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The crystallographic stacking order in multilayer graphene plays an important role in determining its electronic properties. It has been predicted that a rhombohedral (ABC) stacking displays a conducting surface state with flat electronic…

Atomically thin materials offer multiple opportunities for layer-by-layer control of their electronic properties. While monolayer graphene (MLG) is a zero-gap system, Bernal-stacked bilayer graphene (BLG) acquires a finite band gap when the…

Rhombohedral-stacked multilayer graphene aligned with hexagonal boron nitride has emerged as an excellent platform for investigating exotic quantum phenomena arising from the interplay between electron correlations and nontrivial topology.…

Multi-layer graphene on the carbon face of silicon carbide is an intriguing electronic system which typically consists of a stack of ten or more layers. Rotational stacking faults in this system dramatically reduce inter-layer coherence. In…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Rosario E. V. Profumo , Marco Polini , Reza Asgari , Rosario Fazio , A. H. MacDonald

We calculate theoretically the Coulomb drag resistivity for two graphene monolayers spatially separated by a distance "$d$". We show that the frictional drag induced by inter-layer electron-electron interaction goes asymptotically as…

Mesoscale and Nanoscale Physics · Physics 2012-01-04 E. H. Hwang , S. Das Sarma

Nontrivial interacting phases can emerge in elementary materials. As a prime example, continuing advances in device quality have facilitated the observation of a variety of spontaneous quantum Hall-like states, a cascade of Stoner-like…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Felix Winterer , Fabian R. Geisenhof , Noelia Fernandez , Anna M. Seiler , Fan Zhang , R. Thomas Weitz

Using highly efficient GPU-based simulations of the tight-binding Bogoliubov-de Gennes equations we solve self-consistently for the pair correlation in rhombohedral (ABC) and Bernal (ABA) multilayer graphene by considering a finite…

Superconductivity · Physics 2015-06-12 W. A. Munoz , L. Covaci , F. M. Peeters

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the…

Mesoscale and Nanoscale Physics · Physics 2008-01-28 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

We investigate in detail the $\nu=+1$ displacement-field-tuned interacting phase diagram of $L=3,4,5,6,7$ layer rhombohedral graphene aligned to hBN (R$L$G/hBN). Our calculations account for the 3D nature of the Coulomb interaction, the…

Strongly Correlated Electrons · Physics 2025-10-08 Yves H. Kwan , Jiabin Yu , Jonah Herzog-Arbeitman , Dmitri K. Efetov , Nicolas Regnault , B. Andrei Bernevig

The interaction between graphene and hexagonal boron nitride (hBN) plays a pivotal role in determining the electronic and structural properties of graphene-based devices. In this work, we employ quantum Monte Carlo (QMC) to study the…

In van der Waals bonded or rotationally disordered multilayer stacks of two-dimensional (2D) materials, the electronic states remain tightly confined within individual 2D layers. As a result, electron-phonon interactions occur primarily…

We investigate gated multilayer graphene with stacking order change along the armchair direction. We consider some layers cracked to release shear strain at the stacking domain wall. The energy cones of graphene overlap along the…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Włodzimierz Jaskólski

Recent studies have reported emergent ferroelectric behavior in twisted or moir\'e-engineered graphene-based van der Waals heterostructures, yet the microscopic origin of this effect remains under debate. Pristine mono- or few-layer…

With the help of the quantum chemistry methods we have investigated the nature of interlayer interactions between graphene fragments in different stacking arrangements (AA and AB). We found that the AB stacking pattern as the ground state…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 Julia Berashevich , Tapash Chakraborty

We study the ground state phase diagram of the extended Hubbard model in a half-filled 5/7 skewed ladder, which is topologically equivalent to a \{112\} grain boundary in graphene and related systems. Using the mean-field method, we…

Strongly Correlated Electrons · Physics 2025-07-15 Sishir Jana , Dayasindhu Dey , Manoranjan Kumar , S. Ramasesha , Rajamani Raghunathan

A DFT-based investigation of rhombohedral (ABC)-type graphene stacks in finite static electric fields is presented. Electronic band structures and field-induced charge densities are compared with related literature data as well as with own…

Materials Science · Physics 2015-05-28 Ruijuan Xiao , F. Tasnádi , K. Koepernik , J. W. F. Venderbos , M. Richter , M. Taut

The evolution of electronic structure of graphene nanoribbons (GNRs) as a function of the number of layers stacked together is investigated using \textit{ab initio} density functional theory (DFT) including interlayer van der Waals…

Materials Science · Physics 2011-10-28 Neerav Kharche , Yu Zhou , Kevin P. O'Brien , Swastik Kar , Saroj K. Nayak

We study the ground state properties of an ABA-stacked trilayer graphene. The low energy band structure can be described by a combination of both a linear and a quadratic particle-hole symmetric dispersions, reminiscent of monolayer- and…

Mesoscale and Nanoscale Physics · Physics 2012-03-08 Ralph van Gelderen , Lih-King Lim , C. Morais Smith

Graphite occurs in a range of metastable stacking orders characterized by both the number and direction of shifts between adjacent layers by the length of a single carbon-carbon bond. At the extremes are Bernal (or ``ABAB...'') stacking,…

Topological insulators represent a paradigm shift in surface physics. The most extensively studied Bi$_2$Se$_3$-type topological insulators exhibit layered structures, wherein neighboring layers are weakly bonded by van der Waals…

Materials Science · Physics 2016-01-22 Can Li , Torben Winzer , Aron Walsh , Binghai Yan , Catherine Stampfl , Aloysius Soon
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