B. Numerical tight-binding calculations and Coulomb-blockade measurements…

介观与纳米尺度物理 · 物理学 2010-06-09 F. Libisch , S. Rotter , J. Güttinger , C. Stampfer , J. Burgdörfer

We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition,…

介观与纳米尺度物理 · 物理学 2016-10-04 Z. V. Khaidukov , M. A. Zubkov

Consider the quantum evolution of a charged particle subjected to a uniform magnetic field and an electric field E(t) that exists for a finite period of time. The electric field can induce intra-Landau level transitions (magnetic…

量子物理 · 物理学 2011-12-20 James Chee , Yu-Hua Zhang

An effective Hamiltonian approach is used to study the effect of Landau-level mixing on the energy spectrum of electrons in a smooth but random magnetic field B(r) with a finite uniform component B_0. It is found that, as opposed to…

介观与纳米尺度物理 · 物理学 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

The Landau levels of scalar QED undergo continuous transitions under a homogeneous, time-dependent magnetic field. We analytically formulate the Klein-Gordon equation for a charged spinless scalar as a Cauchy initial value problem in the…

高能物理 - 理论 · 物理学 2015-06-15 Sang Pyo Kim

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

介观与纳米尺度物理 · 物理学 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

We report infrared studies of the Landau level (LL) transitions in single layer graphene. Our specimens are density tunable and show \textit{in situ} half-integer quantum Hall plateaus. Infrared transmission is measured in magnetic fields…

介观与纳米尺度物理 · 物理学 2007-05-23 Z. Jiang , E. A. Henriksen , L. C. Tung , Y. -J. Wang , M. E. Schwartz , M. Y. Han , P. Kim , H. L. Stormer

We study the Landau levels in curved graphene sheets by measuring the discrete energy spectrum in the presence of a magnetic field. We observe that in rippled graphene sheets, the Landau energy levels satisfy the same square root dependence…

介观与纳米尺度物理 · 物理学 2018-10-17 Jens-Daniel Debus , Miller Mendoza , Hans Jürgen Herrmann
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