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The recently demonstrated unconventional superconductivity in twisted bilayer graphene (tBLG) opens the possibility for interesting applications of two-dimensional layers that involve correlated electron states. Here we explore the…

Mesoscale and Nanoscale Physics · Physics 2018-08-30 Stephen Carr , Shiang Fang , Pablo Jarillo-Herrero , Efthimios Kaxiras

Motivated by recent observations of symmtry broken phases in lightly-doped multilayer graphene, we investigate magnetic phase transitions in a generalized electron gas model with four-component electron spin. This model simplifies the…

Strongly Correlated Electrons · Physics 2025-01-14 Chen-How Huang , Chunli Huang , M. A. Cazalilla

Long-ranged electrostatic interactions in electrolytes modify their contact angles on charged substrates in a scale and geometry dependent manner. For angles measured at scales smaller than the typical Debye screening length, the wetting…

Soft Condensed Matter · Physics 2009-11-07 Tom Chou

We report on multiterminal measurements in a ballistic bilayer graphene (BLG) channel where multiple spin and valley-degenerate quantum point contacts (QPCs) are defined by electrostatic gating. By patterning QPCs of different shapes and…

According to electronic structure theory, bilayer graphene is expected to have anomalous electronic properties when it has long-period moir\'e patterns produced by small misalignments between its individual layer honeycomb lattices. We have…

Selection rules and interference effects in angle resolved photoemission spectra from twisted graphene bilayers are studied within a long wavelength theory for the electronic structure. Using a generic model for the interlayer coupling, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Anshuman Pal , E. J. Mele

Using the tight-binding model, we report a gap opening in the energy spectrum of the twisted bilayer graphene under the application of pressure, that can be further amplified by the presence of a perpendicular bias voltage. The valley edges…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 V. G. M. Duarte , D. R. da Costa , N. M. R. Peres , L. K. Teles , A. J. Chaves

Twisted bilayer graphene (TBG) provides a unique framework to elucidate the interplay between strong correlations and topological phenomena in two-dimensional systems. The existence of multiple electronic degrees of freedom -- charge, spin,…

Strongly Correlated Electrons · Physics 2021-01-27 Yuan Da Liao , Jian Kang , Clara N. Breiø , Xiao Yan Xu , Han-Qing Wu , Brian M. Andersen , Rafael M. Fernandes , Zi Yang Meng

The relativistic-like behavior of electrons in graphene significantly influences the interaction properties of these electrons in a quantizing magnetic field, resulting in more stable fractional quantum Hall effect states as compared to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Tapash Chakraborty , Vadim Apalkov

We calculate the \tco{polarization}-controlled Rayleigh scattering response of twisted bilayer graphene (tBLG) based on the continuum electronic band model developed by Bistritzer and MacDonald while considering its refinements which…

Mesoscale and Nanoscale Physics · Physics 2023-06-01 Disha Arora , Deepanshu Aggarwal , Sankalpa Ghosh , Rohit Narula

We characterise the dynamics of electrons in twisted bilayer graphene by analysing the time-evolution of electron waves in the atomic lattice. We perform simulations based on a kernel polynomial technique using Chebyshev polynomial; this…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 H. Nam Do , H. Anh Le , D. Bercioux

A drastic modification of electronic band structure is predicted in bilayer graphene when it is placed between two ferromagnetic insulators. Due to the exchange interaction with the proximate ferromagnet, the electronic energy dispersion in…

Materials Science · Physics 2008-04-04 Y. G. Semenov , K. W. Kim , J. M. Zavada

The Hamiltonian of the magic-angle twisted symmetric trilayer graphene (TSTG) can be decomposed into a TBG-like flat band Hamiltonian and a high-velocity Dirac fermion Hamiltonian. We use Hartree-Fock mean field approach to study the…

Mesoscale and Nanoscale Physics · Physics 2021-10-19 Fang Xie , Nicolas Regnault , Dumitru Călugăru , B. Andrei Bernevig , Biao Lian

Using mean-field theory, we determine the electronic phase diagram of undoped AB-stacked bilayer graphene in the presence of a transverse electric field. In addition to multiple competing electronic instabilities characterized by excitonic…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 A. V. Rozhkov , A. O. Sboychakov , A. L. Rakhmanov

Magic-angle twisted bilayer graphene exhibits a panoply of many-body phenomena that are intimately tied to the appearance of narrow and well-isolated electronic bands. The microscopic ingredients that are responsible for the complex…

Strongly Correlated Electrons · Physics 2021-10-04 Cyprian Lewandowski , Stevan Nadj-Perge , Debanjan Chowdhury

Crystal fields occur due to a potential difference between chemically different atomic species. In Van-der-Waals heterostructures such fields are naturally present perpendicular to the planes. It has been realized recently that twisted…

Using molecular simulation and continuum dielectric theory, we consider how electrochemical kinetics are modulated by twist angle in bilayer graphene electrodes. By establishing a connection between twist angle and the screening length of…

Statistical Mechanics · Physics 2024-11-06 Leonardo Coello Escalante , David T. Limmer

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

In a recent paper [Phys. Rev. B 89, 125418 (2014)], the authors argue that it is possible to map the electronic properties of twisted bilayer graphene to those of bilayer graphene in an in-plane magnetic field. However, their description of…

Mesoscale and Nanoscale Physics · Physics 2016-06-16 M. Van der Donck , F. M. Peeters , B. Van Duppen

A variety of new and interesting correlated states have been predicted in graphene monolayer doped to Van Hove singularities (VHSs) of its density-of-state (DOS). However, tuning the Fermi energy to reach a VHS of graphene by either gating…

Mesoscale and Nanoscale Physics · Physics 2017-05-11 Si-Yu Li , Ke-Qin Liu , Long-Jin Yin , Wen-Xiao Wang , Wei Yan , Xu-Qin Yang , Jun-Kai Yang , Haiwen Liu , Hua Jiang , Lin He