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Fermi surface topology plays an important role in determining the electronic properties of metals. In bulk metals, the Fermi energy is not easily tunable at the energy scale needed for reaching conditions for the Lifshitz transition - a…

As the Fermi level and band structure of two-dimensional materials are readily tunable, they constitute an ideal platform for exploring Lifshitz transition, a change in the topology of a material's Fermi surface. Using tetralayer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 Yanmeng Shi , Shi Che , Kuan Zhou , Supeng Ge , Ziqi Pi , Timothy Espiritu , Takashi Taniguchi , Kenji Watanabe , Yafis Barlas , Roger Lake , Chun Ning Lau

It is shown theoretically that the renormalization of the electron energy spectrum of bilayer graphene with a strong high-frequency electromagnetic field (dressing field) results in the Lifshitz transition - the abrupt change in the…

Mesoscale and Nanoscale Physics · Physics 2017-10-13 I. V. Iorsh , K. Dini , O. V. Kibis , I. A. Shelykh

We show that topology of the low-energy band structure in bilayer graphene critically depends on mechanical deformations of the crystal which may easily develop in suspended graphene flakes. We describe the Lifshitz transition that takes…

Mesoscale and Nanoscale Physics · Physics 2011-07-19 Marcin Mucha-Kruczynski , Igor L. Aleiner , Vladimir I. Fal'ko

Twisted two-dimensional structures open new possibilities in band structure engineering. At magic twist angles, flat bands emerge, which give a new drive to the field of strongly correlated physics. In twisted double bilayer graphene dual…

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 report electric field-controlled modulation of the Fermi surface topology and explore its effects on the superconducting state in alternating-angle twisted quadrilayer graphene (TQG). The unique combination of flat and dispersive bands…

The second-order nonlinear electrical response (NLER) is an intrinsic property of inversion symmetry-broken systems which can provide deep insights into the electronic band structures of atomically thin quantum materials. However, the…

Mesoscale and Nanoscale Physics · Physics 2025-07-09 Tanweer Ahmed , Harsh Varshney , Bao Q. Tu , Kenji Watanabe , Takashi Taniguchi , Marco Gobbi , Fèlix Casanova , Amit Agarwal , Luis E. Hueso

One hallmark of the Weyl semimetal is the emergence of Fermi arcs (FAs) in the surface Brillouin zone that connect the projected Weyl nodes of opposite chirality. The unclosed FAs can give rise to various exotic effects that have attracted…

Mesoscale and Nanoscale Physics · Physics 2023-10-18 Yue Zheng , Wei Chen , Xiangang Wan , D. Y. Xing

We study the renormalization of the effective mass and trigonal warping of bilayer graphene by the electron-electron interaction. One consequence of such a renormalization in the low-energy bands of a bilayer crystal consists of a small…

Mesoscale and Nanoscale Physics · Physics 2009-03-16 Csaba Toke , Vladimir I. Fal'ko

For twisted bilayer graphene close to magic angle, we show that the effects of lattice relaxation and the Hartree interaction both become simultaneously important. Including both effects in a continuum theory reveals a Lifshitz transition…

Strongly Correlated Electrons · Physics 2024-04-30 Mohammed M. Al Ezzi , Liangtao Peng , Zhengyu Liu , Jonah Huang Zi Chao , Gayani N. Pallewela , Darryl Foo , Shaffique Adam

The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 E. Suárez Morell , J. D. Correa , P. Vargas , M. Pacheco , Z. Barticevic

We consider the AB-(Bernal) stacking for the bi-layer graphene (BLG) system and assume that a perpendicular electric field is created by the external gates deposited on the BLG surface. In the basis (A1, B2, A2, B1) for the valley K and the…

Mesoscale and Nanoscale Physics · Physics 2012-08-09 Partha Goswami

The electronic dispersion of a graphene bilayer is highly dependent on rotational mismatch between layers and can be further manipulated by electrical gating. This allows for an unprecedented control over electronic properties and opens up…

Materials Science · Physics 2016-08-31 Johannes C. Rode , Dmitri Smirnov , Hennrik Schmidt , Rolf J. Haug

Materials with flat electronic bands often exhibit exotic quantum phenomena owing to strong correlations. Remarkably, an isolated low-energy flat band can be induced in bilayer graphene by simply rotating the layers to 1.1$^{\circ}$,…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Matthew Yankowitz , Shaowen Chen , Hryhoriy Polshyn , K. Watanabe , T. Taniguchi , David Graf , Andrea F. Young , Cory R. Dean

The electronic band structure of ABC-stacked multilayer graphene is studied within an effective mass approximation. The electron and hole bands touching at zero energy support chiral quasiparticles characterized by Berry's phase N pi for…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Mikito Koshino , Edward McCann

Control over minivalley polarization and interlayer coupling is demonstrated in double bilayer graphene twisted with an angle of 2.37$^\circ$. This intermediate angle is small enough for the minibands to form and large enough such that the…

Bilayer graphene has drawn significant attention due to the opening of a band gap in its low energy electronic spectrum, which offers a promising route to electronic applications. The gap can be either tunable through an external electric…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Gregory M. Rutter , Suyong Jung , Nikolai N. Klimov , David B. Newell , Nikolai B. Zhitenev , Joseph A. Stroscio

Van Hove singularities enhance many-body interactions and induce collective states of matter ranging from superconductivity to magnetism. In magic-angle twisted bilayer graphene, van Hove singularities appear at low energies and are…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Suvronil Datta , Saisab Bhowmik , Harsh Varshney , Kenji Watanabe , Takashi Taniguchi , Amit Agarwal , U. Chandni

Displacement field control of elecronic bands in low-dimensional systems is a promising route toward engineering emergent quantum phases. Here, we report displacement-field-induced band inversion and modulation of the Berry phase of…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Harsimran Kaur Mann , Simrandeep Kaur , Safil Mullick , Priya Tiwari , Kenji Watanabe , Takashi Taniguchi , Aveek Bid
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