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Ionic liquid gating has a number of advantages over solid-state gating, especially for flexible or transparent devices and for applications requiring high carrier densities. However, the large number of charged ions near the channel…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Trevor A. Petach , K. V. Reich , Xiao Zhang , Kenji Watanabe , Takashi Taniguchi , B. I. Shklovskii , David Goldhaber-Gordon

We discuss the physics of the tunable bandgap in bilayer graphene with the gate voltage and doping. A comparison with experimental data obtained by Kuzmenko et al [Phys. Rev. B \textbf{80}, 165406 (2009)] demonstrates the good agreement.

Mesoscale and Nanoscale Physics · Physics 2010-11-29 L. A. Falkovsky

The static dielectric function in AA-stacked bilayer graphene (BLG), subjected to an electric field applied perpendicular to layers, is calculated analytically within the random phase approximation (RPA). This result is used to calculate…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Yawar Mohammadi

The effects of Coulomb interactions on the electronic properties of bilayer graphene nanoribbons (BGNs) covered by a gate electrode are studied theoretically. The electron density distribution and the potential profile are calculated…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Hengyi Xu , T. Heinzel , A. A. Shylau , I. V. Zozoulenko

Twisted bilayer graphene (TBG) realizes a highly tunable, strongly interacting system featuring superconductivity and various correlated insulating states. We establish gate-defined wires in TBG with proximity-induced spin-orbit coupling as…

Strongly Correlated Electrons · Physics 2022-02-23 Alex Thomson , Ina Sorensen , Stevan Nadj-Perge , Jason Alicea

We report on the observation of a helical Luttinger-liquid in the edge of InAs/GaSb quantum spin Hall insulator, which shows characteristic suppression of conductance at low temperature and low bias voltage. Moreover, the conductance shows…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Tingxin Li , Pengjie Wang , Hailong Fu , Lingjie Du , Kate A. Schreiber , Xiaoyang Mu , Xiaoxue Liu , Gerard Sullivan , Gábor A. Csáthy , Xi Lin , Rui-Rui Du

Twisted bilayer graphene exhibits prominent correlated phenomena in two distinct regimes: a Kondo lattice near the magic angle, resembling heavy fermion systems, and a triangular correlated domain wall network under interlayer bias, akin to…

Strongly Correlated Electrons · Physics 2025-09-24 Yung-Yeh Chang , Kazuma Saito , Chen-Hsuan Hsu

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…

We study the electronic transmission through a graphene bilayer in the presence of an applied bias between layers. We consider different geometries involving interfaces between both a monolayer and a bilayer and between two bilayers. The…

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

The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 E. B. Sonin

Twisted double bilayer graphene is a compensated semi-metal near the charge neutrality point with the presence of small electron and hole pockets in its band structure. We show that strong Coulomb attraction between the electrons and holes…

Strongly Correlated Electrons · Physics 2023-07-26 Unmesh Ghorai , Ayan Ghosh , Anindya Das , Rajdeep Sensarma

We implement a self-consistent Hartree-Fock approximation based on a microscopic model in real space, which allows us to consider the interplay between the Hubbard and the extended Coulomb interaction in twisted bilayer graphene at the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 J. Gonzalez , T. Stauber

We investigate the effect of on-site Coulomb repulsion $U$ on the band gap of the electrically gated bilayer graphene by employing coherent potential approximation in the paramagnetic state, based on an ionic two-layer Hubbard model. We…

Strongly Correlated Electrons · Physics 2016-03-17 Jin-Rong Xu , Ze-Yi Song , Hai-Qing Lin , Yu-Zhong Zhang

The ability to control the strength of interaction is essential for studying quantum phenomena emerging from a system of correlated fermions. For example, the isotope effect illustrates the effect of electron-phonon coupling on…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Xiaoxue Liu , Zhi Wang , K. Watanabe , T. Taniguchi , Oskar Vafek , J. I. A. Li

Magnetotransport of conventional semiconductor based double layer systems with barrier suppressed interlayer tunneling has been a rewarding subject due to the emergence of an interlayer coherent state that behaves as an excitonic…

Mesoscale and Nanoscale Physics · Physics 2025-01-06 Dohun Kim , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jurgen H. Smet , Gil Young Cho , Youngwook Kim

Intrinsic bilayer graphene is a gapless semimetal. Under the application of a bias field it becomes a semiconductor with a direct band gap that is proportional to the applied field. Under a layer-asymmetric strain (where the upper layer…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 J. A. Crosse

Superlattices from twisted graphene mono- and bi-layer systems give rise to on-demand many-body states such as Mott insulators and unconventional superconductors. These phenomena are ascribed to a combination of flat bands and strong…

Gate-voltage control of inter-edge tunneling at a split-gate constriction in the fractional quantum Hall regime is reported. Quantitative agreement with the behavior predicted for out-of-equilibrium quasiparticle transport between chiral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba

Hidden duality and associated instabilities of the spinless Luttinger liquid on lattice are reported. The local quantum fluctuations and the long-distance chiral modes compete and as a result produce a hierarchy of exotic charge/density…

Strongly Correlated Electrons · Physics 2009-10-30 Z. N. C. Ha

The recent discovery of fractional quantum Hall states in graphene raises the question of whether the physics of graphene and its bilayer offers any advantages over GaAs-based materials in exploring strongly-correlated states of…

Mesoscale and Nanoscale Physics · Physics 2011-10-26 Z. Papic , R. Thomale , D. A. Abanin
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