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Bilayer graphene cavities where electrons are confined within finite graphene flakes provide an alluring platform not only for the future nanoelectronic devices owing to the tunable energy gap but also for investigating the quantum nature…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Jucheng Lin , Yicheng Zhuang , Anton M. Graf , Joonas Keski-Rahkonen , Eric J. Heller

We study a family of globally smooth spatially varying two dimensional stacking textures in bilayer graphene. We find that the strain-minimizing stacking patterns connecting inequivalent ground states with local $AB$ and $BA$ interlayer…

Mesoscale and Nanoscale Physics · Physics 2014-04-01 Xingting Gong , E. J. Mele

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 Edward McCann , Mikito Koshino

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

We theoretically study the many-body effects of electron electron interaction on the single particle spectral function of doped bilayer graphene. Using random phase approximation, we calculate the real and imaginary part of the self-energy…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Rajdeep Sensarma , E. H. Hwang , S. Das Sarma

Starting from the effective Hamiltonian arising from the tight binding model, we study the behaviour of low-lying excitations for bilayer graphene placed in periodic external magnetic fields by using irreducible second order supersymmetry…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 David J. Fernández C. , O. Pavón-Torres

We use the exact analytical technique introduced in Phys. Rev. B 101, 115405 to recover the surface Green's functions and the corresponding Fermi-arc surface states for various lattice models of Weyl semimetals. For these models we use the…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Sarah Pinon , Vardan Kaladzhyan , Cristina Bena

By taking into account the possibility of all the intralayer as well as the interlayer current orderings, we derive an eight-band model for interacting electrons in bilayer graphene. With the numerical solution to the model, we show that…

Strongly Correlated Electrons · Physics 2015-08-31 Xin-Zhong Yan , C. S. Ting

We investigate a magnetic impurity in Bernal stacked bilayer graphene by a non-perturbative numerical exact approach. In the two cases we study, impurity is placed on the top of two different sublattices (A and B) in bilayer graphene. We…

Strongly Correlated Electrons · Physics 2012-06-05 J. H. Sun , F. M. Hu , H. K. Tang , H. Q. Lin

We calculate the single-particle spectral function for doped bilayer graphene in the low energy limit, described by two parabolic bands with zero band gap and long range Coulomb interaction. Calculations are done using thermal Green's…

Mesoscale and Nanoscale Physics · Physics 2014-04-18 Andro Sabashvili , Stellan Östlund , Mats Granath

Moir\'e lattices are a general feature of bilayer structures, where an additional periodic superstructure is generated by either lattice mismatch or from a twist angle. They have been shown to stabilise new ground states, including…

Strongly Correlated Electrons · Physics 2025-03-17 Luke C. Rhodes , Dylan C. Houston , Olivia R. Armitage , Peter Wahl

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

We show that the fractional statistics of quasiparticles in dimerized graphene, in recent proposals for charge and statistics fractionalization, can have two realizations depending whether elementary objects can be considered as point-like…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Milovanović

We show that electronic materials with disallowed rotational symmetries that enforce quasiperiodic order can exhibit quantum oscillations and that these are generically associated with exotic "spiral Fermi surfaces." These Fermi surfaces…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Stephen Spurrier , Nigel R. Cooper

We have investigated the effects of inplane and interplane nearest neighbour overlap integrals ($s_0$ and $s_1$) and site energy difference between atoms in two different sublattices in the same graphene layer ($\Delta$) on the electronic…

Materials Science · Physics 2009-07-27 Rupali Kundu

Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band…

Mesoscale and Nanoscale Physics · Physics 2010-10-06 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

The low-energy physics of rhombohedral $N$-layer graphene mainly arises on the external layers, where most of the {\pi} electrons are located. Their Bloch band structure defines a two-band semimetal; the dispersion relation scales as $\pm…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 C. Dutreix , M. I. Katsnelson

We obtain the quasiparticle band structure of ABA and ABC-stacked graphene trilayers through ab initio density functional theory (DFT) and many-body quasiparticle calculations within the GW approximation. To interpret our results, we fit…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Marcos G. Menezes , Rodrigo B. Capaz , Steven G. Louie

We propose that the energy-dependent spatial modulation of the local density of states seen by Hoffman, et al [hoff2] is due to the scattering interference of quasiparticles. In this paper we present the general theoretical basis for such…

Superconductivity · Physics 2009-11-07 Qiang-Hua Wang , Dung-Hai Lee

We study the effect of electron-electron interactions in the quasiparticle dispersion of a graphene bilayer within the Hartree-Fock-Thomas-Fermi theory by using a four-bands model. We find that the electronic fluid can be described by a…

Strongly Correlated Electrons · Physics 2009-03-21 S. Viola Kusminskiy , D. K. Campbell , A. H. Castro Neto