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A parabolic quantum dot (QD) as realized by biasing nanostructured gates on bilayer graphene is investigated in the presence of electron-electron interaction. The energy spectrum and the phase diagram reveal unexpected transitions as…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 M. Zarenia , B. Partoens , T. Chakraborty , F. M. Peeters

We present Coulomb-drag measurements on a heterostructure comprising two Bernal-stacked bilayer graphene (BLG) sheets separated by a 2.5 nm hexagonal boron nitride (hBN) spacer in the quantum Hall (QH) regime. Using top and bottom gate…

Mesoscale and Nanoscale Physics · Physics 2026-03-18 Zeyu Hao , A. M. Zimmerman , Kenji Watanabe , Takashi Taniguchi , Philip Kim

We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing…

Strongly Correlated Electrons · Physics 2021-01-12 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Jian Kang

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…

Two dimensional moir\'e systems have recently emerged as a platform in which the interplay between topology and strong correlations of electrons play out in non-trivial ways. Among these systems, twisted double bilayer graphene (TDBG) is of…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 Debasmita Giri , Dibya Kanti Mukherjee , H. A. Fertig , Arijit Kundu

Graphene-based moir\'e superlattice featuring flat bands is a promising platform for studying strongly correlated states. By tuning two twist angles and displacement fields in twisted mono-mono-bilayer graphene (TMMBG), we observed a…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Jin Jiang , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

Mesoscale and Nanoscale Physics · Physics 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

The intrinsic valley degree of freedom makes bilayer graphene (BLG) a unique platform for semiconductor qubits. The single-carrier quantum dot (QD) ground state exhibits a two-fold degeneracy, where the two states that constitute a Kramers…

In this paper, the electronic properties of 30{\deg} twisted double bilayer graphene, which loses the translational symmetry due to the incommensurate twist angle, are studied by means of the tight-binding approximation. We demonstrate the…

Materials Science · Physics 2020-09-14 Guodong Yu , Zewen Wu , Zhen Zhan , Mikhail I. Katsnelson , Shengjun Yuan

Superconductivity often occurs close to broken-symmetry parent states and is especially common in doped magnetic insulators. When twisted close to a magic relative orientation angle near 1 degree, bilayer graphene has flat moire…

We investigate physical properties that can be used to distinguish the valley degree of freedom in systems where inversion symmetry is broken, using graphene systems as examples. We show that the pseudospin associated with the valley index…

Materials Science · Physics 2011-11-10 Di Xiao , Wang Yao , Qian Niu

Moir\'e superlattices in twisted homo-bilayers have revealed exotic electronic states, including unconventional superconductivity and correlated insulating phases. However, their fabrication process often introduces moir\'e disorders,…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Zeyu Liu , Xianghua Kong , Zewen Wu , Linwei Zhou , Jingsi Qiao , Wei Ji

We investigate the electrical transport properties of the mini-valley polarized state proposed recently in slightly doped Bernal Bilayer Graphene (BLG) in large electric displacement fields. By minimizing the Hartree-Fock energy functional,…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Yuelin Shao , Xi Dai

Novel physical properties have been reported recently by stacking graphene-like systems in different configurations. Here, we explore the nature of emergent localized states at the edges of twisted bilayer graphene nanoribbons. Based on an…

Other Condensed Matter · Physics 2025-05-13 Kevin J. U. Vidarte , A. B. Felix , A. Latgé

Graphene [1] and its bilayer have generated tremendous excitement in the physics community due to their unique electronic properties [2]. The intrinsic physics of these materials, however, is partially masked by disorder, which can arise…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Benjamin E. Feldman , Jens Martin , Amir Yacoby

We study the origin of interface states in carbon nanotube intramolecular junctions between achiral tubes. By applying the Born-von Karman boundary condition to an interface between armchair- and zigzag-terminated graphene layers, we are…

Mesoscale and Nanoscale Physics · Physics 2009-07-01 H. Santos , A. Ayuela , W. Jaskólski , M. Pelc , L. Chico

The electronic properties of graphene can be manipulated via mechanical deformations, which opens prospects for studying the Dirac fermions in new regimes and for new device applications. Certain natural configurations of strain generate…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 D. A. Abanin , D. A. Pesin

We present the results for the evolution of the Fermi surfaces under variation of number density and displacement field for spin and valley-polarized states in Bernal bilayer graphene (BBG) using a realistic form of the electronic…

Strongly Correlated Electrons · Physics 2025-04-04 R. David Mayrhofer , Andrey V. Chubukov

The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby

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
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