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The magnetic phase diagram of a ground state is studied theoretically for graphene nanoflakes of bow-tie shape and various size in external in-plane magnetic field. The tight-binding Hamiltonian supplemented with Hubbard term is used to…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 Karol Szałowski

We investigate novel Landau level structures of semi-metals with nodal ring dispersions. When the magnetic field is applied parallel to the plane in which the ring lies, there exist almost non-dispersive Landau levels at the Fermi level…

Strongly Correlated Electrons · Physics 2015-08-04 Jun-Won Rhim , Yong Baek Kim

The generalized tight-binding model, based on the subenvelope functions of distinct sublattices, is developed to investigate the magnetic quantization in sliding bilayer graphenes. The relative shift of two graphene layers induces a…

Materials Science · Physics 2016-11-18 Yao-Kung Huang , Szu-Chao Chen , Yen-Hung Ho , Chiun-Yan Lin , Ming-Fa Lin

With the two-band continuum model, we study the broken inversion and time-reversal symmetry state of electrons with finite-range repulsive interactions in bilayer graphene. With the analytical solution to the mean-field Hamiltonian, we…

Strongly Correlated Electrons · Physics 2012-12-19 Xin-Zhong Yan , C. S. Ting

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

We develop a theory for quantum phases and quantum multicriticality in bilayer graphene in the presence of an explicit energy gap in the non-interacting spectrum by extending previous renormalization group (RG) analyses of electron-electron…

Strongly Correlated Electrons · Physics 2014-11-18 Robert E. Throckmorton , S. Das Sarma

The lowest Landau level of bilayer graphene has an octet of internal degrees of freedom, composed from spin, valley and orbital two-level systems. Dominance of $n=0$ orbitals over $n=1$ orbitals in low energy quantum fluctuations leads to…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Bishoy M. Kousa , Nemin Wei , Allan H. MacDonald

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

Bilayer graphene has attracted considerable interest due to the important role played by many-body effects, particularly at low energies. Here we report local compressibility measurements of a suspended graphene bilayer. We find that the…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jens Martin , Benjamin E. Feldman , R. Thomas Weitz , Monica T. Allen , Amir Yacoby

First-order phase transitions produce abrupt changes to the character of both ground and excited electronic states. Here we conduct electronic compressibility measurements to map the spin phase diagram and Landau level (LL) energies of…

We analyze the spectroscopic features of bilayer graphene determined by the formation of pairs of low-energy and split bands in this material. We show that the inter-Landau-level absorption spectrum in bilayer graphene at high magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. L. Abergel , Vladimir I. Fal'ko

We present non-linear transport measurements on suspended, current annealed bilayer graphene devices. Using a multi-terminal geometry we demonstrate that devices tend to be inhomogeneous and host two different electronic phases next to each…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

The magnetoelectronic properties of quasi-one-dimensional zigzag graphene nanoribbons are investigated by using the Peierls tight-binding model. Quasi-Landau levels (QLLs), dispersionless Landau subbands within a certain region of k-space,…

Mesoscale and Nanoscale Physics · Physics 2014-05-19 Hsien-Ching Chung , Po-Hua Yang , To-Sing Li , Ming-Fa Lin

We investigate magnetic instabilities in charge-neutral twisted bilayer graphene close to so-called "magic angles" using a combination of real-space Hartree-Fock and dynamical mean-field theories. In view of the large size of the unit cell…

Strongly Correlated Electrons · Physics 2021-12-08 Javad Vahedi , Robert Peters , Ahmed Missaoui , Andreas Honecker , Guy Trambly de Laissardière

The effects of the long range electrostatic interaction in twisted bilayer graphene are described using the Hartree-Fock approximation. The results show a significant dependence of the band widths and shapes on electron filling, and the…

Mesoscale and Nanoscale Physics · Physics 2022-07-29 Tommaso Cea , Pierre A. Pantaleón , Niels R. Walet , Francisco Guinea

It has been demonstrated that small plaquettes of quantum dot spin qubits are capable of simulating condensed matter phenomena which arise from the Hubbard model, such as the collective Coulomb blockade and Nagaoka ferromagnetism. Motivated…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 Donovan Buterakos , Sankar Das Sarma

The $\nu = 0$ quantum Hall state of bilayer graphene is a fertile playground to realize many-body ground states with various broken symmetries. Here we report the experimental observations of a previously unreported metallic phase. The…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Jing Li , Hailong Fu , Zhenxi Yin , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

Bilayer graphene has a unique electronic structure influenced by a complex interplay between various degrees of freedom. We probe its chemical potential using double bilayer graphene heterostructures, separated by a hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2014-07-08 Kayoung Lee , Babak Fallahazad , Jiamin Xue , David C. Dillen , Kyounghwan Kim , Takashi Taniguchi , Kenji Watanabe , Emanuel Tutuc

Bilayer graphene contains, compared to graphene monolayer, an additional graphene sheet and, therefore, extra degrees of freedom, making it a unique system for complex electronic states to emerge. Here, we show that there are two types of…

Materials Science · Physics 2015-09-16 Long-Jing , Si-Yu Li , Jia-Bin Qiao , Wei-Jie Zuo , Lin He

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
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