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Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene,…

Mesoscale and Nanoscale Physics · Physics 2008-04-13 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

We experimentally investigate electrical transport properties of graphene, which is a two dimensional (2D) conductor with relativistic energy dispersion relation. By investigating single- and bi-layer graphene devices with different aspect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. Miao , S. Wijeratne , U. Coskun , Y. Zhang , C. N. Lau

Unlike in conventional semiconductors, both the chemical potential and the band gap in bilayer graphene (BLG) can be tuned via application of external electric field. Among numerous device implications, this property also designates BLG as…

Mesoscale and Nanoscale Physics · Physics 2019-07-16 Dominik Suszalski , Grzegorz Rut , Adam Rycerz

The transport properties of a YBa$_2$Cu$_3$O$_{7-\delta}$ superconducting quantum interference device (SQUID) based on grooved Dayem bridge weak links are studied as a function of temperature: at high temperatures…

The thermoelectric properties of quantum dot arrays (QDAs) embedded in nanowires connected to electrodes are studied theoretically in the Coulomb blockade regime. A Hurbbard-Anderson model is used to simulate the electronic contribution to…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Yen-Chun Tseng , David M. -T. Kuo , Yia-Chung Chang , Chia-Wei Tsai

It is shown that the observed Quantum Hall Effect in epitaxial layers of heavily doped n-type GaAs with thickness (50-140 nm) larger the mean free path of the conduction electrons (15-30 nm) and, therefore, with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. S. Murzin , I. Claus , A. G. M. Jansen , N. T. Moshegov , A. I. Toropov , K. Eberl

We report on magneto-transport measurement in disordered graphene under pulsed magnetic field of up to 57T. For large electron or hole doping, the system displays the expected anomalous Integer Quantum Hall Effect (IQHE) specific to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. M. Poumirol , W. Escoffier , A. Kumar , M. Goiran , B. Raquet , J. M. Broto

We report transport experiments on graphene quantum dots. We focus on excited state spectra in the near vicinity of the charge neutrality point and signatures of the electron-hole crossover as a function of a perpendicular magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-19 J. Guettinger , C. Stampfer , T. Frey , T. Ihn , K. Ensslin

We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete…

Disordered Systems and Neural Networks · Physics 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

Disordered Systems and Neural Networks · Physics 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

Employing a combination of many-body configuration interaction method described by extended Hubbard model along with first principle calculations we predict the emergence of high oscillator strength at near-IR region which originates from…

Materials Science · Physics 2016-11-15 Madhuri Mukhopadhyay , Bradraj Pandey , Swapan K Pati

We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Ahmed Jellal

We propose a model based on density functional theory (DFT) and quantum electrodynamics (QED) to study the dynamical characteristics of graphene quantum dots (GQDs). We assume the GQD edges are saturated with hydrogen atoms, effectively…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 J. Olivo , J. Blengino Albrieu , Mauro Cuevas

We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev-Ye-Kitaev (SYK) quantum dots, each occupied by a large number N>>1 of charge-carrying fermions. Extending the previous studies we complement the…

Strongly Correlated Electrons · Physics 2020-06-03 D. V. Khveshchenko

We study the temperature dependent magnetic susceptibility of a strained graphene quantum dot by using the determinant quantum Monte Carlo method. Within the Hubbard model on a honeycomb lattice, our unbiased numerical results show that a…

Strongly Correlated Electrons · Physics 2015-02-13 Shuai Cheng , Jinming Yu , Tianxing Ma , N. M. R. Peres

We study the energy levels of carriers confined in a magnetic quantum dot of graphene surrounded by a infinite graphene sheet in the presence of energy gap. The eigenspinors are derived for the valleys $K$ and $K'$, while the associated…

Mesoscale and Nanoscale Physics · Physics 2020-08-07 Abderrahim Farsi , Abdelhadi Belouad , Ahmed Jellal

We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one direction.We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Tahir , K. Sabeeh

The dynamic conductivity \sigma(\omega) of graphene in the presence of diagonal white noise disorder and quantizing magnetic field B is calculated. We obtain analytic expressions for \sigma(\omega) in various parametric regimes ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 U. Briskot , I. A. Dmitriev , A. D. Mirlin

We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling (graphene) in the presence of disorder and electron-electron interactions. We show that the interactions between the delocalized chiral edge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. H. Castro Neto , F. Guinea , N. M. R. Peres

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

Mesoscale and Nanoscale Physics · Physics 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty
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