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Close to charge neutrality, the low-energy properties of high-quality suspended devices based on atomically thin graphene layers are determined by electron-electron interactions. Bernal-stacked layers, in particular, have shown a remarkable…

Strongly Correlated Electrons · Physics 2016-10-20 Youngwoo Nam , Dong-Keun Ki , Mikito Koshino , Edward McCann , Alberto F. Morpurgo

The absence of an energy gap separating valence and conduction bands makes the low-energy electronic properties of graphene and its multi-layers sensitive to electron-electron interactions. In bilayers, for instance, interactions are…

Both insulating and conducting electronic behaviors have been experimentally seen in clean bilayer graphene samples at low temperature, and there is still no consensus on the nature of the interacting ground state at half-filling and in the…

Strongly Correlated Electrons · Physics 2019-09-11 Jia Ning Leaw , Ho-Kin Tang , Pinaki Sengupta , Fakher F. Assaad , Igor F. Herbut , Shaffique Adam

We apply the mean-field Hartree Fock theory of gapped electronic states at charge neutrality in bilayer graphene to thin films of rhombohedral graphite with up to thirty layers. For the ground state, the order parameter (the separation of…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 James H. Muten , Alex J. Copeland , Edward McCann

Multi-layer graphene on the carbon face of silicon carbide is an intriguing electronic system which typically consists of a stack of ten or more layers. Rotational stacking faults in this system dramatically reduce inter-layer coherence. In…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Rosario E. V. Profumo , Marco Polini , Reza Asgari , Rosario Fazio , A. H. MacDonald

In rhombohedral-stacked few-layer graphene, the very flat energy bands near the charge neutrality point are unstable to electronic interactions, giving rise to states with spontaneous broken symmetries. Using transport measurements on…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 K. Myhro , S. Che , Y. Shi , Y. Lee , K. Thilahar , K. Bleich , Dmitry Smirnov , C. N. Lau

Recent experiments indicate that the Bernal stacked graphene multilayer (BGM) have an interaction induced gapped (or pseudo gapped) ground state. Here, we propose that, due to the electron correlation, the BGM can be induced into a half…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Miao Liang , Shuai Li , Jin-Hua Gao

We introduce effective field theories for the electronic properties of graphene in terms of relativistic fermions propagating in 2+1 dimensions, and outline how strong inter-electron interactions may be modelled by numerical simulation of a…

Strongly Correlated Electrons · Physics 2015-01-09 Simon Hands , Wes Armour , Costas Strouthos

AA-stacked bilayer graphene supports Fermi circles in its bonding and antibonding bands which coincide exactly, leading to symmetry-breaking in the presence of electron-electron interactions. We analyze a continuum model of this system in…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 L. Brey , H. A. Fertig

We consider a model of half-filled bilayer graphene, in which the three dominant Slonczewski-Weiss-McClure hopping parameters are retained, in the presence of short range interactions. Under a smallness assumption on the interaction…

Mathematical Physics · Physics 2016-10-12 Alessandro Giuliani , Ian Jauslin

Electron-electron interactions play an important role in graphene and related systems and can induce exotic quantum states, especially in a stacked bilayer with a small twist angle. For bilayer graphene where the two layers are twisted by a…

Rhombohedral stacked multilayer graphene is an ideal platform to search for correlated electron phenomena, due to its pair of flat bands touching at zero energy and further tunability by an electric field. Furthermore, its valley-dependent…

Mesoscale and Nanoscale Physics · Physics 2024-02-29 Tonghang Han , Zhengguang Lu , Giovanni Scuri , Jiho Sung , Jue Wang , Tianyi Han , Kenji Watanabe , Takashi Taniguchi , Hongkun Park , Long Ju

We propose that a weakly spontaneous charge-ordered insulating state probably exists in Bernal-stacked bilayer graphene which can account for experimentally observed non-monotonic behavior of resistance as a function of the gated field,…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Xiu-Cai Jiang , Ze-Yi Song , Ze Ruan , Yu-Zhong Zhang

Bernal bilayer graphene has recently been discovered to exhibit a wide range of unique ordered phases resulting from interaction-driven effects and encompassing spin and valley magnetism, correlated insulators, correlated metals, and…

Suspended Bernal-stacked graphene multilayers up to an unexpectedly large thickness exhibit a broken-symmetry ground state, whose origin remains to be understood. Here we show that a finite-temperature second order phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

There has been a lot of excitement around the observation of superconductivity in twisted bilayer graphene, associated to flat bands close to the Fermi level. Such correlated electronic states also occur in multilayer rhombohedral stacked…

Materials Science · Physics 2021-02-26 Jean Paul Nery , Matteo Calandra , Francesco Mauri

We analyze the ordered phases of Bernal stacked multilayer graphene in the presence of interaction induced band gaps due to sublattice symmetry breaking potentials, whose solutions can be analyzed in terms of light-mass and heavy-mass…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Chiho Yoon , Yunsu Jang , Jeil Jung , Hongki Min

In this work, we study the synergistic correlated states in two distinct types of interacting electronic systems coupled by interlayer Coulomb interactions. We propose that this scenario can be realized in a type of Coulomb-coupled…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Xin Lu , Shihao Zhang , Yaning Wang , Xiang Gao , Kaining Yang , Zhongqing Guo , Yuchen Gao , Yu Ye , Zheng Vitto Han , Jianpeng Liu

Fabrication of devices made by isolated Graphene or Graphene-like single layers (such as h-BN) has opened up possibility of examining highly correlated states of electron systems in parts of their phase diagram that is impossible to access…

Strongly Correlated Electrons · Physics 2015-12-08 Bahman Roostaei

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

Strongly Correlated Electrons · Physics 2015-06-04 Van-Nham Phan , Holger Fehske
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