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We investigate novel Landau level structures of semi-metals with nodal ring dispersions. When the magnetic field is applied parallel to the plane in which the ring lies, there exist almost non-dispersive Landau levels at the Fermi level…

Strongly Correlated Electrons · Physics 2015-08-04 Jun-Won Rhim , Yong Baek Kim

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…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 Ana L. C. Pereira

A numerical method is presented which allows to compute the spectrum of the Schroedinger operator for a particle constrained on a two dimensional flat torus under the combined action of a transverse magnetic field and any conservative…

Quantum Physics · Physics 2008-04-30 Enrico Onofri

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…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

In the strong magnetic field fractional quantum Hall regime, electrons in a two-dimensional electron system are confined to their lowest Landau level. Because of the macroscopic Landau level degeneracy nearly all physical properties at low…

Condensed Matter · Physics 2009-10-28 A. H. MacDonald

In this technical review we give an introduction to optical spectroscopy for layered materials as a powerful, non-invasive tool to access details of the electronic band structure and crystal quality. Potential applications in photonics and…

Materials Science · Physics 2020-12-18 Shivangi Shree , Ioannis Paradisanos , Xavier Marie , Cedric Robert , Bernhard Urbaszek

Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum, instead of smooth bending of Landau branches in the vicinity of the barrier acquires a steplike…

Condensed Matter · Physics 2015-06-25 I. Bartos , B. Rosenstein

The nature of relativistic electrons in solids depends on the precise shape of the underlying band structure. Prominently, symmetry-related mechanisms, such as the breaking of time reversal symmetry in topological insulators, can lead to…

We propose a hexagonal optical lattice system with spatial variations in the hopping matrix elements. Just like in the valley Hall effect in strained Graphene, for atoms near the Dirac points the variations in the hopping matrix elements…

Quantum Gases · Physics 2015-12-18 Binbin Tian , Manuel Endres , David Pekker

Scanning tunneling spectroscopy is used to study the real-space local density of states (LDOS) of a two-dimensional electron system in magnetic field, in particular within higher Landau levels (LL). By Fourier transforming the LDOS, we find…

Mesoscale and Nanoscale Physics · Physics 2012-11-28 K. Hashimoto , T. Champel , S. Florens , C. Sohrmann , J. Wiebe , Y. Hirayama , R. A. Roemer , R. Wiesendanger , M. Morgenstern

Recent magnetotransport experiments on high mobility two-dimensional electron systems have revealed many-body electron states unique to high Landau levels. Among these are re-entrant integer quantum Hall states which undergo sharp…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The quantum dynamics of a two-dimensional charged spin $1/2$ particle is studied for general, symmetry--free curved surfaces and general, nonuniform magnetic fields that are, when different from zero, orthogonal to the defining two surface.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Robert Alicki , John R. Klauder , Jerzy Lewandowski

Landau Damping (LD) mechanism of the Localized Surface Plasmon (LSP) decay is studied for the hybrid nanoplasmonic (metal core/dielectric shell) structures. It is shown that LD in hybrid structures is strongly affected by permittivity and…

Transverse and longitudinal dielectric permittivity elements are derived for radio frequency waves in a laboratory dipole magnetic field plasma (LDMFP) accounting for the finite ring current radius. The main feature of LDMFP is the fact…

We develop a quantum-mechanical theory for Landau damping of surface plasmons in metal nanostructures larger that the characteristic length for nonlocal effects. We show that the electron surface scattering, which facilitates plasmon decay…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Tigran V. Shahbazyan

We show the emergence of a new type of dispersion relation for neutral atoms with an interesting similarity with the spectrum of 2-dimensional electrons in an applied perpendicular constant magnetic field. These neutral atoms can be…

Quantum Physics · Physics 2016-06-29 Saikat Banerjee , Hans Ågren , Alexander V. Balatsky

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…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 M. C. Chang , M. F. Yang , T. M. Hong

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…

An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We have performed broad-band zero-field and magneto-infrared spectroscopy of the three dimensional topological insulator Bi$_{0.91}$Sb$_{0.09}$. The zero-field results allow us to measure the value of the direct band gap between the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 A. A. Schafgans , A. A. Taskin , Yoichi Ando , Xiao-Liang Qi , B. C. Chapler , K. W. Post , D. N. Basov