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We set up and parametrize a Hubbard model for interacting quantum dots in bilayer graphene and study double dots as the smallest multi-dot system. We demonstrate the tunability of the spin and valley multiplets, Hubbard parameters, and…

Mesoscale and Nanoscale Physics · Physics 2024-09-02 Angelika Knothe , Guido Burkard

We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence of lattice strain at integer filling $\nu=\pm3$. Using the self-consistent Hartree-Fock method on a particle-hole symmetric model and allowing…

Strongly Correlated Electrons · Physics 2023-03-01 Fang Xie , Jian Kang , B. Andrei Bernevig , Oskar Vafek , Nicolas Regnault

The valley degree of freedom in 2D semiconductors, such as gapped bilayer graphene (BLG) and transition metal dichalcogenides, is a promising carrier of quantum information in the emerging field of valleytronics. While valley dynamics have…

Charge-neutral conducting systems represent a class of materials with unusual properties governed by electron-hole (e-h) interactions. Depending on the quasiparticles' statistics, band structure, and device geometry these semimetallic…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 D. A. Bandurin , A. Principi , I. Y. Phinney , T. Taniguchi , K. Watanabe , P. Jarillo-Herrero

Bilayer graphene -- two coupled single graphene layers stacked as in graphite -- provides the only known semiconductor with a gap that can be tuned externally through electric field effect. Here we use a tight binding approach to study how…

Mesoscale and Nanoscale Physics · Physics 2010-04-29 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos , F. Guinea , A. H. Castro Neto

We theoretically investigate the spectrum of a single electron double quantum dot, defined by top gates in a graphene with a substrate induced gap. We examine the effects of electric and magnetic fields on the spectrum of localized states,…

Mesoscale and Nanoscale Physics · Physics 2014-02-20 Martin Raith , Christian Ertler , Peter Stano , Michael Wimmer , Jaroslav Fabian

Because of its large density-of-states and the 2{\pi} Berry phase near its low-energy band-contact points, neutral bilayer graphene (BLG) at zero magnetic field (B) is susceptible to chiral-symmetry breaking, leading to a variety of gapped…

Mesoscale and Nanoscale Physics · Physics 2014-09-03 J. Velasco , Y. Lee , Fan Zhang , Kevin Myhro , David Tran , Michael Deo , Dmitry Smirnov , A. H. MacDonald , C. N. Lau

2D materials based superlattices have emerged as a promising platform to modulate band structure and its symmetries. In particular, moir\'e periodicity in twisted graphene systems produces flat Chern bands. The recent observation of…

Twisted bilayer graphene with a twist angle of around 1.1{\deg} features a pair of isolated flat electronic bands and forms a strongly correlated electronic platform. Here, we use scanning tunneling microscopy to probe local properties of…

We investigate the gap in the single-electron spectrum of twisted bilayer graphene. In a perfect infinite lattice of a twisted bilayer, the gap varies exponentially in response to weak changes of the twist angle. Such a large sensitivity…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 A. V. Rozhkov , A. O. Sboychakov , A. L. Rakhmanov , Franco Nori

Two-band electronic structures with a valence and a conduction band separated by a tunable energy gap and with pairing of electrons in different channels can be relevant to investigate the properties of two-dimensional multiband…

Superconductivity · Physics 2023-05-04 Giovanni Midei , Andrea Perali

Broken-symmetry quantum Hall (QH) states with filling factors \nu=0, \pm 1, \pm 2, \pm 3 in the lowest Landau level in bilayer graphene are analyzed by solving the gap equation in the random phase approximation. It is shown that in the…

Strongly Correlated Electrons · Physics 2012-01-20 E. V. Gorbar , V. P. Gusynin , Junji Jia , V. A. Miransky

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

Due to Klein tunneling, electrostatic confinement of electrons in graphene is not possible. This hinders the use of graphene for quantum dot applications. Only through quasi-bound states with finite lifetime has one achieved to confine…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Hasan M. Abdullah , M. Van der Donck , H. Bahlouli , F. M. Peeters , B. Van Duppen

Twisted graphene multilayers are highly tunable flatband systems for developing new phases of matter. Thus far, while orbital ferromagnetism has been observed in valley polarized phases, the long-range orders of other correlated phases as…

Low-energy excitations in graphene exhibit relativistic properties due to the linear dispersion relation close to the Dirac points in the first Brillouin zone. Two of the Dirac points located at opposite corners of the first Brillouin zone…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 T. Sekera , C. Bruder , E. J. Mele , R. P. Tiwari

Propagation of an electron wave packet through a quantum point contact (QPC) defined by electrostatic gates in bilayer graphene is investigated. The gates provide a bias between the layers, in order to produce an energy gap. If the gates on…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 D. R. da Costa , A. Chaves , S. H. R. Sena , G. A. Farias , F. M. Peeters

We investigate the band structure of twisted monolayer-bilayer graphene (tMBG), or twisted graphene on bilayer graphene (tGBG), as a function of twist angles and perpendicular electric fields in search of optimum conditions for achieving…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Youngju Park , Bheema Lingam Chittari , Jeil Jung

In monolayer group-VI transition metal dichalcogenides (TMDC), charge carriers have spin and valley degrees of freedom, both associated with magnetic moments. On the other hand, the layer degree of freedom in multilayers is associated with…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Zhirui Gong , Gui-Bin Liu , Hongyi Yu , Di Xiao , Xiaodong Cui , Xiaodong Xu , Wang Yao