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The artificial stacking of atomically thin crystals suffers from intrinsic limitations in terms of control and reproducibility of the relative orientation of exfoliated flakes. This drawback is particularly severe when the properties of the…

Fractionalization is a phenomenon in which strong interactions in a quantum system drive the emergence of excitations with quantum numbers that are absent in the building blocks. Outstanding examples are excitations with charge e/3 in the…

The recently synthesized 30$^\circ$ twisted bilayer graphene (30$^\circ$-TBG) systems are unique quasicrystal systems possessing dodecagonal symmetry with graphene's relativistic properties. We employ a real-space numerical atomistic…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Kevin J. U. Vidarte , Caio Lewenkopf

The Raman shift, broadening, and relative Raman intensities of bilayer graphene are computed as functions of the electron concentration. We include dynamic effects for the phonon frequencies and we consider the gap induced in the band…

Materials Science · Physics 2009-09-11 Paola Gava , Michele Lazzeri , A. Marco Saitta , Francesco Mauri

We have theoretically studied the collective response properties of the two-dimensional chiral electron gas in bilayer graphene within the random phase approximation. The cooperation of external controlling factors like perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Wen-Long You , Xue-Feng Wang

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works,…

Strongly Correlated Electrons · Physics 2012-05-31 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon

Fractionalization without time-reversal symmetry breaking is a long-sought-after goal in the study of correlated phenomena. The earlier proposal of correlated insulating states at $n \pm 1/3$ filling in twisted bilayer graphene and recent…

Strongly Correlated Electrons · Physics 2023-07-27 Dan Mao , Kevin Zhang , Eun-Ah Kim

To make a statement about the nature and mechanism of fragmentation, it is necessary to probe directly any competition, or lack thereof, between the emission of various particle species as a function of excitation energy. The task is then…

Nuclear Experiment · Physics 2007-05-23 L. Beaulieu , L. Phair , L. G. Moretto , G. J. Wozniak

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jackiw , S. -Y. Pi

Fractionalized phases are studied in a low energy theory of exciton bose condensate in a multi-band insulator. It is shown that U(1) gauge theory with either fractionalized boson or fermion can emerge out of a single model depending on the…

Strongly Correlated Electrons · Physics 2007-05-23 Sung-Sik Lee , Patrick A. Lee

We study the atomic structure of twisted bilayer graphene, with very small mismatch angles ($\theta \sim 0.28^0$), a topic of intense recent interest. We use simulations, in which we combine a recently presented semi-empirical potential for…

Materials Science · Physics 2016-11-15 Sandeep K. Jain , Vladimir Juricic , Gerard T. Barkema

We compute the phase diagram of a biased graphene bilayer. The existence of a ferromagnetic phase is discussed with respect both to carrier density and temperature. We find that the ferromagnetic transition is first order, lowering the…

Mesoscale and Nanoscale Physics · Physics 2008-05-06 Eduardo V. Castro , N. M. R. Peres , T. Stauber , N. A. P. Silva

The charge susceptibility of twisted bilayer graphene is investigated in the Dirac cone, respectively random-phase approximation. For small enough twist angles $\theta\lesssim 2^\circ$ we find weakly Landau damped interband plasmons, i.~e.,…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 T. Stauber , H. Kohler

At a large displacement field, in rhomboedral and Bernal-stacked graphene a normal paramagnetic state transitions to a correlated state. Recent experiments showed that such systems have several phase transitions as a function of the carrier…

Mesoscale and Nanoscale Physics · Physics 2023-03-31 Igor V. Blinov , Chunli Huang , Nemin Wei , Qin Wei , Tobias Wolf , Allan H. MacDonald

Few-layer graphene possesses low-energy carriers which behave as massive fermions, exhibiting intriguing properties in both transport and light scattering experiments. Lowering the excitation energy of resonance Raman spectroscopy down to…

A new type of long-range ordering in the absence of translational symmetry gives rise to drastic revolution of our common knowledge in condensed matter physics. Quasicrystal, as such unconventional system, became a plethora to test our…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Moon Jip Park , Hee Seung Kim , SungBin Lee

Two dimensional moir\'e systems have recently emerged as a platform in which the interplay between topology and strong correlations of electrons play out in non-trivial ways. Among these systems, twisted double bilayer graphene (TDBG) is of…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 Debasmita Giri , Dibya Kanti Mukherjee , H. A. Fertig , Arijit Kundu

Free standing silicene is predicted to display comparable electronic properties as graphene. However, the yet synthesized silicene-like structures have been only realized on different substrates which turned out to exhibit versatile…

Materials Science · Physics 2015-06-18 G. R. Berdiyorov , M. Neek-Amal , F. M. Peeters , Adri C. T. van Duin

Bilayer graphene is a nanomaterial that allows for well-defined, separated quantum states to be defined by electrostatic gating and, therefore, provides an attractive platform to construct tunable quantum dots. When a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Jozef Bucko , Frank Schäfer , František Herman , Rebekka Garreis , Chuyao Tong , Annika Kurzmann , Thomas Ihn , Eliska Greplova

Graphene [1] and its bilayer have generated tremendous excitement in the physics community due to their unique electronic properties [2]. The intrinsic physics of these materials, however, is partially masked by disorder, which can arise…

Mesoscale and Nanoscale Physics · Physics 2010-09-10 Benjamin E. Feldman , Jens Martin , Amir Yacoby