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The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed into two intertwined one dimensional stationary Schr\"odinger…

Mathematical Physics · Physics 2020-10-28 David J Fernández C , Juan D García M , Daniel O-Campa

Excitonic properties of Ge$_2$H$_2$ and Sn$_2$H$_2$, also known as Xanes, are investigated within the effective mass model. A perpendicularly applied magnetic field induces a negative shift on the exciton center-of-mass kinetic energy that…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Andrey Chaves , F. M. Peeters

We show that the fractional statistics of quasiparticles in dimerized graphene, in recent proposals for charge and statistics fractionalization, can have two realizations depending whether elementary objects can be considered as point-like…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Milovanović

We have theoretically studied the collective response properties of the two-dimensional chiral electron gas in bilayer graphene within the random phase approximation. The cooperation of external controlling factors like perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Wen-Long You , Xue-Feng Wang

Starting from the effective Hamiltonian arising from the tight binding model, we study the behaviour of low-lying excitations for bilayer graphene placed in periodic external magnetic fields by using irreducible second order supersymmetry…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 David J. Fernández C. , O. Pavón-Torres

Cyclotron resonance has been measured in far-infrared transmission of GaAs/Al$_x$Ga$_{1-x}$As heterostructures with an etched hexagonal lateral superlattice. Non-linear dependence of the resonance position on magnetic field was observed as…

Mesoscale and Nanoscale Physics · Physics 2012-05-22 L. Nadvornik , M. Orlita , N. A. Goncharuk , L. Smrcka , V. Novak , V. Jurka , K. Hruska , Z. Vyborny , Z. R. Wasilewski , M. Potemski , K. Vyborny

Bilayer graphene is a promising material for radio-frequency transistors because its energy gap might result in a better current saturation than the monolayer graphene. Because the great deal of interest in this technology, especially for…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Francisco Pasadas , David Jiménez

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

The charge susceptibility of twisted bilayer graphene is investigated in the Dirac cone, respectively random-phase approximation. For small enough twist angles $\theta\lesssim 2^\circ$ we find weakly Landau damped interband plasmons, i.~e.,…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 T. Stauber , H. Kohler

We consider dynamics of excitons in branched conducting polymers. An effective model based on the use of quantum graph concept is applied for computing of exciton migration along the branched polymer chain Condition for the regime, when the…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 J. R. Yusupov , Kh. Matyakubov , K. K. Sabirov , D. U. Matrasulov

The concept of an exciton as a quasiparticle that represents collective excited states was originally adapted from solid-state physics and has been successfully applied to molecular aggregates by relying on the well-established limits of…

Chemical Physics · Physics 2026-01-01 Seogjoo J. Jang , Irene Burghardt , Chao-Ping Hsu , Christopher J. Bardeen

Combining magnetometry with optical spectroscopy has uncovered novel quantum phenomena and is emerging as a platform for quantum information science. Yet, the theory of magnetic response of excitons, correlated electron-hole pairs in…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Gurjyot Sethi , Jiawei Ruan , Fang Zhang , Weichen Tang , Chen Hu , Mit Naik , Steven G. Louie

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 M. F. C. Martins Quintela , J. C. G. Henriques , N. M. R. Peres

Many-body interactions can produce novel ground states in a condensed-matter system. For example, interacting electrons and holes can spontaneously form excitons, a neutral bound state, provided that the exciton binding energy exceeds the…

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

A theory of charged excitons X- in a dilute 2D electron gas in a high magnetic field is presented. In contrast to previous calculations, three bound X- states (one singlet and two triplets) are found in a narrow and symmetric GaAs quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn , Pawel Hawrylak

In a two-dimensional electron gas, the electron-electron interaction generally becomes stronger at lower carrier densities and renormalizes the Fermi liquid parameters such as the effective mass of carriers. We combine experiment and theory…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 J. Li , L. Z. Tan , K. Zou , A. A. Stabile , D. J. Seiwell , K. Watanabe , T. Taniguchi , Steven G. Louie , J. Zhu

Few-layer graphene possesses low-energy carriers which behave as massive fermions, exhibiting intriguing properties in both transport and light scattering experiments. Lowering the excitation energy of resonance Raman spectroscopy down to…

Excitons, Coulomb-driven bound states of electrons and holes, are typically composed of integer charges. However, in bilayer systems influenced by charge fractionalization, a more exotic form of interlayer exciton can emerge, where pairing…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Naiyuan J. Zhang , Ron Q. Nguyen , Navketan Batra , Xiaoxue Liu , Kenji Watanabe , Takashi Taniguchi , D. E. Feldman , J. I. A. Li