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A treatment of edge magnetoplasmons (EMP), based on a microscopic evaluation of the local contributions to the current density, is presented. It is valid in the quantum Hall regime for filling factor \nu=1 or 2 and low temperatures when the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 O. G. Balev , P. Vasilopoulos

A quasi-microscopic treatment of edge magnetoplasmons (EMP) is presented for very low temperatures and confining potentials smooth on the scale of the magnetic length $\ell_{0}$ but sufficiently steep at the edges such that Landau level…

Strongly Correlated Electrons · Physics 2009-10-31 O. G. Balev , P. Vasilopoulos , Nelson Studart

We present the microscopic treatment of edge magnetoplasmons (EMPs) for the regime of not-too-low temperatures defined by the condition $\hbar \omega_{c}\gg k_{B}T\gg \hbar v_{g}/2\ell_{0}$, where $v_{g}$ is the group velocity of the edge…

Mesoscale and Nanoscale Physics · Physics 2010-05-25 Sanderson Silva , Oleg G. Balev

A random-phase approximation (RPA) treatment of edge magnetoplasmons (EMP) is presented for strong magnetic fields, low temperatures, and integer filling factors \nu. It is valid for negligible dissipation and lateral confining potentials…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. G. Balev , P. Vasilopoulos

A microscopic treatment of edge magnetoplasmons (EMPs) is presented for the case of not-too-low temperatures in which the inequality $k_{B}T\gg \hbar v_{g}/\ell_{0}$, where $v_{g}$ is the group velocity of the edge states and $\ell_{0}$ is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. G. Balev , Nelson Studart

We show strong effects of a weak and smooth, on the magnetic length, superlattice potential upon edge magnetoplasmons (EMPs) at the armchair edge, with a smooth steplike electrostatic lateral confining potential, of a wide graphene channel…

Mesoscale and Nanoscale Physics · Physics 2012-05-21 O. G. Balev , A. C. A. Ramos , H. O. Frota

Based on a microscopic evaluation of the local current density, a treatment of edge magnetoplasmons (EMP) is presented for confining potentials that allow Landau level (LL) flattening to be neglected. Mode damping due to electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 O. G. Balev , P. Vasilopoulos

We show that near an armchair edge of a wide graphene channel, and in the presence of a smooth step-like electrostatic lateral confining potential, the chirality, spectrum, spatial structure, and number of the fundamental edge…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 O. G. Balev , P. Vasilopoulos , H. O. Frota

We have observed propagation of Edge Magneto-Plasmon (EMP) modes in graphene in the Quantum Hall regime by performing picosecond time of flight measurements between narrow contacts on the perimeter of micrometric exfoliated graphene. We…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Ivana Petkovic , F. I. B. Williams , D. Christian Glattli

We consider the edge dynamics of a compact, fully spin polarized state at filling factor $\nu=1$. We show that there are two sets of collective excitations localized near the edge: the much studied, gapless, edge magnetoplasmon but also an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Karlhede , K. Lejnell , S. L. Sondhi

Topological materials bear gapped excitations in bulk yet protected gapless excitations at boundaries. Magnetoplasmons (MPs), as high-frequency density excitations of two-dimensional electron gas (2DEG) in a perpendicular magnetic field,…

A {\it microscopic} treatment of fundamental edge magnetoplasmons (EMPs) along the edge of a double quantum well (DQW) is presented for strong magnetic fields, low temperatures, and total filling factor \nu=2. It is valid for lateral…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. G. Balev , P. Vasilopoulos

We investigate magnetoplasmon dynamics localized on the edges of graphene vortex Hall fluid. The vortex matter captures an anomalous term that causes vortex localization near fluid boundary and creates a double boundary layer,…

Mesoscale and Nanoscale Physics · Physics 2015-10-27 M. Rabiu , S. Y. Mensah , S. Y. Ibrahim , S. S. Abukari

Magnetic-edge magnetoplasmons (MEMPs) are obtained for a two-dimensional electron system (2DES) with atop semi-infinite metallic gate, at a distance $d$, and atop semi-infinite ferromagnetic film at a strong perpendicular magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2016-08-05 Oleg G. Balev , Ivan A. Larkin

We investigate intrinsic and extrinsic decay of edge magnetoplasmons (EMPs) in graphene quantum Hall (QH) systems by high-frequency electronic measurements. From EMP resonances in disk shaped graphene, we show that the dispersion relation…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 N. Kumada , P. Roulleau , B. Roche , M. Hashisaka , H. Hibino , I. Petkovic , D. C. Glattli

We investigate the collective magnetoplasmon excitations in a quantum dot containing finite number of electrons in the high magnetic field limit. We consider the electrons in the lowest Landau level and neglect mixing between the higher…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Subhasis Sinha

We study the propagation of edge magnetoplasmons by time-resolved current measurements in a sample which allows for selective detection of edge states in the quantum Hall regime. We observe two decoupled modes of edge and inter-edge…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Sukhodub , F. Hohls , R. J. Haug

We have investigated microwave transmission through the edge of quantum Hall systems by employing a coplanar waveguide (CPW) fabricated on the surface of a GaAs/AlGaAs two-dimensional electron gas (2DEG) wafer. An edge is introduced to the…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Akira Endo , Keita Koike , Shingo Katsumoto , Yasuhiro Iye

The properties of a two-dimensional (2D) electron system can be drastically altered by a magnetic field applied perpendicular to the 2D plane. In particular, the frequency of its bulk collective excitations becomes gaped at the cyclotron…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 I. Kostylev , M. Hatifi , D. Konstantinov , A. D Chepelianskii

The quantum Hall effect is necessarily accompanied by low-energy excitations localized at the edge of a two-dimensional electron system. For the case of electrons interacting via the long-range Coulomb interaction, these excitations are…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 U. Zuelicke , R. Bluhm , V. A. Kostelecky , A. H. MacDonald
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