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Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the interaction parameters of such models taking into…

Strongly Correlated Electrons · Physics 2020-08-05 Tuomas I. Vanhala , Lode Pollet

Electron's tunneling through potential barrier in monolayer and bilayer graphene lattices is investigated by using full tight-binding model. Emphasis is placed on the resonance tunneling feature and inter-valley scattering probability. It…

Mesoscale and Nanoscale Physics · Physics 2008-08-25 Di Wu , Weiqiang Chen , Fu-Chun Zhang

For the unconventional superconducting phases in moire materials, a critical question is the role played by electronic interactions in the formation of Cooper pairs. In twisted bilayer graphene (tBLG), the strength of electronic…

Twisted graphene based moir\'e heterostructures host a flat band at the magic angles where the kinetic energy of the charge carriers is quenched and interaction effects dominate. This results in emergent phases such as superconductors and…

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

This work put forward a comprehensive study of moire pattern in commensurate twisted bilayer graphene (TBG) to determine the connection of moire period with corresponding twist angle. Using the understanding of moire pattern, computational…

Materials Science · Physics 2024-02-14 Veer Pal , Ajay

A scalable tight-binding model is applied for large-scale quantum transport calculations in clean graphene subject to electrostatic superlattice potentials, including two types of graphene superlattices: moir\'e patterns due to the stacking…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Szu-Chao Chen , Rainer Kraft , Romain Danneau , Klaus Richter , Ming-Hao Liu

Electronically gated bilayer graphene behaves as a tunable gap semiconductor under a uniform interlayer bias $V_{g}$. Imposing a spatially varying bias, which changes polarity from $-V_g$ to $+V_g$, leads to one dimensional (1D) chiral…

Strongly Correlated Electrons · Physics 2015-05-18 Matthew Killi , Tzu-Chieh Wei , Ian Affleck , Arun Paramekanti

Graphene, as an atomic-thick ultrasoft membrane, almost has no resistance against out-of-plane deformations and, therefore, it is always wrinkled to a certain degree. Recently, corrugated structures and their effects on the electronic…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Si-Yu Li , Hua Jiang , Jiao-Jiao Zhou , Haiwen Liu , Fan Zhang , Lin He

We report the infrared transmission measurement on electrically gated twisted bilayer graphene. The optical absorption spectrum clearly manifests the dramatic changes such as the splitting of inter-linear-band absorption step, the shift of…

Materials Science · Physics 2019-11-11 Kwangnam Yu , Van Luan Nguyen , Tae Soo Kim , Jiwon Jeon , Jiho Kim , Pilkyung Moon , Young Hee Lee , E. J. Choi

Coulomb drag between parallel quantum wells provides a uniquely sensitive measurement of electron correlations since the drag response depends on interactions only. Recently it has been demonstrated that a new regime of strong interactions…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 J. I. A. Li , T. Taniguchi , K. Watanabe , J. Hone , A. Levchenko , C. R. Dean

Controlling the bandstructure of Dirac materials is of wide interest in current research but has remained an outstanding challenge for systems such as monolayer graphene. In contrast, Bernal bilayer graphene (BLG) offers a highly flexible…

Two monolayers of graphene twisted by a small `magic' angle exhibit nearly flat bands leading to correlated electronic states and superconductivity, whose precise nature including possible broken symmetries, remain under debate. Here we…

Strongly Correlated Electrons · Physics 2019-12-13 Jong Yeon Lee , Eslam Khalaf , Shang Liu , Xiaomeng Liu , Zeyu Hao , Philip Kim , Ashvin Vishwanath

Electrical control of superconductivity is critical for nanoscale superconducting circuits including cryogenic memory elements, superconducting field-effect transistors (FETs), and gate-tunable qubits. Superconducting FETs operate through…

Bernal bilayer graphene exhibits a band gap that is tunable through the infrared with an electric field. We show that sublattice odd commensurate twisted bilayer graphene (C-TBG) exhibits a band gap that is tunable through the terahertz…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Spenser Talkington , Eugene J. Mele

External magnetic fields conventionally suppress superconductivity, both by orbital and paramagnetic effects. A recent experiment has shown that in a Bernal stacked bilayer graphene system, the opposite occurs -- a finite critical magnetic…

Superconductivity · Physics 2023-08-01 Gal Shavit , Yuval Oreg

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'{e} superlattice. Such superlattices are known to host bulk valley currents at tiny…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 T. M. R. Wolf , J. L. Lado , G. Blatter , O. Zilberberg

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…

Large-angle twisted bilayer graphene (tBLG) is known to be electronically decoupled due to the spatial separation of the Dirac cones corresponding to individual graphene layers in the reciprocal space. The close spacing between the layers…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Alina Mrenca-Kolasinska , Peter Rickhaus , Giulia Zheng , Klaus Richter , Thomas Ihn , Klaus Ensslin , Ming-Hao Liu

We present a theory of phonon-mediated superconductivity in near magic angle twisted bilayer graphene. Using a microscopic model for phonon coupling to moir\'e band electrons, we find that phonons generate attractive interactions in both…

Superconductivity · Physics 2018-12-19 Fengcheng Wu , A. H. MacDonald , Ivar Martin