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Studies of the formation of Landau levels based on the Schr\"odinger equation for electrons constrained to curved surfaces have a long history. These include as prime examples surfaces with constant positive and negative curvature, the…

介观与纳米尺度物理 · 物理学 2024-10-15 Maximilian Fürst , Denis Kochan , Ioachim-Gheorghe Dusa , Cosimo Gorini , Klaus Richter

We investigate Dirac fermions on the surface of the topological insulator Bi2Se3 using scanning tunneling spectroscopy. Landau levels (LLs) are observed in the tunneling spectra in a magnetic field. In contrast to LLs of conventional…

介观与纳米尺度物理 · 物理学 2010-08-12 T. Hanaguri , K. Igarashi , M. Kawamura , H. Takagi , T. Sasagawa

We calculate the energy spectrum of a Dirac double layer, where each layer has the Dirac electronic dispersion, in the presence of a tilted magnetic field and small interlayer tunneling. We show that the energy splitting between the Landau…

介观与纳米尺度物理 · 物理学 2015-02-24 Sergey S. Pershoguba , D. S. L. Abergel , Victor M. Yakovenko , A. V. Balatsky

This is the last paper in a series of three in which we have studied the Peierls substitution in the case of a weak magnetic field. Here we deal with two $2d$ Bloch eigenvalues which have a conical crossing. It turns out that in the…

数学物理 · 物理学 2021-06-02 Horia D. Cornean , Bernard Helffer , Radu Purice

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

We show that (2+1) dimensional noncommutative Dirac oscillator in an external magnetic field is mapped onto the same but with reduced angular frequency in absence of magnetic field. We construct the relativistic Landau levels by solving…

高能物理 - 理论 · 物理学 2018-09-14 Bhabani Prasad Mandal , Sumit Kumar Rai

Using low temperature scanning tunneling spectroscopy, we probe the Landau levels of the topologically protected state of Sb2Te3(0001) after in-situ cleavage of a single crystal. Landau levels are visible for magnetic fields B > 2 T at…

介观与纳米尺度物理 · 物理学 2015-08-28 Christian Pauly , Christian Saunus , Marcus Liebmann , Markus Morgenstern

Landau-level spectroscopy, the optical analysis of electrons in materials subject to a strong magnetic field, is a versatile probe of the electronic band structure and has been successfully used in the identification of novel states of…

介观与纳米尺度物理 · 物理学 2020-04-30 S. Polatkan , M. O. Goerbig , J. Wyzula , R. Kemmler , L. Z. Maulana , B. A. Piot , I. Crassee , A. Akrap , C. Shekhar , C. Felser , M. Dressel , A. V. Pronin , M. Orlita

A partially filled Landau level (LL) hosts a variety of correlated states of matter with unique properties. The ability to control these phases requires tuning the effective electron interactions within a LL, which has been difficult to…

介观与纳米尺度物理 · 物理学 2011-12-20 Z. Papić , D. A. Abanin , Y. Barlas , R. N. Bhatt

The effect of a unidirectional periodic potential on the orientation of the stripe state is studied for the two-dimensional electron system at half-filled high Landau levels. By considering a quantum well with two electric subbands, it is…

介观与纳米尺度物理 · 物理学 2015-06-24 Shi-Jie Yang , Yue Yu

In the variational framework, we study the electronic energy spectrum of massless Dirac fermions of graphene subjected to one-dimensional oscillating magnetic and electrostatic fields centered around a constant uniform static magnetic…

介观与纳米尺度物理 · 物理学 2014-11-20 B. S. Kandemir , A. Mogulkoc

Effect of periodic potential on the stripe phase realized in the higher Landau levels is investigated by the Hartree-Fock approximation. The period of the potential is chosen to be two to six times of the fundamental period of the stripe…

介观与纳米尺度物理 · 物理学 2009-11-07 Daijiro Yoshioka

Using a momentum representation of a magnetic von Neumann lattice, we study a two-dimensional electron in a uniform magnetic field and obtain one-particle spectra of various periodic short-range potential problems in the lowest Landau…

介观与纳米尺度物理 · 物理学 2009-10-30 K. Ishikawa , N. Maeda , T. Ochiai , H. Suzuki

In a system with Dirac cones, spatial modulation in material parameters induces a pseudo magnetic field, which acts like an external magnetic field. Here, we derive a concise formula to count the pseudo Landau levels in the simplest setup…

介观与纳米尺度物理 · 物理学 2017-07-28 Toshikaze Kariyado

It is known that in two dimensional relativistic Dirac systems, the Landau levels can collapse in the presence of a critical in plane electric field. We extend this mechanism to the three dimensional Weyl semimetals and analyze the physical…

介观与纳米尺度物理 · 物理学 2018-09-27 Vicente Arjona , Eduardo V. Castro , María A. H. Vozmediano

This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the system admits a flat band located between two dispersion…

介观与纳米尺度物理 · 物理学 2022-12-07 Kevin Zelaya , Vit Jakubský

Interactions in Landau levels can stabilize new phases of matter, such as fractionally quantized Hall states. Numerical studies of these systems mostly require compact manifolds like the sphere or a torus. For massive dispersions, a…

强关联电子 · 物理学 2018-07-20 Martin Greiter , Ronny Thomale

Chiral zeroth Landau levels are topologically protected bulk states that give rise to chiral anomaly. Previous discussions on such chiral Landau levels are based on three-dimensional Weyl degeneracies. Their realizations using…

材料科学 · 物理学 2023-07-10 Hongwei Jia , Mudi Wang , Shaojie Ma , Ruo-Yang Zhang , Jing Hu , C. T. Chan

Scanning tunneling microscopy and spectroscopy in magnetic field was used to study Landau quantization in graphene and its dependence on charge carrier density. Measurements were carried out on exfoliated graphene samples deposited on a…

介观与纳米尺度物理 · 物理学 2015-03-19 Adina Luican , Guohong Li , Eva Y. Andrei

We investigate disorder effects on Landau levels in Dirac electron systems with the use of a non-Hermitian quasiparticle Hamiltonian formalism. This formalism reveals that spin-dependent scattering rates induce the spectrum collapse of…

介观与纳米尺度物理 · 物理学 2021-06-07 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto