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Friedel oscillation is a well-known wave phenomenon, which represents the oscillatory response of electron waves to imperfection. By utilizing the pseudospin-momentum locking in gapless graphene, two recent experiments demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Shu-Hui Zhang , Jin Yang , Ding-Fu Shao , Zhenhua Wu , Wen Yang

Chiral quasiparticles in Bernal-stacked bilayer graphene have valley-contrasting Berry phases of 2{\pi}. This nontrival topological structure, associated with the pseudospin winding along a closed Fermi surface, is responsible for various…

Materials Science · Physics 2020-05-05 Yu Zhang , Ying Su , Lin He

The electronic properties of graphene have been intensively investigated over the last decade, and signatures of the remarkable features of its linear Dirac spectrum have been displayed using transport and spectroscopy experiments. In…

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) phases that the electronic states can acquire when a uniform time-dependent electric field carries the…

Materials Science · Physics 2009-11-13 R. Englman , T. Vértesi

The wavefront dislocation is an important and ubiquitous phenomenon in wave fields. It is closely related to the phase singularity in a wave function. Some recent studies have verified that the wavefront dislocations in the local density of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

Berry phase is one of the key elements to understand quantum-mechanical phenomena such as the Aharonov-Bohm effect and the unconventional Hall effect in graphene. The Berry phase in monolayer and bilayer graphene has been manifested by the…

Materials Science · Physics 2024-08-15 Hayoon Im , Sue Hyeon Hwang , Minhee Kang , Kyoo Kim , Haeyong Kang , Choongyu Hwang

The physics of massless relativistic quantum particles has recently arisen in the electronic properties of solids following the discovery of graphene. Around the accidental crossing of two energy bands, the electronic excitations are…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Thibaud Louvet , Pierre Delplace , Andrei A. Fedorenko , David Carpentier

We demonstrate that dislocations in the graphene lattice give rise to electron Berry phases equivalent to quantized values {0,1/3,-1/3} in units of the flux quantum, but with an opposite sign for the two valleys. An elementary scale…

Mesoscale and Nanoscale Physics · Physics 2011-08-04 Andrej Mesaros , Darius Sadri , Jan Zaanen

The electronic dispersion of a graphene bilayer is highly dependent on rotational mismatch between layers and can be further manipulated by electrical gating. This allows for an unprecedented control over electronic properties and opens up…

Materials Science · Physics 2016-08-31 Johannes C. Rode , Dmitri Smirnov , Hennrik Schmidt , Rolf J. Haug

Displacement field control of elecronic bands in low-dimensional systems is a promising route toward engineering emergent quantum phases. Here, we report displacement-field-induced band inversion and modulation of the Berry phase of…

Mesoscale and Nanoscale Physics · Physics 2025-06-11 Harsimran Kaur Mann , Simrandeep Kaur , Safil Mullick , Priya Tiwari , Kenji Watanabe , Takashi Taniguchi , Aveek Bid

Electron motion in crystals is governed by the coupling between crystal momentum and internal degrees of freedom such as spin implicit in the band structure. The description of this coupling in terms of a momentum-dependent effective field…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2,…

Mesoscale and Nanoscale Physics · Physics 2011-11-21 Cheol-Hwan Park , Nicola Marzari

The topological structure of the wavefunctions of particles in periodic potentials is characterized by the Berry curvature $\Omega_{kn}$ whose integral on the Brillouin zone is a topological invariant known as the Chern number. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

The ability to engineer the electronic band structure and, more strikingly, to access new exotic phase of matter has been the cornerstone of the advance of science and technology. Twisting van der Waals materials to form moir\'e…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Sheng-Chin Ho , Ching-Hao Chang , Yu-Chiang Hsieh , Shun-Tsung Lo , Botsz Huang , Thi-Hai-Yen Vu , Carmine Ortix , Tse-Ming Chen

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

We study the energy spectrum and electronic properties of graphene in a periodic magnetic field of zero average with a symmetry of triangular lattice. The periodic field leads to formation of a set of minibands separated by gaps, which can…

Materials Science · Physics 2015-05-30 M. Taillefumier , V. K. Dugaev , B. Canals , C. Lacroix , P. Bruno

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer graphene, some recent works reported nonlinear Hall signals in…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Meizhen Huang , Zefei Wu , Xu Zhang , Xuemeng Feng , Zishu Zhou , Shi Wang , Yong Chen , Chun Cheng , Kai Sun , Zi Yang Meng , Ning Wang
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