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The Landau level spectrum of graphene superlattices is studied using a tight-binding approach. We consider non-interacting particles moving on a hexagonal lattice with an additional one-dimensional superlattice made up of periodic square…

介观与纳米尺度物理 · 物理学 2012-06-28 G. Pal , W. Apel , L. Schweitzer

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

介观与纳米尺度物理 · 物理学 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

介观与纳米尺度物理 · 物理学 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

The lifting of the degeneracy of the states from the graphene $n$=0 Landau level (LL) is investigated through a non-interacting tight-binding model with random hoppings. A disorder-driven splitting of two bands and of two critical energies…

介观与纳米尺度物理 · 物理学 2009-10-01 Ana L. C. Pereira

We report on robust features of the longitudinal conductivity ($\sigma_{xx}$) of the graphene zero-energy Landau level in presence of disorder and varying magnetic fields. By mixing an Anderson disorder potential with a low density of…

介观与纳米尺度物理 · 物理学 2015-06-15 Frank Ortmann , Stephan Roche

The electronic Raman scattering of bulk graphite at zero magnetic field reveals a structureless signal characteristic of a metal. For T<~100 K and B > 2 T, several peaks at energies scaling linearly with magnetic field were observed and…

介观与纳米尺度物理 · 物理学 2008-07-10 A. F. Garcia-Flores , H. Terashita , E. Granado , Y. Kopelevich

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…

介观与纳米尺度物理 · 物理学 2023-05-17 Gelareh Farahi , Cheng-Li Chiu , Xiaomeng Liu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated…

介观与纳米尺度物理 · 物理学 2011-02-28 Jianmin Sun , H. A. Fertig , L. Brey

In this work, we investigate the massive Kane-Mele model for graphene in the presence of disclination and an external magnetic field, where graphene behaviors as a topological insulator. In the low-energy limit, the effective field equation…

介观与纳米尺度物理 · 物理学 2024-07-08 G. Q. Garcia , J. R. S. Oliveira , P. J. Porfírio , C. Furtado

When electrons are confined in a two dimensional (2D) system, typical quantum mechanical phenomena such as Landau quantization can be detected. Graphene systems, including the single atomic layer and few-layer stacked crystals, are ideal 2D…

介观与纳米尺度物理 · 物理学 2017-03-14 Long-jing Yin , Ke-ke Bai , Wen-xiao Wang , Si-Yu Li , Yu Zhang , Lin He

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…

介观与纳米尺度物理 · 物理学 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We report on transport and capacitance measurements of graphene devices in magnetic fields up to 30 T. In both techniques, we observe the full splitting of Landau levels and we employ tilted field experiments to address the origin of the…

介观与纳米尺度物理 · 物理学 2015-11-30 F. Chiappini , S. Wiedmann , K. S. Novoselov , A. Mishchenko , A. K. Geim , J. C. Maan , U. Zeitler

Using an array of coupled microwave resonators arranged in a deformed honeycomb lattice, we experimentally observe the formation of pseudo-Landau levels in the whole crossover from vanishing to large pseudomagnetic field strength. This is…

介观与纳米尺度物理 · 物理学 2020-09-04 Matthieu Bellec , Charles Poli , Ulrich Kuhl , Fabrice Mortessagne , Henning Schomerus

We review recent work on superlattices in monolayer and bilayer graphene. We highlight the role of the quasiparticle chirality in generating new Dirac fermion modes with tunable anisotropic velocities in one dimensional (1D) superlattices…

介观与纳米尺度物理 · 物理学 2015-06-05 Matthew Killi , Si Wu , Arun Paramekanti

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

介观与纳米尺度物理 · 物理学 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

The zero-energy Landau level of bilayer graphene is shown to be anomalously sharp (delta-function like) against bond disorder as long as the disorder is correlated over a few lattice constants.The robustness of the zero-mode anomaly can be…

介观与纳米尺度物理 · 物理学 2015-06-03 Tohru Kawarabayashi , Yasuhiro Hatsugai , Hideo Aoki

Spin-polarized two-dimensional materials with large and tunable spin-splitting energy promise the field of 2D spintronics. While graphene has been a canonical 2D material, its spin properties and tunability are limited. Here, we demonstrate…

In the presence of strong magnetic fields the electronic bandstructure of graphene drastically changes. The Dirac cone collapses into discrete non-equidistant Landau levels, which can be externally tuned by changing the magnetic field. In…

介观与纳米尺度物理 · 物理学 2017-07-26 Samuel Brem , Florian Wendler , Ermin Malic

Magneto-optical transitions between Landau levels can provide precise spectroscopic information on the electronic structure and excitation spectra of graphene, enabling probes of substrate and many-body effects. We calculate the…

介观与纳米尺度物理 · 物理学 2015-09-15 L. A. Chizhova , J. Burgdörfer , F. Libisch

We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

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